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Top Trading Cycles, Consistency, and Acyclic Priorities for House Allocation with Existing Tenants

Author

Listed:
  • Mehmet Karakaya
  • Bettina Klaus
  • Jan Christoph Schlegel

Abstract

We study the house allocation with existing tenants model (introduced by Abdulkadiroglu and Sonmez, 1999) and consider rules that allocate houses based on priorities. We introduce a new acyclicity requirement for the underlying priority structure which is based on the acyclicity conditions by Ergin (2002) and Kesten (2006) for house allocation with quotas and without existing tenants. We show that for house allocation with existing tenants a top trading cycles rules is consistent if and only if its underlying priority structure satisfies our acyclicity condition. Moreover, even if no priority structure is a priori given, we show that a rule is a top trading cycles rule based on ownership adapted acyclic priorities if and only if it satisfies Pareto-optimality, individual-rationality, strategy-proofness, reallocation-proofness, and consistency.

Suggested Citation

  • Mehmet Karakaya & Bettina Klaus & Jan Christoph Schlegel, 2017. "Top Trading Cycles, Consistency, and Acyclic Priorities for House Allocation with Existing Tenants," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 17.12, Université de Lausanne, Faculté des HEC, DEEP.
  • Handle: RePEc:lau:crdeep:17.12
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    File URL: http://hec.unil.ch/attachments/deep/series/2016/17.12.pdf
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    References listed on IDEAS

    as
    1. Onur Kesten, 2009. "Coalitional strategy-proofness and resource monotonicity for house allocation problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 17-21, March.
    2. Roth, Alvin E. & Postlewaite, Andrew, 1977. "Weak versus strong domination in a market with indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 131-137, August.
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    More about this item

    Keywords

    consistency; house allocation; matching; strategy-proofness; top trading cycles;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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