A Model of Two-Way Selection System for Human Behavior

TL;DR

This paper introduces a mathematical model for two-way selection systems like matchmaking and job markets, providing analytical solutions and validating predictions with empirical data to understand their dynamics.

Contribution

The paper presents a novel analytical model for two-way selection processes and verifies its effectiveness with real-world empirical data.

Findings

Matching rate inversely proportional to ratio of two sides

Model accurately predicts real-world matchmaking behavior

Provides insights into the dynamics of two-way selection systems

Abstract

We propose a model of two-way selection system. It appears in the processes like choosing a mate between men and women, making contracts between job hunters and recruiters, and trading between buyers and sellers. In this paper, we propose a model of two-way selection system, and present its analytic solution for the expectation of successful matching total and the regular pattern that the matching rate trends toward an inverse proportion to either the ratio between the two sides or the ratio of the state total to the smaller people number. The proposed model is verified by empirical data of the matchmaking fairs. Results indicate that the model well predicts this typical real-world two- way selection behavior to the bounded error extent, thus it is helpful for understanding the dynamics mechanism of the real-world two-way selection system.