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AbstractIn a product choice game played between a long lived seller and an in…nite sequence of buyers, we assume that buyers cannot observe past signals. To facilitate the analysis of applications such as online auctions (e.g. eBay), online shopping search engines (e.g. BizRate.com) and consumer reports, we assume that a central mechanism observes all past signals, and makes public announcements every period. The set of announcements and the mapping from observed signals to the set of announcements is called a rating system. We show that, absent reputation e¤ects, information censoring cannot improve attainable payo¤s. However, if there is an initial probability that the seller is a commitment type that plays a particular strategy every period, then there exists a …nite rating system and an equilibrium of the resulting game such that, the expected present discounted payo¤ of the seller is almost his Stackelberg payo¤ after every history. This is in contrast to Cripps, Mailath and Samuelson (2004), where it is shown that reputation e¤ects do not last forever in such games if buyers can observe all past signals. We also construct …nite rating systems that increase payo¤s of almost all buyers, while decreasing the seller's payo¤.
Abstract.In a two-sided search market agents are paired to bargain over a unit surplus. The matching market serves as an endogenous outside option for agents in a bargaining relationship. Behavioral agents are (strategically inflexible) commitment types that demand a constant portion of the unit surplus. The steady state frequency of behavioral types in the market is determined in equilibrium. We show, even if behavioral types are negligible, they substantially effect the terms of trade and efficiency. In an unbalanced market where the entering flow of one side is short, bargaining follows equilibrium play in a bargaining game with one-sided reputation, the terms of trade are determined by the commitment types on the short side, and commitment types improve efficiency. In a balanced market where the entering flows of the two sides are equal, bargaining follows equilibrium play in a bargaining game with two-sided reputation and commitment types cause inefficiency. An inefficient equilibrium with persistent delays and break-ups is constructed. The magnitude of inefficiency is determined by the inflexible demands of the commitment types and is independent of the fraction of the commitment types entering the market.
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