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The second-price auction solves King Solomon's dilemma

Author

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  • Mihara, H. Reiju
Abstract
Consider the problem of allocating k identical, indivisible objects among n agents, where k is less than n. The planner's objective is to give the objects to the top k valuation agents at zero costs to the planner and the agents. Each agent knows her own valuation of the object and whether it is among the top k. Modify the (k+1)st-price sealed-bid auction by introducing a small participation fee and the option not to participate in it. This strikingly simple mechanism (modified auction) implements the desired outcome in iteratively weakly undominated strategies. Moreover, no pair of agents can profitably deviate from the equilibrium by coordinating their strategies or bribing each other.

Suggested Citation

  • Mihara, H. Reiju, 2008. "The second-price auction solves King Solomon's dilemma," MPRA Paper 8801, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:8801
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    References listed on IDEAS

    as
    1. Olszewski, Wojciech, 2003. "A simple and general solution to King Solomon's problem," Games and Economic Behavior, Elsevier, vol. 42(2), pages 315-318, February.
    2. 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.
    3. Bag, Parimal Kanti & Sabourian, Hamid, 2005. "Distributing awards efficiently: More on King Solomon's problem," Games and Economic Behavior, Elsevier, vol. 53(1), pages 43-58, October.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Elbittar, Alexander & Di Giannatale, Sonia, 2017. "“Neither I nor you shall have him”: An experimental study of the King Solomon's Dilemma," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 70(C), pages 55-69.
    2. Alexander Elbittar & Sonia B. Di Giannatale, 2010. "King Solomon's Dilemma: An Experimental Study on Implementation," Working Papers DTE 477, CIDE, División de Economía.
    3. Makoto Hagiwara & Fumihiro Yonekura, 2020. "Implementation in Iterative Elimination of Obviously Dominated Strategies: An Experiment on King Solomon's Dilemma," Discussion Paper Series DP2020-17, Research Institute for Economics & Business Administration, Kobe University.
    4. Brishti Guha, 2017. "Testing for Malice," Economics Bulletin, AccessEcon, vol. 37(1), pages 327-335.

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    More about this item

    Keywords

    Solomon's problem; implementation; entry fees; Olszewski's mechanism; collusion; bribes;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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