We study the steady state of a market with incoming cohorts of buyers and sellers who are matched pairwise and bargain under private information. We first consider generalized random-proposer take-it-or-leave-it offer games (GRP TIOLI games). This class of games includes a simple random-proposer TIOLI game, but also many other interesting bargaining games. A friction parameter is tau, the length of the time period until the next meeting. We find that as tau (right arrow) 0, all market equilibria converge to the Walrasian limit, at the fastest possible rate Omicron (tau) among all bargaining mechanisms. Some important bargaining games not in this class may have non-convergent market equilibria. This is the case for the k-double auction: we find that there are equilibria that converge at a linear rate, those that converge at a slower rate or even not converge at all.
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number
1467.
Length: Date of creation: Aug 2008 Date of revision: Handle: RePEc:nwu:cmsems:1467
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Find related papers by JEL classification: C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
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