Partnership formation with age-dependent preferences
AbstractWe 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.
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Bibliographic InfoArticle provided by Elsevier in its journal European Journal of Operational Research.
Volume (Year): 225 (2013)
Issue (Month): 1 ()
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Web page: http://www.elsevier.com/locate/eor
Game theory; Partnership formation; Policy iteration; Equilibrium profile;
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- Lones Smith, 2006. "The Marriage Model with Search Frictions," Journal of Political Economy, University of Chicago Press, vol. 114(6), pages 1124-1146, December.
- Shimer, R. & Smith, L., 1998.
"Assortive Matching and Search,"
98-09, Michigan - Center for Research on Economic & Social Theory.
- Shimer, R. & Smith, L., 1997. "Assortative Matching and Search," Working papers 97-2b, Massachusetts Institute of Technology (MIT), Department of Economics.
- Shimer, R. & Smith, L., 1997. "Assortative Matching and Search," Working papers 97-2a, Massachusetts Institute of Technology (MIT), Department of Economics.
- Alpern, Steve & Katrantzi, Ioanna, 2009. "Equilibria of two-sided matching games with common preferences," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1214-1222, August.
- Ramsey, David M., 2008. "A large population job search game with discrete time," European Journal of Operational Research, Elsevier, vol. 188(2), pages 586-602, July.
- Vladimir Mazalov & Anna Falko, 2008. "Nash Equilibrium In Two-Sided Mate Choice Problem," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 421-435.
- Burdett, Kenneth & Coles, Melvyn G, 1999. "Long-Term Partnership Formation: Marriage and Employment," Economic Journal, Royal Economic Society, vol. 109(456), pages F307-34, June.
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