Alpern, Steven, Katrantzi, Ioanna and Reyniers, Diane J. 
ORCID: 0000-0003-0677-2020
(2005)
Mathematical models of mutual mate choice.
CDAM research report (CDAM-LSE-2005-20).
Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.
Abstract
In this review, we present several variations of the Alpern-Reyniers two-sided matching model, with particular application to its biological interpretation as a mate selection game. In this context, the model describes equilibrium behavior in a dynamic game where unmated males and females of various types in a given cohort group are randomly matched in a succession of periods. If they 'accept' each other, they mate permanently and leave the cohort. The models differ in the utility u(x,y) they assign to individuals of type x who mates with one of type y. The two main models assume that (i) individuals prefer mates of similar type, u(x,y)= -|x-y|; or that (ii) they have a common preference for high types, u(x,y)= y. Other applications of the matching model, for example to job search, are only described briefly
| Item Type: | Monograph (Report) |
|---|---|
| Official URL: | http://www.cdam.lse.ac.uk |
| Additional Information: | © 2005 the authors |
| Divisions: | Mathematics Management |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 23 Oct 2008 08:44 |
| Last Modified: | 13 Sep 2024 16:32 |
| URI: | http://eprints.lse.ac.uk/id/eprint/13928 |
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