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Smooth multibidding mechanisms

  • David Pérez-Castrillo

    ()

  • Nicolas Quérou

    ()

We propose a smooth multibidding mechanism for environments where a group of agents have to choose one out of several projects (possibly with the help of a social planner). 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. Unlike in the study by Pérez Castrillo and Wettstein (2002), 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 effciency as is desired.

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Paper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 849.10.

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Length: 35
Date of creation: 05 Nov 2010
Date of revision:
Handle: RePEc:aub:autbar:849.10
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  1. Perry, M. & Reny, P.J., 1995. "A General Solution to King Solomon's Dilemma," Papers 9581, Tilburg - Center for Economic Research.
  2. David Pérez-Castrillo & Róbert F. Veszteg, 2005. "Experimental Evidence on the Multibidding Mechanism," Working Papers 155, Barcelona Graduate School of Economics.
  3. Abreu, Dilip & Sen, Arunava, 1991. "Virtual Implementation in Nash Equilibrium," Econometrica, Econometric Society, vol. 59(4), pages 997-1021, July.
  4. Kamijo, Yoshio, 2008. "Implementation of weighted values in hierarchical and horizontal cooperation structures," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 336-349, November.
  5. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1996. "How (Not) to Sell Nuclear Weapons," American Economic Review, American Economic Association, vol. 86(4), pages 814-29, September.
  6. Yuan Ju & Peter Borm & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer, vol. 28(4), pages 685-703, June.
  7. David Pérez-Castrillo & David Wettstein, . "Bidding For The Surplus: A Non-Cooperative Approach To The Shapley Value," UFAE and IAE Working Papers 461.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  8. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
  9. Ingberman Daniel E., 1995. "Siting Noxious Facilities: Are Markets Efficient?," Journal of Environmental Economics and Management, Elsevier, vol. 29(3), pages S20-S33, November.
  10. Jérémy Laurent-Lucchetti & Justin Leroux, 2007. "Choosing and Sharing," Cahiers de recherche 07-13, HEC Montréal, Institut d'économie appliquée.
  11. Rob, R., 1988. "Pollution Claim Settlements Under Private Information," Papers 19-88, Tel Aviv.
  12. Inés Macho & David Pérez-Castrillo & David Wettstein, 2005. "Efficient Bidding with Externalitites," Working Papers 159, Barcelona Graduate School of Economics.
  13. Róbert Veszteg, 2010. "Multibidding game under uncertainty," Review of Economic Design, Springer, vol. 14(3), pages 311-329, September.
  14. Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
  15. 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.
  16. 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 295-99, May.
  17. Hal R. Varian, 1994. "A Solution to the Problem of Externalities when Agents are Well-Informed}," Microeconomics 9401003, EconWPA.
  18. 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 S12-S26, July.
  19. David P�rez-Castrillo & David Wettstein, 2002. "Choosing Wisely: A Multibidding Approach," American Economic Review, American Economic Association, vol. 92(5), pages 1577-1587, December.
  20. Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2007. "The consensus value : A new solution concept for cooperative games," Other publications TiSEM 6cd44a12-a909-47f8-8d85-e, School of Economics and Management.
  21. 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.
  22. Yuan Ju & David Wettstein, 2009. "Implementing cooperative solution concepts: a generalized bidding approach," Economic Theory, Springer, vol. 39(2), pages 307-330, May.
  23. Lars Ehlers, 2009. "Choosing wisely: the natural multi-bidding mechanism," Economic Theory, Springer, vol. 39(3), pages 505-512, June.
  24. Nicolás Porteiro, 2007. "An Efficient and Egalitarian Negotiation Procedure for Economies with Externalities," Social Choice and Welfare, Springer, vol. 28(1), pages 19-40, January.
  25. Slikker, Marco, 2007. "Bidding for surplus in network allocation problems," Journal of Economic Theory, Elsevier, vol. 137(1), pages 493-511, November.
  26. Preston McAfee, R., 1992. "Amicable divorce: Dissolving a partnership with simple mechanisms," Journal of Economic Theory, Elsevier, vol. 56(2), pages 266-293, April.
  27. 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.
  28. repec:ner:tilbur:urn:nbn:nl:ui:12-195202 is not listed on IDEAS
  29. Perez-Castrillo, D. & Wettstein, D., 1999. "Bidding for the Surplus: a Non-Cooperative Approach to the Shapley Value. ation," Papers 24-99, Tel Aviv.
  30. Moulin, H, 1984. "The Conditional Auction Mechanism for Sharing a Surplus," Review of Economic Studies, Wiley Blackwell, vol. 51(1), pages 157-70, January.
  31. Varian, Hal R., 1994. "Sequential contributions to public goods," Journal of Public Economics, Elsevier, vol. 53(2), pages 165-186, February.
  32. 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.
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