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Nash Equilibrium In Two-Sided Mate Choice Problem

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Author Info
VLADIMIR MAZALOV () (Institute of Applied Mathematical Research, Karelian Research Center of RAS, Petrozavodsk, 185910, Russia)
ANNA FALKO () (Institute of Applied Mathematical Research, Karelian Research Center of RAS, Petrozavodsk, 185910, Russia)
Abstract

We consider a two-sided search model in which individuals from two distinct populations would like to form a long-term relationship with a member of the other population. The individual choice is determined by the quality of the partner. Initially the quality of individuals in the population is uniform. At every stage the individuals randomly matched from their populations recognize the quality of the partner. If they accept each other they create a couple and leave the game. The partner's quality is the payoff. Unmatched players go to the next stage. At the last stage the individuals accept any partner. Each player aims to maximize her/his expected payoff. In this paper explicit formulas for Nash equilibrium strategies are derived. Also, the model with incoming individuals is analyzed.

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Publisher Info
Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 10 (2008)
Issue (Month): 04 ()
Pages: 421-435
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Handle: RePEc:wsi:igtrxx:v:10:y:2008:i:04:p:421-435

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Related research
Keywords: Best-choice problem; mutual choice; multistage game; optimal strategy; Nash equilibrium; Subject Classification: 91A60; Subject Classification: 60G40; Subject Classification: 91A20;

Find related papers by JEL classification:
B4 - Schools of Economic Thought and Methodology - - Economic Methodology
C0 - Mathematical and Quantitative Methods - - General
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D5 - Microeconomics - - General Equilibrium and Disequilibrium
D7 - Microeconomics - - Analysis of Collective Decision-Making
M2 - Business Administration and Business Economics; Marketing; Accounting - - Business Economics

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