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来源类型 | Working Paper |
规范类型 | 报告 |
DOI | 10.3386/w17280 |
来源ID | Working Paper 17280 |
The Exact Law of Large Numbers for Independent Random Matching | |
Darrell Duffie; Yeneng Sun | |
发表日期 | 2011-08-11 |
出版年 | 2011 |
语种 | 英语 |
摘要 | This paper provides a mathematical foundation for independent random matching of a large population, as widely used in the economics literature. We consider both static and dynamic systems with random mutation, partial matching arising from search, and type changes induced by matching. Under independence assumptions at each randomization step, we show that there is an almost-sure constant cross-sectional distribution of types in a large population, and moreover that the multi-period cross-sectional distribution of types is deterministic and evolves according to the transition matrices of the type process of a given agent. We also show the existence of a joint agent-probability space, and randomized mutation, partial matching and match-induced type-changing functions that satisfy appropriate independence conditions, where the agent space is an extension of the classical Lebesgue unit interval. |
主题 | Econometrics ; Microeconomics ; Economics of Information |
URL | https://www.nber.org/papers/w17280 |
来源智库 | National Bureau of Economic Research (United States) |
引用统计 | |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/574955 |
推荐引用方式 GB/T 7714 | Darrell Duffie,Yeneng Sun. The Exact Law of Large Numbers for Independent Random Matching. 2011. |
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文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
w17280.pdf(472KB) | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 |
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