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Weakly Fair Allocations and Strategy-Proofness

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Author Info
Andersson, Tommy () (Department of Economics, Lund University)
Svensson, Lars-Gunnar () (Department of Economics, Lund University)

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Abstract

This paper investigates the problem of allocating two types of indivisible objects among a group of agents when a priority-order must be respected and when only restricted monetary transfers are allowed. Since the existence of a fair allocation not generally is guaranteed due the the restrictions on the money transfers, the concept of fairness is weakened, and a new concept of fairness is introduced. This concept is called weak fairness. We define an allocation rule that implements weakly fair allocations and demonstrate that it is coalitionally strategy-proof. In fact, it is the only coalitionally strategy-proof allocation rule that implements a weakly fair allocation.

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Publisher Info
Paper provided by Lund University, Department of Economics in its series Working Papers with number 2007:3.

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Length: 26 pages
Date of creation: 21 Feb 2007
Date of revision: 03 Jul 2007
Publication status: Forthcoming in Review of Economic Design.
Handle: RePEc:hhs:lunewp:2007_003

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Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund,Sweden
Phone: +46 +46 222 0000
Fax: +46 +46 2224613
Web page: http://www.nek.lu.se/
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Related research
Keywords: Indivisibles; fairness; weak fairness; strategy-proofness;

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy-Making and Implementation

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  1. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-88, July. [Downloadable!] (restricted)
  2. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March. [Downloadable!] (restricted)
  3. Sun, Ning & Yang, Zaifu, 2003. "A general strategy proof fair allocation mechanism," Economics Letters, Elsevier, vol. 81(1), pages 73-79, October. [Downloadable!] (restricted)
  4. Shinji Ohseto, 2006. "Characterizations of strategy-proof and fair mechanisms for allocating indivisible goods," Economic Theory, Springer, vol. 29(1), pages 111-121, September. [Downloadable!] (restricted)
  5. Lars-Gunnar Svensson, 1999. "Strategy-proof allocation of indivisible goods," Social Choice and Welfare, Springer, vol. 16(4), pages 557-567. [Downloadable!] (restricted)
  6. Svensson, Lars-Gunnar, 2006. "Coalition Strategy-Proofness and Fairness," Working Papers 2006:10, Lund University, Department of Economics.
  7. Svensson, Lars-Gunnar, 1983. "Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness," Econometrica, Econometric Society, vol. 51(4), pages 939-54, July. [Downloadable!] (restricted)
  8. Ehlers, Lars, 2002. "Coalitional Strategy-Proof House Allocation," Journal of Economic Theory, Elsevier, vol. 105(2), pages 298-317, August. [Downloadable!] (restricted)
  9. Svensson, Lars-Gunnar, 2004. "Strategy-Proof and Fair Wages," Working Papers 2004:8, Lund University, Department of Economics. [Downloadable!]
  10. 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. [Downloadable!] (restricted)
  11. Diamantaras, D. & Thomson, W., 1988. "A Refinement And Extension Of The No-Envy Concept," RCER Working Papers 133, University of Rochester - Center for Economic Research (RCER).
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  12. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January. [Downloadable!] (restricted)
  13. Tadenuma, Koichi & Thomson, William, 1991. "No-Envy and Consistency in Economies with Indivisible Goods," Econometrica, Econometric Society, vol. 59(6), pages 1755-67, November. [Downloadable!] (restricted)
  14. Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October. [Downloadable!] (restricted)
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