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Resource-Monotonicity for House Allocation

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Author Info

  • Lars Ehlers
  • Bettina Klaus

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."

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Bibliographic Info

Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 33.

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Date of creation: Mar 2003
Date of revision:
Handle: RePEc:bge:wpaper:33

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Related research

Keywords: Indivisible objects; resource-monotonicity;

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References

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  1. 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.
  2. 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.
  3. Ergin, Haluk I., 2000. "Consistency in house allocation problems," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 77-97, August.
  4. Alkan, Ahmet, 1994. "Monotonicity and Envyfree Assignments," Economic Theory, Springer, vol. 4(4), pages 605-16, May.
  5. Papai, S., 1998. "Strategyproof Single Unit Award Rules," Papers 1998/02, Koc University.
  6. Lars Ehlers & Bettina Klaus, 2007. "Consistent House Allocation," Economic Theory, Springer, vol. 30(3), pages 561-574, March.
  7. Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
  8. Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-39, July.
  9. Moulin, Herve, 1992. "An Application of the Shapley Value to Fair Division with Money," Econometrica, Econometric Society, vol. 60(6), pages 1331-49, November.
  10. Ehlers, Lars, 2002. "Coalitional Strategy-Proof House Allocation," Journal of Economic Theory, Elsevier, vol. 105(2), pages 298-317, August.
  11. Lars-Gunnar Svensson, 1999. "Strategy-proof allocation of indivisible goods," Social Choice and Welfare, Springer, vol. 16(4), pages 557-567.
  12. 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.
  13. Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
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Citations

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Cited by:
  1. EHLERS, Lars & KLAUS, Bettina, 2009. "Allocation via Deferred-Acceptance under Responsive Priorities," Cahiers de recherche 17-2009, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  2. EHLERS, Lars & KLAUS, Bettina, 2005. "Consistent House Allocation," Cahiers de recherche 08-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  3. Bettina Klaus & Flip Klijn, 2011. "Local and Global Consistency Properties for Student Placement," UFAE and IAE Working Papers 866.11, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  4. EHLERS, Lars & KLAUS, Bettina, 2003. "Efficient Priority Rules," Cahiers de recherche 11-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  5. Bettina Klaus & Flip Klijn, 2007. "Fair and efficient student placement with couples," International Journal of Game Theory, Springer, vol. 36(2), pages 177-207, October.

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