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Smooth Multibidding Mechanisms

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Listed:
  • David Pérez-Castrillo
  • Nicolas Quérou

Abstract

We propose a smooth multibidding mechanism for environments where a group of agents have to choose one out of several projects. Our proposal is related to the multibidding mechanism (Pérez-Castrillo and Wettstein, 2002) but it is “smoother” in the sense that small variations in an agent’s bids do not lead to dramatic changes in the probability of selecting a project. This mechanism is shown to possess several interesting properties. First, the equilibrium outcome is unique. Second, it ensures an equal sharing of the surplus that it induces. Finally, it enables reaching an outcome as close to efficiency as is desired.

Suggested Citation

  • David Pérez-Castrillo & Nicolas Quérou, 2011. "Smooth Multibidding Mechanisms," CESifo Working Paper Series 3394, CESifo.
    • Handle: RePEc:ces:ceswps:_3394
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    References listed on IDEAS

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    1. Jackson, Matthew & Moulin, Hervé, 1992. "Implementing a public project and distributing its cost," Journal of Economic Theory, Elsevier, vol. 57(1), pages 125-140.
    2. Laurent-Lucchetti, Jérémy & Leroux, Justin, 2011. "Choosing and sharing," Games and Economic Behavior, Elsevier, vol. 73(1), pages 296-300, September.
    3. Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October.
    4. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
    5. Nicolás Porteiro, 2007. "An Efficient and Egalitarian Negotiation Procedure for Economies with Externalities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 19-40, January.
    6. Yuan Ju & David Wettstein, 2009. "Implementing cooperative solution concepts: a generalized bidding approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 307-330, May.
    7. David Pérez-Castrillo & David Wettstein, 2002. "Choosing Wisely: A Multibidding Approach," American Economic Review, American Economic Association, vol. 92(5), pages 1577-1587, December.
    8. Minehart, Deborah & Neeman, Zvika, 2002. "Effective Siting of Waste Treatment Facilities," Journal of Environmental Economics and Management, Elsevier, vol. 43(2), pages 303-324, March.
    9. Kunreuther, Howard & Kleindorfer, Paul R, 1986. "A Sealed-Bid Auction Mechanism for Siting Noxious Facilities," American Economic Review, American Economic Association, vol. 76(2), pages 295-299, May.
    10. Rob, Rafael, 1989. "Pollution claim settlements under private information," Journal of Economic Theory, Elsevier, vol. 47(2), pages 307-333, April.
    11. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1996. "How (Not) to Sell Nuclear Weapons," American Economic Review, American Economic Association, vol. 86(4), pages 814-829, September.
    12. Róbert Veszteg, 2010. "Multibidding game under uncertainty," Review of Economic Design, Springer;Society for Economic Design, vol. 14(3), pages 311-329, September.
    13. Lars Ehlers, 2009. "Choosing wisely: the natural multi-bidding mechanism," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 505-512, June.
    14. Perry, Motty & Reny, Philip J., 1999. "A General Solution to King Solomon's Dilemma," Games and Economic Behavior, Elsevier, vol. 26(2), pages 279-285, January.
    15. Preston McAfee, R., 1992. "Amicable divorce: Dissolving a partnership with simple mechanisms," Journal of Economic Theory, Elsevier, vol. 56(2), pages 266-293, April.
    16. Ingberman Daniel E., 1995. "Siting Noxious Facilities: Are Markets Efficient?," Journal of Environmental Economics and Management, Elsevier, vol. 29(3), pages 20-33, November.
    17. Yuan Ju & Peter Borm & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(4), pages 685-703, June.
    18. Kamijo, Yoshio, 2008. "Implementation of weighted values in hierarchical and horizontal cooperation structures," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 336-349, November.
    19. Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
    20. Glazer, Jacob & Ma, Ching-To Albert, 1989. "Efficient allocation of a "prize"-King Solomon's dilemma," Games and Economic Behavior, Elsevier, vol. 1(3), pages 222-233, September.
    21. O'Sullivan Arthur, 1993. "Voluntary Auctions for Noxious Facilities: Incentives to Participate and the Efficiency of Siting Decisions," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 12-26, July.
    22. David Perez-Castrillo & Robert F. Veszteg, 2005. "Experimental Evidence on the Multibidding Mechanism," UFAE and IAE Working Papers 638.05, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    23. Yuan Ju & Peter Borm & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(4), pages 685-703, June.
    24. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2006. "Efficient bidding with externalities," Games and Economic Behavior, Elsevier, vol. 57(2), pages 304-320, November.
    25. Yuan Ju & David Wettstein, 2009. "Implementing cooperative solution concepts: a generalized bidding approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 307-330, May.
    26. Varian, Hal R, 1994. "A Solution to the Problem of Externalities When Agents Are Well-Informed," American Economic Review, American Economic Association, vol. 84(5), pages 1278-1293, December.
    27. Varian, Hal R., 1994. "Sequential contributions to public goods," Journal of Public Economics, Elsevier, vol. 53(2), pages 165-186, February.
    28. Bergantiños, Gustavo & Vidal-Puga, Juan, 2010. "Realizing fair outcomes in minimum cost spanning tree problems through non-cooperative mechanisms," European Journal of Operational Research, Elsevier, vol. 201(3), pages 811-820, March.
    29. H. Moulin, 1984. "The Conditional Auction Mechanism for Sharing a Surplus," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(1), pages 157-170.
    30. Perry, Motty & Reny, Philip J., 1999. "A General Solution to King Solomon's Dilemma," Games and Economic Behavior, Elsevier, vol. 26(2), pages 279-285, January.
    31. Perez-Castrillo, David & Veszteg, Robert F., 2007. "Choosing a common project: Experimental evidence on the multibidding mechanism," Journal of Economic Behavior & Organization, Elsevier, vol. 63(3), pages 394-411, July.
    32. Perez-Castrillo, D. & Wettstein, D., 1999. "Bidding for the Surplus: a Non-Cooperative Approach to the Shapley Value. ation," Papers 24-99, Tel Aviv.
    33. Slikker, Marco, 2007. "Bidding for surplus in network allocation problems," Journal of Economic Theory, Elsevier, vol. 137(1), pages 493-511, November.
    34. Abreu, Dilip & Sen, Arunava, 1991. "Virtual Implementation in Nash Equilibrium," Econometrica, Econometric Society, vol. 59(4), pages 997-1021, July.
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    More about this item

    Keywords

    mechanism design; NIMBY;

    JEL classification:

    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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