Existence of independent random matching
| dc.creator | Duffie, Darrell | |
| dc.creator | Sun, Yeneng | |
| dc.date | 2007-03-01 | |
| dc.date.accessioned | 2026-07-07T07:49:35Z | |
| dc.date.available | 2026-07-07T07:49:35Z | |
| dc.description | 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. | |
| dc.description | Published at http://dx.doi.org/10.1214/105051606000000673 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0703034 | |
| dc.identifier | http://arxiv.org/abs/math/0703034 | |
| dc.identifier | Annals of Applied Probability 2007, Vol. 17, No. 1, 386-419 | |
| dc.identifier | doi:10.1214/105051606000000673 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124906 | |
| dc.subject | Probability | |
| dc.subject | 60J05, 91B68 (Primary) 60A10 (Secondary) | |
| dc.title | Existence of independent random matching | |
| dc.type | text |