§13.1Romer 1990 R&D 도입
Romer 1990 R&D Setup9 eq
(13.1)
Romer 1990 expanding-variety
Romer 1990 Expanding-Variety Production
DRAFT
vc-passed
$$Y(t) = \frac{1}{1-\beta}\, \int_0^{N(t)} x(\nu, t)^{1-\beta}\, d\nu \cdot L^{\beta}$$
Intuition
★★ Romer (1990) endogenous growth 정전. 적분형 생산함수 — 무한 변종 결합. N(t) 는 사용 가능한 중간재 종 수, 시간에 따라 증가 → 성장 동력.
3세 비유
한 나라가 만들 수 있는 "제품 종류" 수가 늘어날수록 생산성이 증가.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | |
Applications
- endogenous growth empirics
- 한국 R&D 4.5% 비율의 framework
Civilizational Relevance
★★ 1980s endogenous growth revolution 의 정전.
(13.2)
Romer 생산 (alt)
Romer Production (alt form)
DRAFT
vc-passed
$$Y(t) = \frac{1}{1-\beta}\, \int_0^{N(t)} x(\nu, t)^{1-\beta}\, d\nu \cdot L^{\beta}$$
Intuition
DRAFT — (13.1) 의 동일 — 표기.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — (13.1) 의 동일 — 표기.
(13.3)
Romer 자원제약
Romer Resource Constraint
DRAFT
vc-passed
$$C(t) + X(t) + Z(t) \leq Y(t)$$
Intuition
DRAFT — 총 자원 = 소비 + 중간재 비용 X + R&D Z.
3세 비유
DRAFT — 벌은 것 = 먹고 + 기계비 + 발명비.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — 총 자원 = 소비 + 중간재 비용 X + R&D Z.
(13.4)
R&D 진화 (Romer)
R&D Evolution
DRAFT
vc-passed
$$\dot N(t) = \eta\, Z(t)$$
Intuition
DRAFT — (13.5) 와 동일 표기.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — (13.5) 와 동일 표기.
(13.5)
R&D production function
R&D Production Function
DRAFT
vc-passed
$$\dot N(t) = \eta\, Z(t)$$
Intuition
변종 수 N(t) 의 증식 — R&D 투입 Z(t) 에 비례. η 는 R&D 효율.
3세 비유
새 제품 발명 속도 = R&D 에 쓰는 자원 × 효율.
Civilizational Relevance
혁신 정책의 anchor 식.
(13.6)
Romer 중간재 수요
Romer Intermediate Demand
DRAFT
vc-passed
$$x(\nu, t) = p_x(\nu, t)^{-1/\beta}\, L$$
Intuition
DRAFT — ★ 중간재 ν 수요 — 가격 inverse + 노동 비례.
3세 비유
DRAFT — 기계 수요 = 가격 역 × 노동.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ 중간재 ν 수요 — 가격 inverse + 노동 비례.
(13.7) ★
Variety value (general)
Variety Value (General)
DRAFT
vc-passed
$$V(\nu, t) = \int_t^{\infty} \exp\!\left(-\int_t^s r(s')\, ds'\right)\, \pi(\nu, s)\, ds$$
Intuition
DRAFT — ★ 변종 ν 의 미래가치 = 이윤의 현재가치.
3세 비유
DRAFT — 발명품의 가치 = 미래 이익 합 (할인).
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ 변종 ν 의 미래가치 = 이윤의 현재가치.
(13.8) ★
Asset pricing (V)
Asset Pricing (V)
DRAFT
vc-passed
$$r(t)\, V(\nu, t) - \dot V(\nu, t) = \pi(\nu, t)$$
Intuition
DRAFT — ★ Hamilton-Jacobi-Bellman 형식 — 자산가치의 진화.
3세 비유
DRAFT — 자산가치 변화 = 이자 - 이윤.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ Hamilton-Jacobi-Bellman 형식 — 자산가치의 진화.
(13.9)
13.1.2 헤더
13.1.2 Header
DRAFT
vc-passed
$$\text{Equilibrium characterization (placeholder)}$$
Intuition
DRAFT — section header — equilibrium 정의.
Genealogy
| 인물 | 저작 | note |
|---|
| Daron Acemoglu (2009) | Introduction to Modern Economic Growth (Ch.13) | DRAFT — Romer 1990 expanding variety 통합. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — section header — equilibrium 정의.
