This paper extends the bargaining and matching literature, such as Rubinstein and Wolinsky (1985), by considering a new matching process. We assume that a central information agency exists, such as real estate agencies in the housing market and employment agencies (or newspapers) in the labour market, which puts traders into direct contact with each other. With heterogeneity of trader preferences, equilibrium trade is characterized by existing traders on each side of the market trying to match with the flow of new traders on the other side (since existing traders have already sampled and rejected each other). Two procedures of trade co-exist, namely a strategic bilateral bargaining process and a competitive bidding process, depending on the number of potential matches a new trader obtains. We characterize the unique symmetric Markov perfect equilibrium to this stochastic trading game.

This paper considers equilibrium quit turnover in a frictional labor market with costly hiring by firms, where large firms employ many workers and face both aggregate and firm specific productivity shocks. There is exogenous firm turnover as new (small) startups enter the market over time, while some existing firms fail and exit. Individual firm growth rates are disperse and evolve stochastically. The paper highlights how dynamic monopsony, where firms trade off lower wages against higher (endogenous) employee quit rates, yields excessive job-to-job quits. Such quits directly crowd out the reemployment prospects of the unemployed. With finite firm productivity states, stochastic equilibrium is fully tractable and can be computed using standard numerical techniques.

This paper analyses a strategic bargaining game where the firm may or may not be able to sell out of its inventory of finished goods during a strike. Firms and the union are both risk neutral and have the same discount rate. It is shown that the wage equilibrium corresponds to the axiomatic Nash bargaining solution where the threatpoints are the agents' payoffs should bargaining continue indefinitely. We use the 1980 and 1982 Employment Acts to test this theory, interpreting that legislation change as changing the firm's threatpoint but not its bargaining power. This allows us to identify the value of the firm's threatpoint post-1982. Formal tests support the theory. Also consistent with the theory, it is found that union wages decrease with inventories after 1982, but not before, and that the union wage gap is smaller after 1982.

This paper considers equilibrium two-sided search with ex ante heterogeneous agents, vectors of attributes, and idiosyncratic match draws. The analysis applies to a large class of models, from the nontransferable utility case to the collective household model with bargaining, for which transferable utility is a special case. The approach is powerful for it identifies a simple algorithm that, in our numerical application, is found to rapidly converge to equilibrium. Our application explores the impact of equal opportunities for women in the labor market on female match incentives and the timing of marriage.