Equilibrium strategies in two-sided mate choice problem with age preferences

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 $m$.