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Dynamic recontracting processes with multiple indivisible goods

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  • Bochet, O.L.A.

    (Microeconomics & Public Economics)

  • Klaus, B.E.

    (Microeconomics & Public Economics)

  • Walzl, M.

    (Microeconomics & Public Economics)

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.
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Suggested Citation

  • Bochet, O.L.A. & Klaus, B.E. & Walzl, M., 2007. "Dynamic recontracting processes with multiple indivisible goods," Research Memorandum 018, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  • Handle: RePEc:unm:umamet:2007018
    DOI: 10.26481/umamet.2007018
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    References listed on IDEAS

    as
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    3. BOCHET, Olivier & KLAUS, Bettina & WALZL, Markus, 2007. "Dynamic recontracting processes with multiple indivisible goods," LIDAM Discussion Papers CORE 2007061, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. BOCHET, Olivier & KLAUS, Bettina & WALZL, Markus, 2007. "Dynamic recontracting processes with multiple indivisible goods," LIDAM Discussion Papers CORE 2007061, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Klaus, Bettina & Klijn, Flip & Walzl, Markus, 2010. "Stochastic stability for roommate markets," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2218-2240, November.

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    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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