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Partnership formation with age-dependent preferences
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Alpern, Steve, Katrantzi, I. and Ramsey, D.M. (2013) Partnership formation with age-dependent preferences. European Journal of Operational Research, Vol.225 (No.1). pp. 91-99. doi:10.1016/j.ejor.2012.09.012 ISSN 0377-2217.
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Official URL: http://dx.doi.org/10.1016/j.ejor.2012.09.012
Abstract
We analyze a model of partnership formation in which players' preferences are based on the age of a prospective partner. There are two classes of individuals, called for convenience here male and female. Males and females are fertile for the same length of time, normalized to one unit. A male enters the mating pool at age 0 and meets prospective partners according to a Poisson process. At equilibrium, he accepts a female if the utility from mating exceeds the expected utility from future search, which depends on the acceptance strategies of all males and females and the corresponding steady-state distribution of age in the pool of unmated individuals. Females face an analogous problem. Mating pairs are only formed by mutual consent and individuals leave the pool of unmated individuals on finding a mating partner or reaching the age of 1. A policy iteration algorithm is used to determine the equilibrium acceptance strategies and the corresponding steady-state distribution of the age of individuals in the mating pool. Two examples are presented. © 2012 Elsevier B.V. All rights reserved.
| Item Type: | Journal Article | ||||
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| Divisions: | Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences Faculty of Social Sciences > Warwick Business School |
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| Journal or Publication Title: | European Journal of Operational Research | ||||
| Publisher: | Elsevier Science BV | ||||
| ISSN: | 0377-2217 | ||||
| Official Date: | 16 February 2013 | ||||
| Dates: |
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| Volume: | Vol.225 | ||||
| Number: | No.1 | ||||
| Page Range: | pp. 91-99 | ||||
| DOI: | 10.1016/j.ejor.2012.09.012 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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