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Implementation in Iterative Elimination of Obviously Dominated Strategies: An Experiment on King Solomon's Dilemma

Author

Listed:
  • Makoto Hagiwara

    (Faculty of Economics, Osaka University of Economics, Research Institute for Economics and Business Administration, Kobe University, JAPAN)

  • Fumihiro Yonekura

    (School of Engineering, Tokyo Institute of Technology, Japan)

Abstract

"King Solomon's Dilemma" is based on a biblical story and this can be considered as an allocation problem for an indivisible object among two players. A social planner wants to assign the object without payment to the player whose valuation is the highest. We say that such an allocation is "first-best." We experimentally compare the relative performance of the mechanism of Mihara (Japanese Economic Review, 63(3), 420-429, 2012) and a mechanism which we modify Mihara's mechanism. We find that a modified Mihara's mechanism relatively works better than Mihara's mechanism from the following five view points: (1) the proportion of the first-best allocations; (2) the proportion of the right-player allocations; (3) resource inefficiency and wrong-player infficiency; (4) net mean efficiency; and (5) players' behavior.

Suggested Citation

  • 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.
    • Handle: RePEc:kob:dpaper:dp2020-17
    as

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    File URL: https://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2020-17.pdf
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    References listed on IDEAS

    as
    1. Katok, Elena & Sefton, Martin & Yavas, Abdullah, 2002. "Implementation by Iterative Dominance and Backward Induction: An Experimental Comparison," Journal of Economic Theory, Elsevier, vol. 104(1), pages 89-103, May.
    2. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
    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. Masuda, Takehito & Okano, Yoshitaka & Saijo, Tatsuyoshi, 2014. "The minimum approval mechanism implements the efficient public good allocation theoretically and experimentally," Games and Economic Behavior, Elsevier, vol. 83(C), pages 73-85.
    5. Shengwu Li, 2017. "Obviously Strategy-Proof Mechanisms," American Economic Review, American Economic Association, vol. 107(11), pages 3257-3287, November.
    6. Terri Kneeland, 2015. "Identifying Higher‐Order Rationality," Econometrica, Econometric Society, vol. 83(5), pages 2065-2079, September.
    7. Kagel, John H & Harstad, Ronald M & Levin, Dan, 1987. "Information Impact and Allocation Rules in Auctions with Affiliated Private Values: A Laboratory Study," Econometrica, Econometric Society, vol. 55(6), pages 1275-1304, November.
    8. 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.
    9. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    10. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    11. 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.
    12. 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.
    13. 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.
    14. Rapoport, Amnon & Amaldoss, Wilfred, 2000. "Mixed strategies and iterative elimination of strongly dominated strategies: an experimental investigation of states of knowledge," Journal of Economic Behavior & Organization, Elsevier, vol. 42(4), pages 483-521, August.
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    More about this item

    Keywords

    Implementation in iterative elimination of obviously dominated strategies; King Solomon's Dilemma; Mihara's mechanism; Ascending clock auctions; Laboratory experiment;
    All these keywords.

    JEL classification:

    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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