§13.2Romer BGP 균형
Romer BGP Equilibrium12 eq
(13.10)
Monopolist optimal price
Monopolist Optimal Price
DRAFT
vc-passed
$$p^x = \frac{\psi}{1 - \beta}$$
Intuition
★ 단일 monopolist 의 markup pricing. β = 자유경쟁 mark-up rate.
3세 비유
독점기업 가격 = 비용 / (1 - 시장지배력).
Genealogy
| 인물 | 저작 | note |
|---|
| Dixit-Stiglitz (1977) | Monopolistic Competition | |
Applications
- new trade theory
- Krugman 1979
Civilizational Relevance
monopolistic competition 의 정전.
(13.11)
Romer 독점이윤
Romer Monopoly Profit
DRAFT
vc-passed
$$\pi(\nu, t) = \beta\, L$$
Intuition
DRAFT — ★ 표준 markup → 이윤 = β × L.
3세 비유
DRAFT — 독점이윤 = β × 노동.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ 표준 markup → 이윤 = β × L.
(13.12)
Romer aggregate Y
Romer Aggregate Y
DRAFT
vc-passed
$$Y(t) = \frac{1}{1-\beta}\, N(t)\, L$$
Intuition
DRAFT — ★ 변종 N 으로 표현된 aggregate Y. AK-like in N.
3세 비유
DRAFT — 전체 산출 = 변종 수 × 노동.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ 변종 N 으로 표현된 aggregate Y. AK-like in N.
(13.13)
Romer 임금
Romer Wage
DRAFT
vc-passed
$$w(t) = \frac{\beta}{1-\beta}\, N(t)$$
Intuition
DRAFT — ★ 임금 = β × N — Romer 의 정전 결과.
3세 비유
DRAFT — 임금이 변종 수에 비례.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ 임금 = β × N — Romer 의 정전 결과.
(13.14) ★
★ R&D 자유진입 조건
R&D Free-entry Condition
DRAFT
vc-passed
$$\eta\, V(\nu, t) \leq 1,\ Z(\nu, t) \geq 0,\ (\eta\, V - 1)\, Z = 0$$
Intuition
DRAFT — ★ free-entry / no-arbitrage — R&D 의 한계가치 = 한계비용 (1 unit).
3세 비유
DRAFT — 발명할 가치 = 발명 비용.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ free-entry / no-arbitrage — R&D 의 한계가치 = 한계비용 (1 unit).
(13.15)
Innovation value (V)
Innovation Value Function
DRAFT
vc-passed
$$V(\nu, t) = \int_t^{\infty} e^{-\int_t^s r(z) dz}\, \pi(\nu, s)\, ds$$
Intuition
★ 새 변종 ν 의 시장가치 = 미래 이윤의 현재가치. 표준 asset pricing.
3세 비유
새 발명의 가치 = 앞으로 받을 모든 이윤의 "오늘 가치".
Genealogy
| 인물 | 저작 | note |
|---|
| Lucas (1978) | Asset Prices in an Exchange Economy | |
Applications
- startup valuation
- patent valuation
Civilizational Relevance
asset pricing standard formula.
(13.16)
Consumption Euler
Consumption Euler
DRAFT
vc-passed
$$\frac{\dot C(t)}{C(t)} = \frac{1}{\theta}\, (r(t) - \rho)$$
Intuition
DRAFT — ★ ★ CRRA Euler — Romer 균형의 핵심.
3세 비유
DRAFT — 소비 성장 = (이자율-시간선호)/θ.
Genealogy
| 인물 | 저작 | note |
|---|
| Frank Ramsey (1928) | A Mathematical Theory of Saving | DRAFT — Euler/CRRA 표준. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ ★ CRRA Euler — Romer 균형의 핵심.
(13.17)
TVC (Romer)
Romer Transversality
DRAFT
vc-passed
$$\lim_{t\to\infty} \exp\!\left(-\int_0^t r(s)\, ds\right) \int_0^{N(t)} V(\nu, t)\, d\nu = 0$$
Intuition
DRAFT — ★ Romer TVC — 자산가치 PV → 0.
3세 비유
DRAFT — 마지막에 자산 PV → 0.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ Romer TVC — 자산가치 PV → 0.
(13.18)
균형 변수 정의
Equilibrium Variables Definition
DRAFT
vc-passed
$$[C(t), X(t), Z(t), N(t)]_{t=0}^{\infty}\ \text{equilibrium tuple}$$
Intuition
DRAFT — Romer 균형 정의 — placeholder.
