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Choosing wisely: the natural multi-bidding mechanism

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  • Lars Ehlers

Abstract

Pérez-Castrillo and Wettstein (2002) propose a multi-bidding mechanism to determine a winner from a set of possible projects. The winning project is implemented and its surplus is shared among the agents. In the multi-bidding mechanism each agent announces a vector of bids, one for each possible project, that are constrained to sum up to zero. In addition, each agent chooses a favorite a object which is used as a tie-breaker if several projects receive the same highest aggregate bid. Since more desirable projects receive larger bids, it is natural to consider the multi-bidding mechanism without the announcement of favorite projects. We show that the merits of the multi-bidding mechanism appear not to be robust to this natural simplification. Specifically, a Nash equilibrium exists if and only if there are at least two individually optimal projects and all individually optimal projects are efficient.
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Suggested Citation

  • 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.
    • Handle: RePEc:spr:joecth:v:39:y:2009:i:3:p:505-512
    DOI: 10.1007/s00199-008-0355-7
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    References listed on IDEAS

    as
    1. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
    2. David Pérez-Castrillo & David Wettstein, 2002. "Choosing Wisely: A Multibidding Approach," American Economic Review, American Economic Association, vol. 92(5), pages 1577-1587, December.
    3. Róbert Veszteg, 2010. "Multibidding game under uncertainty," Review of Economic Design, Springer;Society for Economic Design, vol. 14(3), pages 311-329, September.
    4. 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.
    5. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1999. "Multidimensional Mechanism Design for Auctions with Externalities," Journal of Economic Theory, Elsevier, vol. 85(2), pages 258-293, April.
    6. Mutuswami, Suresh & Perez-Castrillo, David & Wettstein, David, 2004. "Bidding for the surplus: realizing efficient outcomes in economic environments," Games and Economic Behavior, Elsevier, vol. 48(1), pages 111-123, July.
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    Citations

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    Cited by:

    1. Licun Xue & Lingling Zhang, 2012. "Bidding and sequential coalition formation with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 49-73, February.
    2. Laurent-Lucchetti, Jérémy & Leroux, Justin, 2011. "Choosing and sharing," Games and Economic Behavior, Elsevier, vol. 73(1), pages 296-300, September.
    3. Pérez-Castrillo, David & Quérou, Nicolas, 2012. "Smooth multibidding mechanisms," Games and Economic Behavior, Elsevier, vol. 76(2), pages 420-438.
    4. Toyotaka Sakai, 2012. "Fair waste pricing: an axiomatic analysis to the NIMBY problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 499-521, June.
    5. Federico Echenique & Mat'ias N'u~nez, 2022. "Price & Choose," Papers 2212.05650, arXiv.org, revised Apr 2023.

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    More about this item

    Keywords

    (Natural) Multi-bidding mechanism; Existence; Efficiency; D62; D78;
    All these keywords.

    JEL classification:

    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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