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Decentralized trade, random utility and the evolution of social welfare
Authors:Michihiro Kandori   Roberto Serrano  Oscar Volij  
Affiliation:aFaculty of Economics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan;bBrown University, USA;cIowa State University, USA;dBen-Gurion University of the Negev, Israel;eIMDEA-Social Sciences, Spain
Abstract:We study decentralized trade processes in general exchange economies and house allocation problems with and without money. The processes are affected by persistent random shocks stemming from agents’ maximization of random utility. By imposing structure on the utility noise term—logit distribution—one is able to calculate exactly the stationary distribution of the perturbed Markov process for any level of noise. We show that the stationary distribution places the largest probability on the maximizers of weighted sums of the agents’ (intrinsic) utilities, and this probability tends to 1 as noise vanishes.
Keywords:Decentralized trade   Exchange economies   Housing markets   Long-run stochastic stability   Logit model   Social welfare functions
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