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758.2
A Marriage Market Model for Clarifying Factors Contributing to Declining Marriage Rates: A Consideration of the Two-Sex Problem

Given this two-sex problem, this paper aims to construct a simple model based on the marriage market theory proposed by Becker (1973). Let *Nf* and *Nm* represent the unmarried populations of women and men, respectively, with *y* as the number of marriages. By letting *Sf* and *Sm* represent the benefit gained by women and men, respectively, who opt to remain single, and *M* as the benefit gained by men and women who marry, the marriage supply curves of women and men can be respectively represented by *y = Nf*{*−exp*(*−x + Sf*)* + *1} and *y = Nm*{*−exp*(*x + Sm − M*)* + *1}. Therefore, *M −* (*Sf + Sm*) *= log*[*NfNm/*{(*Nf − y*)(*Nm − y*)}]．The right-hand side represents the “tendency towards first marriage” controlled by the population size of both men and women. A multivariate analysis based on this equation will help us clarify the true factors contributing to the decline in the marriage rate.