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Group Strategyproof Cost Sharing: The Role of Indifferences

  • Ruben Juarez

    ()

    (Department of Economics, University of Hawaii at Manoa)

Every agent reports his willingness to pay for one unit of good. A mechanism allocates goods and cost shares to some agents. We characterize the group strategyproof (GSP) mechanisms under two alternative continuity conditions interpreted as tie-breaking rules. With the maximalist rule (MAX) an indi erent agent is always served. With the minimalist rule (MIN) an indi erent agent does not get a unit of good. GSP and MAX characterize the cross-monotonic mechanisms. These mechanisms are appropriate whenever symmetry is required. On the other hand, GSP andMIN characterize the sequential mechanisms. These mechanisms are appropriate whenever there is scarcity of the good. Our results are independent of an underlying cost function; they unify and strengthen earlier results for particular classes of cost functions.

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File URL: http://www.economics.hawaii.edu/research/workingpapers/WP_12-2.pdf
File Function: First version, 2012
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Paper provided by University of Hawaii at Manoa, Department of Economics in its series Working Papers with number 201202.

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Length: 36 pages
Date of creation: 01 Feb 2012
Date of revision:
Handle: RePEc:hai:wpaper:201202
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  1. Schummer, James, 2000. "Manipulation through Bribes," Journal of Economic Theory, Elsevier, vol. 91(2), pages 180-198, April.
  2. Mehta, Aranyak & Roughgarden, Tim & Sundararajan, Mukund, 2009. "Beyond Moulin mechanisms," Games and Economic Behavior, Elsevier, vol. 67(1), pages 125-155, September.
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  11. Deb, Rajat & Razzolini, Laura, 1999. "Voluntary cost sharing for an excludable public project," Mathematical Social Sciences, Elsevier, vol. 37(2), pages 123-138, March.
  12. Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-35, May.
  13. Mutuswami, Suresh, 2005. "Strategyproofness, Non-Bossiness and Group Strategyproofness in a cost sharing model," Economics Letters, Elsevier, vol. 89(1), pages 83-88, October.
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  16. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
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