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Dynamic Recontracting processes with Multiple Indivisible Goods

Olivier Bochet (), Bettina Klaus () and Markus Walzl ()

No 18, Research Memoranda from Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization

Abstract: We consider multiple-type housing markets. To capture the dynamic aspect of trade in such markets, we study a dynamic recontracting process similar to the one introduced by Serrano and Volij (2005). First, we analyze the set of recurrent classes of this process as a (non-empty) solution concept. We show that each core allocation always constitutes a singleton recurrent class and provide examples of non-singleton recurrent classes consisting of blocking-cycles of individually rational allocations. For multiple-type housing markets stochastic stability never serves as a selection device among recurrent classes. Next, we propose a method to compute the limit invariant distribution of the dynamic recontracting process. The limit invariant distribution exploits the interplay of coalitional stability and accessibility that determines a probability distribution over final allocations. We provide various examples to demonstrate how the limit invariant distribution discriminates among stochastically stable allocations: surprisingly, some core allocations are less likely to be final allocations of the dynamic process than cycles composed of non-core allocations.

Keywords: microeconomics (search for similar items in EconPapers)
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Working Paper: Dynamic recontracting processes with multiple indivisible goods (2007) Downloads
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