3세 비유
DRAFT — Romer 균형 정의.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — Romer 균형 정의 — placeholder.
(13.19) ★
★ Romer no-arbitrage
Romer No-Arbitrage
DRAFT
vc-passed
$$\frac{\eta\, \beta\, L}{r^*} = 1$$
Intuition
DRAFT — ★ ★ ★ Romer no-arbitrage — η β L = r*. R&D 의 PV = 1. **scale effect** 의 출발.
3세 비유
DRAFT — R&D 한계 수익 = 이자율 → 변종 출현 가능.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ ★ ★ Romer no-arbitrage — η β L = r*. R&D 의 PV = 1. **scale effect** 의 출발.
(13.20) ★
Romer growth (alt form)
Romer Growth (alt form)
DRAFT
vc-passed
$$g^* = \frac{1}{\theta}\, (\eta\, \beta\, L - \rho)$$
Intuition
DRAFT — ★ (13.25) 동일 — Romer growth.
3세 비유
DRAFT — Romer growth 식.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ (13.25) 동일 — Romer growth.
(13.21)
Romer wellposedness
Romer Wellposedness
DRAFT
vc-passed
$$\eta\, \beta\, L > \rho \quad \text{and} \quad (1-\theta)\, \eta\, \beta\, L < \rho$$
Intuition
DRAFT — 성장 양수 + utility 유한 조건.
3세 비유
DRAFT — Romer 가 well-posed 조건.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — 성장 양수 + utility 유한 조건.
§13.3Lab Equipment Specification + SP
Lab Equipment + Social Planner11 eq
(13.22)
Romer SP problem
Romer Social Planner Problem
DRAFT
vc-passed
$$C(t) + Z(t) \leq \frac{1}{1-\beta}\, \int_0^{N(t)} x^{1-\beta}\, d\nu \cdot L^{\beta} - \int_0^{N(t)} \psi\, x\, d\nu$$
Intuition
DRAFT — ★ social planner 의 자원제약. Pareto vs decentralized 비교.
3세 비유
DRAFT — 사회계획자의 예산 제약.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ social planner 의 자원제약. Pareto vs decentralized 비교.
(13.23) ★
★ SP growth rate
SP Growth Rate
DRAFT
vc-passed
$$\frac{\dot{C}^S(t)}{C^S(t)} = \frac{1}{\theta}\, (\eta\, (1-\beta)^{-1/\beta}\, \beta\, L - \rho)$$
Intuition
DRAFT — ★ ★ social planner 의 g — decentralized (13.20) 보다 빠름. **welfare gap** 의 정량.
3세 비유
DRAFT — 사회계획 성장률 > 시장 성장률.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ ★ social planner 의 g — decentralized (13.20) 보다 빠름. **welfare gap** 의 정량.
(13.24)
Pareto markup formula
Pareto Markup Formula
DRAFT
vc-passed
$$p_x = \gamma\, \psi$$
Intuition
DRAFT — ★ Pareto 가격 = γ × 비용. γ < ε/(ε-1) → underprovided.
3세 비유
DRAFT — 최적 가격은 시장보다 낮다.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ Pareto 가격 = γ × 비용. γ < ε/(ε-1) → underprovided.
(13.25)
BGP growth rate (Romer)
Romer BGP Growth Rate
DRAFT
vc-passed
$$g^* = \frac{\eta\, L\, \beta - \rho}{\theta}$$
Intuition
★★ Romer 1990 BGP growth rate. **scale effect: g* 가 인구 L 에 비례** — '큰 나라가 빨리 성장' (논쟁점). Jones 1995 critique.
3세 비유
Romer 의 예측: 인구가 많을수록 빨리 성장 (Jones 1995 가 반박).
Genealogy
| 인물 | 저작 | note |
|---|
| Romer (1990) | | |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | Romer scale effect critique. |
Applications
- scale effect 토론
- 한국 vs 일본 비교 (인구 ÷ 성장)
Civilizational Relevance
★★ 1990s growth empirics 핵심 토론.
(13.26) ★
Labor allocation (R&D + production)
Labor Allocation
DRAFT
vc-passed
$$L_R(t) + L_E(t) \leq L,\ Y(t) = \frac{1}{1-\beta}\, N(t)\, L_E(t)$$
Intuition
DRAFT — ★ 노동을 R&D 와 생산에 분배.
