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Mathematical models of mutual mate choice

Alpern, Steven, Katrantzi, Ioanna and Reyniers, Diane J. (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.

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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
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Research centres and groups > Managerial Economics and Strategy Group
Departments > Mathematics
Departments > Management
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: CDAM-LSE-2005-20
Date Deposited: 23 Oct 2008 08:44
URL: http://eprints.lse.ac.uk/13928/

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