Dynamic recontracting processes with multiple indivisible goods
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.
|Date of creation:||01 Aug 2007|
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- BOCHET, Olivier & KLAUS, Bettina & WALZL, Markus, 2007.
"Dynamic recontracting processes with multiple indivisible goods,"
CORE Discussion Papers
2007061, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Bochet Olivier & Klaus Bettina & Walzl Markus, 2007. "Dynamic Recontracting processes with Multiple Indivisible Goods," Research Memorandum 018, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
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