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Resource-monotonicity for house allocation problems

Author

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  • Lars Ehlers

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  • Bettina Klaus

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Abstract

We study a simple model of assigning indivisible objects (e.g., houses, jobs, offices, etc.) to agents. Each agent receives at most one object and monetary compensations are not possible. We completely describe all rules satisfying efficiency, independence of irrelevant objects, and resource-monotonicity. The characterized rules assign the objects in a sequence of steps such that at each step there is either a dictator or two agents “trade” objects from their hierarchically specified “endowments.” Copyright Springer-Verlag 2004

Suggested Citation

  • Lars Ehlers & Bettina Klaus, 2004. "Resource-monotonicity for house allocation problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(4), pages 545-560, August.
  • Handle: RePEc:spr:jogath:v:32:y:2004:i:4:p:545-560 DOI: 10.1007/s001820400177
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    References listed on IDEAS

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    1. Lars Ehlers & Bettina Klaus, 2003. "Coalitional strategy-proof and resource-monotonic solutions for multiple assignment problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 265-280, October.
    2. Lars Ehlers & Bettina Klaus, 2007. "Consistent House Allocation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 561-574.
    3. Jean-Marie Dufour, 2003. "Identification, weak instruments, and statistical inference in econometrics," Canadian Journal of Economics, Canadian Economics Association, pages 767-808.
    4. Moulin, Herve & Thomson, William, 1988. "Can everyone benefit from growth? : Two difficulties," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 339-345, September.
    5. Ehlers, Lars & Klaus, Bettina & Papai, Szilvia, 2002. "Strategy-proofness and population-monotonicity for house allocation problems," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 329-339, November.
    6. Atila Abdulkadiroglu & Tayfun Sonmez, 1998. "Random Serial Dictatorship and the Core from Random Endowments in House Allocation Problems," Econometrica, Econometric Society, vol. 66(3), pages 689-702, May.
    7. Ehlers, Lars & Klaus, Bettina, 2006. "Efficient priority rules," Games and Economic Behavior, Elsevier, vol. 55(2), pages 372-384, May.
    8. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
    9. Toru Hokari, 2000. "note: The nucleolus is not aggregate-monotonic on the domain of convex games," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(1), pages 133-137.
    10. Dufour, Jean-Marie & Farhat, Abdeljelil & Khalaf, Lynda & Dufour, Jean-Marie, 2004. "Tests multiples simulés et tests de normalité basés sur plusieurs moments dans les modèles de régression," L'Actualité Economique, Société Canadienne de Science Economique, vol. 80(2), pages 501-522, Juin-Sept.
    11. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October.
    12. Lars Ehlers & Bettina Klaus, 2007. "Consistent House Allocation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 561-574.
    13. Ergin, Haluk I., 2000. "Consistency in house allocation problems," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 77-97, August.
    14. Chun, Youngsub & Thomson, William, 1988. "Monotonicity properties of bargaining solutions when applied to economics," Mathematical Social Sciences, Elsevier, vol. 15(1), pages 11-27, February.
    15. Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
    16. Maniquet, Francois & Sprumont, Yves, 2000. "On resource monotonicity in the fair division problem," Economics Letters, Elsevier, vol. 68(3), pages 299-302, September.
    17. Ehlers, Lars, 2002. "Coalitional Strategy-Proof House Allocation," Journal of Economic Theory, Elsevier, vol. 105(2), pages 298-317, August.
    18. Lars Ehlers, 2002. "Resource-monotonic allocation when preferences are single-peaked," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 113-131.
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    More about this item

    Keywords

    D63; D70; Indivisible objects; Resource-monotonicity;

    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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