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Title: A Discrete-Time Stochastic Model of Job Matching

Author(s): Anthony A. Smith Jr and Yves Zenou

Publication Date: November 2001

Keyword(s): large population approximation, matching function and optimal search intensity

Programme Area(s): Labour Economics

Abstract: In this Paper, an explicit micro scenario is developed which yields a well-defined aggregate job-matching function. In particular, a stochastic model of job-matching behaviour is constructed in which the system steady state is shown to be approximated by an exponential-type matching function, as the population becomes large. This steady-state approximation is first derived for fixed levels of both wages and search intensities, where it is shown (without using a free-entry condition) that there exists a unique equilibrium. It is then shown that if job searchers are allowed to choose their search intensities optimally, then this model is again consistent with a unique steady state. Finally, the assumption of a fixed wage is relaxed, and an optimal ?offer wage? is derived for employers.

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Bibliographic Reference

Smith Jr, A and Zenou, Y. 2001. 'A Discrete-Time Stochastic Model of Job Matching'. London, Centre for Economic Policy Research. https://cepr.org/active/publications/discussion_papers/dp.php?dpno=3044