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Imminent Nash Implementation as a Solution to King Solomon's Dilemma

Author

Listed:
  • Georgy Artemov

    (Brown University)

Abstract

This paper offers a solution to King Solomon's problem of allocating an indivisible "prize" to two agents. We add time dimension to the original space of outcomes and construct a static mechanism similar to the one used in virtual implementation. The implementation is imminent: the mechanism results in the original outcome, which is provided with an arbitrarily small delay.

Suggested Citation

  • Georgy Artemov, 2006. "Imminent Nash Implementation as a Solution to King Solomon's Dilemma," Economics Bulletin, AccessEcon, vol. 4(14), pages 1-8.
    • Handle: RePEc:ebl:ecbull:eb-06d70005
    as

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    File URL: http://www.accessecon.com/pubs/EB/2006/Volume4/EB-06D70005A.pdf
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    References listed on IDEAS

    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. 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.
    3. 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.
    4. 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.
    5. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
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    Citations

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    Cited by:

    1. Brishti Guha, 2017. "Testing for Malice," Economics Bulletin, AccessEcon, vol. 37(1), pages 327-335.
    2. Guha, Brishti, 2014. "Reinterpreting King Solomon's problem: Malice and mechanism design," Journal of Economic Behavior & Organization, Elsevier, vol. 98(C), pages 125-132.
    3. Cheng-Zhong Qin & Chun-Lei Yang, 2009. "Make a guess: a robust mechanism for King Solomon’s dilemma," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 259-268, May.
    4. Yuk-fai Fong & Peter Eso, 2008. "Wait and See," 2008 Meeting Papers 303, Society for Economic Dynamics.
    5. Artemov, Georgy, 2015. "Time and Nash implementation," Games and Economic Behavior, Elsevier, vol. 91(C), pages 229-236.

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    More about this item

    Keywords

    implementation;

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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