独立随机匹配的存在性
Existence of independent random matching
摘要：
本文证明了在静态和动态系统中大种群（连续）的独立随机匹配的存在性，这是经济学和遗传学文献中的一个热点问题。我们构造了一个联合代理概率空间，并随机变异，部分匹配和匹配诱导的类型改变功能，满足适当的独立性条件。证明是通过非标准分析实现的。动态设置的证明依赖于Loeb转移概率的无穷乘积的新的Fubini型定理，基于该定理，由随机突变、随机部分匹配和随机类型改变导出独立的连续马尔可夫链.
英文摘要：
This paper shows the existence of independent random matching of a large (continuum) population in both static and dynamic systems, which has been popular in the economics and genetics literatures. We construct a joint agent-probability space, and randomized mutation, partial matching and match-induced type-changing functions that satisfy appropriate independence conditions. The proofs are achieved via nonstandard analysis. The proof for the dynamic setting relies on a new Fubini-type theorem for an infinite product of Loeb transition probabilities, based on which a continuum of independent Markov chains is derived from random mutation, random partial matching and random type changing.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