3세 비유
DRAFT — 노동 = R&D 인력 + 제조 인력.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ 노동을 R&D 와 생산에 분배.
(13.27)
Profit (variant)
Profit (Lab Equip variant)
DRAFT
vc-passed
$$\pi(t) = \beta\, L_E(t)$$
Intuition
DRAFT — (13.11) 의 변형 — L 대신 L_E.
3세 비유
DRAFT — 이윤 = 제조노동 비례.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — (13.11) 의 변형 — L 대신 L_E.
(13.28)
Labor R&D condition
Labor R&D Condition
DRAFT
vc-passed
$$\eta\, N(t)\, V(\nu, t) = w(t)$$
Intuition
DRAFT — ★ Lab equipment specification — R&D 1단위 = 임금.
3세 비유
DRAFT — 발명 1단위 가치 = 임금.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ Lab equipment specification — R&D 1단위 = 임금.
(13.29)
η N β L_E condition
η N β L_E Condition
DRAFT
vc-passed
$$\frac{\eta\, N(t)\, \beta\, L_E(t)}{r^*} = \frac{\beta}{1-\beta}\, N(t)$$
Intuition
DRAFT — BGP no-arbitrage — Lab equipment 변형.
3세 비유
DRAFT — BGP 시 자유진입 조건.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — BGP no-arbitrage — Lab equipment 변형.
(13.30) ★
★ Lab equipment growth
Lab Equipment Growth
DRAFT
vc-passed
$$\frac{\dot{C}}{C} = \frac{1}{\theta}\, ((1-\beta)\, \eta\, L^*_E - \rho) \equiv g^*$$
Intuition
DRAFT — ★ Lab equipment specification 의 g — Romer 변형.
3세 비유
DRAFT — Lab equipment growth 식.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ Lab equipment specification 의 g — Romer 변형.
(13.31) ★
★ L*_E 균형
L*_E Equilibrium
DRAFT
vc-passed
$$L^*_E = \frac{\theta\, \eta\, L + \rho}{(1-\beta)\, \eta + \theta\, \eta}$$
Intuition
DRAFT — ★ 균형 노동 분배 — R&D vs 제조.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ 균형 노동 분배 — R&D vs 제조.
(13.32)
Lab equipment wellposed
Lab Equipment Wellposed
DRAFT
vc-passed
$$(1-\theta)(1-\beta)\, \eta\, L^*_E < \rho < (1-\beta)\, \eta\, L^*_E$$
Intuition
DRAFT — Lab eq spec wellposedness.
3세 비유
DRAFT — wellposed 조건.
Genealogy
| 인물 | 저작 | note |
|---|
| Paul Romer (1990) | Endogenous Technological Change (JPE) | DRAFT — expanding variety endogenous growth 의 정전. |
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique → semi-endogenous growth. |
| Avinash Dixit & Joseph Stiglitz (1977) | Monopolistic Competition and Optimum Product Diversity | DRAFT — CES variety preference 의 underlying. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — Lab eq spec wellposedness.
§13.4Jones 1995 Knowledge Spillover
Jones 1995 Knowledge Spillover6 eq
(13.33)
Jones lifetime utility
Jones Lifetime Utility
DRAFT
vc-passed
$$\int_0^{\infty} e^{-(\rho-n)t}\, \frac{c(t)^{1-\theta} - 1}{1-\theta}\, dt$$
Intuition
DRAFT — Jones 1995 — population growth + 인구 dilution.
3세 비유
DRAFT — Jones critique 의 평생효용.
Genealogy
| 인물 | 저작 | note |
|---|
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — Jones 의 baseline. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — Jones 1995 — population growth + 인구 dilution.
(13.34) ★
★ ★ Jones R&D 함수
Jones R&D Function
DRAFT
vc-passed
$$\dot N(t) = \eta\, N(t)^{\varphi}\, L_R(t)$$
Intuition
DRAFT — ★ ★ ★ Jones 1995 정전 — knowledge spillover φ. φ<1 → semi-endogenous (scale effect 제거).
3세 비유
DRAFT — Jones critique 의 R&D 함수.
Genealogy
| 인물 | 저작 | note |
|---|
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — Jones 의 baseline. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ ★ ★ Jones 1995 정전 — knowledge spillover φ. φ<1 → semi-endogenous (scale effect
(13.35)
Jones labor
Jones Labor
DRAFT
vc-passed
$$L_E(t) + L_R(t) \leq L(t)$$
Intuition
DRAFT — 노동 분배 (시간 가변 L(t)).
