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Monotonicity and Envyfree Assignments

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  • Alkan, Ahmet

Abstract

Given any problem involving assignment of indivisible objects and a sum of money among individuals, there is an efficient envy-free allocation (namely the minmax money allocation) which can be extended monotonically to a new efficient envyfree allocation for any object added or individual removed, and another (the maximin value allocation) extendable similarly for any object removed or person added. Still, the efficient envyfree solution is largely incompatible with the resource and population monotonicity axioms: The minmax money and maxmin value allocations are unique in being extendable.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 4 (1994)
Issue (Month): 4 (May)
Pages: 605-16

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Handle: RePEc:spr:joecth:v:4:y:1994:i:4:p:605-16

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Cited by:
  1. Maniquet, François, 2008. "Social orderings for the assignment of indivisible objects," Journal of Economic Theory, Elsevier, vol. 143(1), pages 199-215, November.
  2. Yengin, Duygu, 2013. "Population monotonic and strategy-proof mechanisms respecting welfare lower bounds," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 389-397.
  3. Bevia, Carmen, 1996. "Population monotonicity in economies with one indivisible good," Mathematical Social Sciences, Elsevier, vol. 32(2), pages 125-137, October.
  4. Lars Ehlers & Bettina Klaus, 2003. "Resource-Monotonicity for House Allocation," Working Papers 33, Barcelona Graduate School of Economics.
  5. Bevia, Carmen, 1996. "Population monotonicity in a general model with indivisible goods," Economics Letters, Elsevier, vol. 50(1), pages 91-97, January.
  6. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, Elsevier, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506 Elsevier.
  7. Velez, Rodrigo A., 2011. "Are incentives against economic justice?," Journal of Economic Theory, Elsevier, vol. 146(1), pages 326-345, January.

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