摘要翻译:
在具有无限多商品的生产经济中,证明了竞争均衡的存在性,并证明了偏好依赖于价格的主体的测度空间。我们利用一个饱和测度空间,并应用最近关于无限维可分Banach空间的结果,如Lyapunov凸性定理和一个精确的Fatou引理,得到了这一结果。
---
英文标题:
《Equilibria in a large production economy with an infinite dimensional
commodity space and price dependent preferences》
---
作者:
Hyo Seok Jang, Sangjik Lee
---
最新提交年份:
2020
---
分类信息:
一级分类:Economics 经济学
二级分类:Theoretical Economics 理论经济学
分类描述:Includes theoretical contributions to Contract Theory, Decision Theory, Game Theory, General Equilibrium, Growth, Learning and Evolution, Macroeconomics, Market and Mechanism Design, and Social Choice.
包括对契约理论、决策理论、博弈论、一般均衡、增长、学习与进化、宏观经济学、市场与机制设计、社会选择的理论贡献。
--
一级分类:Mathematics 数学
二级分类:Optimization and Control 优化与控制
分类描述:Operations research, linear programming, control theory, systems theory, optimal control, game theory
运筹学,线性规划,控制论,系统论,最优控制,博弈论
--
---
英文摘要:
We prove the existence of a competitive equilibrium in a production economy with infinitely many commodities and a measure space of agents whose preferences are price dependent. We employ a saturated measure space for the set of agents and apply recent results for an infinite dimensional separable Banach space such as Lyapunov's convexity theorem and an exact Fatou's lemma to obtain the result.
---
PDF链接:
https://arxiv.org/pdf/1904.07444