On the observational equivalence of random matching

Molzon, Robert; Puzzello, Daniela

doi:10.1016/j.jet.2010.02.008

Cited by 5 publications

(4 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…33 In the dynamic random matching model defined in the proof of Theorem 3.1 in [19] (and of Theorem 4 here), every step of randomization uses the realized type function generated in the step of randomization immediately before. 34 As noted in Subsection 3.2 of [44], there are many non-independent random matchings with some matching properties even for finitely many agents. 35 Independence is in general viewed as a behavioral assumption.…”

Section: Discussionmentioning

confidence: 99%

“…However, it is shown in the proof of Theorem 2.4 of [19, p. 399] that forî =ĵ inÎ, (πî,πĵ) is a measurepreserving mapping from (Ω, F, P ) to (Î ×Î,Î I,λ λ ), which implies thatπî andπĵ are independent as measurable mappings. 44 The idea of the proof of [19] can be used to show that for finitely many different agents, the mappings of their random partners are independent. This stronger independence property is shown explicitly in [47] for the particular universal random matching considered there.…”

Section: It Is Clear That ψ(Ementioning

confidence: 99%

“…process in a Fubini extension with a common distribution on the two-pint space {0, 1}; Proposition 3 of [47] provided another proof for such a special case. 44 We add the hat notation here.…”

Section: Proof Of Corollarymentioning

confidence: 99%

See 2 more Smart Citations

The Exact Law of Large Numbers for Independent Random Matching

Duffie

Sun

2011

View full text Add to dashboard Cite

We are grateful for helpful comments from an anonymous associate editor of this journal, two anonymous referees, and from Haifeng Fu, Xiang Sun, Pierre-Olivier Weill, Yongchao Zhang and Zhixiang Zhang. The views expressed herein are those of the authors and do not necessarily reflect the views of the National Bureau of Economic Research. NBER working papers are circulated for discussion and comment purposes. They have not been peerreviewed or been subject to the review by the NBER Board of Directors that accompanies official NBER publications.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: It Is Clear That ψ(Ementioning

confidence: 99%

See 1 more Smart Citation

The Exact Law of Large Numbers for Independent Random Matching

Duffie

Sun

2011

View full text Add to dashboard Cite

show abstract

“…In fact, even with finite population models one can easily construct matching models for which individual matching distributions are nonconstant (individual randomness) but have constant aggregate matching distributions[11]. Many distinct individual matching schemes can give exactly the same aggregate matching distribution.…”

mentioning

confidence: 99%

Large Population Limits for Evolutionary Dynamics with Random Matching

Molzon

2011

Dyn Games Appl

Self Cite

View full text Add to dashboard Cite

A frequent assumption in evolutionary game theory is that the population size is sufficiently large so that matching of players is essentially deterministic and payoffs are determined by the expected value of a random match. This paper studies the assumption in the context of a well known model of Kandori, Malaith, and Rob. As the population size tends to infinity, the stationary distribution of an evolutionary process defined by a class of two strategy-two player games with random matching of players fails to converge to the stationary distribution of the same process with the random match replaced by its expected value.

show abstract

Independent random matching

Podczeck

Puzzello

2010

Econ Theory

Self Cite

View full text Add to dashboard Cite

Random matching models with a continuum population are widely used in economics to study environments where agents interact in small coalitions. This paper provides foundations to such models. In particular, the paper establishes an existence result for random matchings that are universal in the sense that certain desirable properties are satisfied for any assignment of types to agents. The result applies to infinitely many types of agents, thus covering random matching models which are currently used in the literature without a foundation. Furthermore, the paper provides conditions guaranteeing uniqueness of random matching. JEL classification: C00, C02, C73, C78Keywords: Random matching; Involution; Independence; Continuum population; Fubini extension * We thank an anonymous referee for valuable comments and for suggestions on how to improve the presentation of the material of this paper.

show abstract

On the observational equivalence of random matching

Cited by 5 publications

References 40 publications

The Exact Law of Large Numbers for Independent Random Matching

The Exact Law of Large Numbers for Independent Random Matching

Large Population Limits for Evolutionary Dynamics with Random Matching

Independent random matching

Contact Info

Product

Resources

About