3세 비유
DRAFT — 노동 분배 — 인구 변화 반영.
Genealogy
| 인물 | 저작 | note |
|---|
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — Jones 의 baseline. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — 노동 분배 (시간 가변 L(t)).
(13.36)
Jones no-arbitrage
Jones No-Arbitrage
DRAFT
vc-passed
$$\frac{\eta\, N(t)^{\varphi}\, \beta\, L_E(t)}{r^* - n} = w(t)$$
Intuition
DRAFT — Jones 의 free-entry — 인구 보정.
Genealogy
| 인물 | 저작 | note |
|---|
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — Jones 의 baseline. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — Jones 의 free-entry — 인구 보정.
(13.37) ★
★ Jones g*_N
Jones g*_N
DRAFT
vc-passed
$$g^*_N \equiv \frac{\dot N(t)}{N(t)} = \frac{n}{1-\varphi}$$
Intuition
DRAFT — ★ ★ ★ Jones 1995 의 정전 — g_N 은 인구성장률 n 만의 함수 (semi-endogenous).
3세 비유
DRAFT — Jones 결과 — 성장률 = n/(1-φ).
Genealogy
| 인물 | 저작 | note |
|---|
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — Jones 의 baseline. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ ★ ★ Jones 1995 의 정전 — g_N 은 인구성장률 n 만의 함수 (semi-endogenous).
(13.38) ★
★ Jones g*_C
Jones g*_C
DRAFT
vc-passed
$$g^*_C = g^*_N = \frac{n}{1-\varphi}$$
Intuition
DRAFT — ★ Jones — 1인당 소비 성장률 = N 성장률 = n/(1-φ). scale effect 제거.
3세 비유
DRAFT — 소비 성장 = n/(1-φ).
Genealogy
| 인물 | 저작 | note |
|---|
| Charles Jones (1995) | R&D-Based Models of Economic Growth (JPE) | DRAFT — scale effect critique. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — Jones 의 baseline. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ Jones — 1인당 소비 성장률 = N 성장률 = n/(1-φ). scale effect 제거.
§13.5Grossman-Helpman 1991 — Variety in Consumption
Grossman-Helpman: Variety in Consumption16 eq
(13.39)
GH lifetime utility
GH Lifetime Utility
DRAFT
vc-passed
$$\int_0^{\infty} e^{-\rho t}\, \log C(t)\, dt$$
Intuition
DRAFT — Grossman-Helpman log utility.
3세 비유
DRAFT — GH 평생효용 — 로그.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — Grossman-Helpman log utility.
(13.40) ★
★ GH CES consumption
GH CES Consumption
DRAFT
vc-passed
$$C(t) \equiv \left(\int_0^{N(t)} c(\nu, t)^{(\varepsilon-1)/\varepsilon}\, d\nu\right)^{\varepsilon/(\varepsilon-1)}$$
Intuition
DRAFT — ★ ★ Grossman-Helpman CES — 무한 변종 소비. (12.8) continuum form.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ ★ Grossman-Helpman CES — 무한 변종 소비. (12.8) continuum form.
(13.41)
GH 생산함수 (단순)
GH Simple Production
DRAFT
vc-passed
$$y(\nu, t) = l(\nu, t)$$
Intuition
DRAFT — 단순 1:1 생산 — 1 노동 = 1 단위.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — 단순 1:1 생산 — 1 노동 = 1 단위.
(13.42)
GH R&D function
GH R&D Function
DRAFT
vc-passed
$$\dot N(t) = \eta\, N(t)\, L_R(t)$$
Intuition
DRAFT — ★ Romer-style R&D — N 비례.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ Romer-style R&D — N 비례.
(13.43)
Resource (GH)
Resource (GH)
DRAFT
vc-passed
$$\int_0^{N(t)} l(\nu, t)\, d\nu + L_R(t) \leq L$$
Intuition
DRAFT — 노동 자원 제약.
3세 비유
DRAFT — 노동 분배 + R&D 합계.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — 노동 자원 제약.
(13.44)
★ GH 수요 (CES)
GH CES Demand
DRAFT
vc-passed
$$c(\nu, t) = p_c(\nu, t)^{-\varepsilon}\, \left(\int p_c(\nu')^{1-\varepsilon}\, d\nu'\right)^{-\varepsilon/(1-\varepsilon)}$$
Intuition
DRAFT — ★ CES 수요 — variety 별.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ CES 수요 — variety 별.
