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来源类型Working Paper
规范类型报告
DOI10.3386/w17280
来源IDWorking 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
URLhttps://www.nber.org/papers/w17280
来源智库National Bureau of Economic Research (United States)
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条目标识符http://119.78.100.153/handle/2XGU8XDN/574955
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Darrell Duffie,Yeneng Sun. The Exact Law of Large Numbers for Independent Random Matching. 2011.
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