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Distributing Awards Efficiently: More on King Solomon’s Problem

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  • Bag, P.K.
  • Sabourian, H.

Abstract

We consider a multi-award generalisation of King Solomon’s problem: k identical and indivisible awards should be distributed among agents, k 1) prizes efficiently in sub-game perfect equilibria without any monetary transfers in equilibrium. Finally, in the multi-awards case we relax the complete information assumption and achieve implementation of efficient allocation by iterative elimination of weakly dominated strategies, using generalisation of Olszewski’s (2003) mechanism.

Suggested Citation

  • Bag, P.K. & Sabourian, H., 2004. "Distributing Awards Efficiently: More on King Solomon’s Problem," Cambridge Working Papers in Economics 0418, Faculty of Economics, University of Cambridge.
  • Handle: RePEc:cam:camdae:0418
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    References listed on IDEAS

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    1. Bag, Parimal Kanti, 1996. "Efficient Allocation of a "Pie": Divisible Case of King Solomon's Dilemma," Games and Economic Behavior, Elsevier, vol. 12(1), pages 21-41, January.
    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. 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.
    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. 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.
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    Cited by:

    1. Georgy Artemov, 2006. "Imminent Nash Implementation as a Solution to King Solomon's Dilemma," Economics Bulletin, AccessEcon, vol. 4(14), pages 1-8.
    2. H. Reiju Mihara, 2012. "The Second-Price Auction Solves King Solomon'S Dilemma," The Japanese Economic Review, Japanese Economic Association, vol. 63(3), pages 420-429, September.
    3. 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.
    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. Guha, Brishti, 2014. "Reinterpreting King Solomon's problem: Malice and mechanism design," Journal of Economic Behavior & Organization, Elsevier, vol. 98(C), pages 125-132.
    6. repec:ebl:ecbull:v:4:y:2006:i:14:p:1-8 is not listed on IDEAS
    7. 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.
    8. 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; prizes; implementation;
    All these keywords.

    JEL classification:

    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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