(13.45)
GH normalization
GH Normalization
DRAFT
vc-passed
$$\left(\int_0^{N(t)} p_c(\nu)^{1-\varepsilon}\, d\nu\right)^{1/(1-\varepsilon)} = 1$$
Intuition
DRAFT — 가격지수 = 1 normalization.
3세 비유
DRAFT — GH 가격지수 정규화.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — 가격지수 = 1 normalization.
(13.46)
GH consumption Euler
GH Consumption Euler
DRAFT
vc-passed
$$\frac{\dot C}{C} = r(t) - \rho$$
Intuition
DRAFT — ★ log utility (θ=1) Euler.
3세 비유
DRAFT — GH log Euler.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ log utility (θ=1) Euler.
(13.47) ★
GH symmetric solution
GH Symmetric Solution
DRAFT
vc-passed
$$p_c = \frac{\varepsilon}{\varepsilon - 1}\, w(t),\ c(\nu, t) = l(\nu, t) = \frac{L_E}{N(t)}$$
Intuition
DRAFT — ★ GH 대칭 균형 — markup pricing + 등분.
3세 비유
DRAFT — GH 균형 가격 + 수량.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ GH 대칭 균형 — markup pricing + 등분.
(13.48)
GH 이윤
GH Profit
DRAFT
vc-passed
$$\pi(\nu, t) = \frac{1}{\varepsilon - 1}\, \frac{L_E(t)}{N(t)}\, w(t)$$
Intuition
DRAFT — ★ GH variety 별 이윤.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ GH variety 별 이윤.
(13.49)
GH 통합 V
GH Aggregate V
DRAFT
vc-passed
$$V(t) = N(t)\, \frac{\varepsilon}{\varepsilon-1}\, c(t) = L_E(t)\, \frac{N(t)}{\varepsilon-1}$$
Intuition
DRAFT — ★ GH 통합 자산가치.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ GH 통합 자산가치.
(13.50)
GH free entry
GH Free Entry
DRAFT
vc-passed
$$\eta\, N(t)\, V(t) = w(t)$$
Intuition
DRAFT — GH free-entry 조건.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — GH free-entry 조건.
(13.51)
GH π = (1/(ε-1)) η V
GH π = (1/(ε-1)) η V
DRAFT
vc-passed
$$\pi(t) = \frac{1}{\varepsilon - 1}\, L_E(t)\, \eta\, V(t)$$
Intuition
DRAFT — ★ (13.50) + (13.48) 결합.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ (13.50) + (13.48) 결합.
(13.52)
GH BGP V
GH BGP V
DRAFT
vc-passed
$$V(t) = \frac{\pi(t)}{r^* - g^* + g_N}$$
Intuition
DRAFT — BGP 자산가치.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — BGP 자산가치.
(13.53) ★
★ ★ GH L*_R
GH L*_R
DRAFT
vc-passed
$$L^*_R = \frac{\eta\, L - (\varepsilon - 1)\, \rho}{\eta\, \varepsilon}$$
Intuition
DRAFT — ★ GH R&D 노동 균형.
3세 비유
DRAFT — GH 최적 R&D 노동.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ GH R&D 노동 균형.
(13.54) ★
★ ★ ★ GH 성장률
GH Growth Rate
DRAFT
vc-passed
$$g^* = \frac{g_N}{\varepsilon - 1} = \frac{\eta\, L - (\varepsilon - 1)\, \rho}{(\varepsilon - 1)\, \varepsilon}$$
Intuition
DRAFT — ★ ★ ★ Grossman-Helpman 성장률 — variety in consumption 의 정전.
Genealogy
| 인물 | 저작 | note |
|---|
| Gene Grossman & Elhanan Helpman (1991) | Innovation and Growth in the Global Economy | DRAFT — variety + quality framework. |
| Paul Romer (1990) | Endogenous Technological Change | DRAFT — variety origin. |
Applications
- Romer 1990 endogenous innovation
- Jones 1995 semi-endogenous critique
- Grossman-Helpman 1991 quality ladders origin
- Krugman 1980 trade & variety
- Aghion-Howitt 1992 creative destruction (next ch14)
Civilizational Relevance
DRAFT — ★ canonical bridge — ★ ★ ★ Grossman-Helpman 성장률 — variety in consumption 의 정전.