Equilibrium Strategies in Two-Sided Mate Choice Problem with Age Preferences

Authors

  • Anna A. Ivashko Karelian Research Center of RAS
  • Elena N. Konovalchikova Transbaikal State University

Abstract

In the paper the two-sided mate choice model of Alpern, Katrantzi and Ramsey (2010) is considered. In the model the individuals from two groups (males and females) want to form a couple. It is assumed that the
total number of unmated males is greater than the total number of unmated females and the maximum age of males (m) is greater than the maximum age of females (n). There is steady state distribution for the age of indi
viduals. The aim of each individual is to form a couple with individual of minimum age. We derive analytically the equilibrium threshold strategies and investigate players’ payoffffs for the case n = 3 and large m.

Keywords:

mutual mate choice, equilibrium, threshold strategy

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References

Alpern, S. and Reyniers, D. (1999). Strategic mating with homotypic preferences. Journal of Theoretical Biology, 198, 71–88.

Alpern, S. and Reyniers, D. (2005). Strategic mating with common preferences. Journal of Theoretical Biology, 237, 337–354.

Alpern, S. Katrantzi, I. and Ramsey, D. (2010). Strategic mating with age dependent preferences. The London School of Economics and Political Science.

Alpern, S. Katrantzi, I. and Ramsey, D. (2013). Partnership formation with age-dependent preferences. European Journal of Operational Research, 225, 91–99.

Gale, D. and Shapley, L. S. (1962). College Admissions and the Stability of Marriage. The American Mathematical Monthly, 69(1), 9–15.

Kalick, S.M. and Hamilton, T. E. (1986). The matching hypothesis reexamined. J. Personality Soc. Psychol., 51, 673–682.

Mazalov, V. and Falko, A. (2008). Nash equilibrium in two-sided mate choice problem. International Game Theory Review. 10(4), 421–435.

Roth, A. and Sotomayor, M. (1992). Two-sided matching: A study in game-theoretic modeling and analysis. Cambridge University Press.

Konovalchikova, E. (2012). Model of mutual choice with age preferences. Mathematical Analysis and Applications. Transbaikal State University, 10–25 (in Russian)

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Published

2022-08-09

How to Cite

A. Ivashko, A., & N. Konovalchikova, . E. (2022). Equilibrium Strategies in Two-Sided Mate Choice Problem with Age Preferences. Contributions to Game Theory and Management, 7. Retrieved from https://gametheory.spbu.ru/article/view/13598

Issue

Vol. 7 (2014)

Section

Articles

License

Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.