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Contributions to Game Theory and Management, 2014, Volume 7, Pages 142–150
(Mi cgtm226)
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This article is cited in 1 scientific paper (total in 1 paper)
Equilibrium strategies in two-sided mate choice problem with age preferences
Anna A. Ivashkoa, Elena N. Konovalchikovab a Institute of Applied Mathematical Research, Karelian Research Center of RAS, Pushkinskaya str. 11, Petrozavodsk, 185910, Russia
b Transbaikal State University, Alekzavodskaya str. 30, Chita, 672039, Russia
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 individuals. 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' payoffs for the case $n=3$ and large $m$.
Keywords:
mutual mate choice, equilibrium, threshold strategy.
Citation:
Anna A. Ivashko, Elena N. Konovalchikova, “Equilibrium strategies in two-sided mate choice problem with age preferences”, Contributions to Game Theory and Management, 7 (2014), 142–150
Linking options:
https://www.mathnet.ru/eng/cgtm226 https://www.mathnet.ru/eng/cgtm/v7/p142
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