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The unique equilibrium solution to a game in which a continuum of individual employers choose permanent wage offers and a continuum of workers search by sequentially sampling from the set of offers is characterized. Wage dispersion is a robust outcome provided that workers search while employed as well as when unemployed. The unique nondegenerate equilibrium distribution of wage offers is constructed for three cases: (i) identical workers and employers, (ii) identical employers and an atomless distribution of worker supply prices, and (iii) identical workers and an atomless distribution of job productivities.
Suppose that n buyers each want one unit and m sellers each have one or more units of a good. Sellers post prices, and then buyers choose sellers. In symmetric equilibrium, similar sellers all post one price, and buyers randomize. Hence, more or fewer buyers may arrive than a seller can accommodate. We call this frictions. We solve for prices and the endogenous matching function for finite n and m and consider the limit as n and m grow. The matching function displays decreasing returns but converges to constant returns. We argue that the standard matching function in the literature is misspecified and discuss implications for the Beveridge curve.We have benefited from the input of many people at many conferences and workshops, including
We would like to thank an anonymous referee, Patricia Dillon, Lones Smith, Randall Wright, and Dale Mortensen for more than helpful comments. Of course, we are responsible for remaining errors.᭧ 1997 by the President and Fellows of Harvard College and the Massachusetts Institute of Technology.
In this study we consider a labor market matching model where firms post wagetenure contracts and workers, both employed and unemployed, search for new job opportunities. Given workers are risk averse, we establish there is a unique equilibrium in the environment considered. Although firms in the market make different offers in equilibrium, all post a wage-tenure contract that implies a worker's wage increases smoothly with tenure at the firm. As firms make different offers, there is job turnover, as employed workers move jobs as the opportunity arises. This implies the increase in a worker's wage can be due to job-to-job movements as well as wage-tenure effects. Further, there is a nondegenerate equilibrium distribution of initial wage offers that is differentiable on its support except for a mass point at the lowest initial wage. We also show that relevant characteristics of the equilibrium can be written as explicit functions of preferences and the other market parameters.
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