IDEAS home Printed from https://ideas.repec.org/a/spr/reecde/v8y2003i2p217-239.html
   My bibliography  Save this article

Solomon's Dilemma: An experimental study on dynamic implementation

Author

Listed:
  • Giovanni Ponti
  • Anita Gantner
  • Dunia López-Pintado
  • Robert Montgomery

Abstract

This paper reports an experimental investigation on two mechanisms for the so-called King Solomon Dilemma, where one of them fails to implement the social choice rule dynamically. We compare the two mechanisms in terms of their welfare, incentive and learning properties. Copyright Springer-Verlag Berlin/Heidelberg 2003

Suggested Citation

  • Giovanni Ponti & Anita Gantner & Dunia López-Pintado & Robert Montgomery, 2003. "Solomon's Dilemma: An experimental study on dynamic implementation," Review of Economic Design, Springer;Society for Economic Design, vol. 8(2), pages 217-239, October.
  • Handle: RePEc:spr:reecde:v:8:y:2003:i:2:p:217-239
    DOI: 10.1007/s10058-003-0100-4
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10058-003-0100-4
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10058-003-0100-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    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. Cooper, Russell & DeJong, Douglas V. & Forsythe, Robert & Ross, Thomas W., 1996. "Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games," Games and Economic Behavior, Elsevier, vol. 12(2), pages 187-218, February.
    3. Binmore, Ken & McCarthy, John & Ponti, Giovanni & Samuelson, Larry & Shaked, Avner, 2002. "A Backward Induction Experiment," Journal of Economic Theory, Elsevier, vol. 104(1), pages 48-88, May.
    4. Mookherjee Dilip & Sopher Barry, 1994. "Learning Behavior in an Experimental Matching Pennies Game," Games and Economic Behavior, Elsevier, vol. 7(1), pages 62-91, July.
    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.
    6. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, April.
    7. 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.
    8. Giovanni Ponti, 2000. "orignal paper: Splitting the baby in two: solving Solomon's dilemma with boundedly rational agents," Journal of Evolutionary Economics, Springer, vol. 10(4), pages 449-455.
    9. Borgers, Tilman & Sarin, Rajiv, 1997. "Learning Through Reinforcement and Replicator Dynamics," Journal of Economic Theory, Elsevier, vol. 77(1), pages 1-14, November.
    10. McKelvey, Richard D & Palfrey, Thomas R, 1992. "An Experimental Study of the Centipede Game," Econometrica, Econometric Society, vol. 60(4), pages 803-836, July.
    11. Antonio Cabrales & Giovanni Ponti, 2000. "Implementation, Elimination of Weakly Dominated Strategies and Evolutionary Dynamics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 247-282, April.
    12. Abreu, Dilip & Matsushima, Hitoshi, 1992. "A Response [Virtual Implementation in Iteratively Undominated Strategies I: Complete Information]," Econometrica, Econometric Society, vol. 60(6), pages 1439-1442, November.
    13. John H. Kagel & A. Alexander Elbittar, 2004. "King Solomon's Dilemma: A Laboratory Study on Implementation," Econometric Society 2004 North American Winter Meetings 592, Econometric Society.
    14. Cabrales, Antonio & Charness, Gary & Corchon, Luis C., 2003. "An experiment on Nash implementation," Journal of Economic Behavior & Organization, Elsevier, vol. 51(2), pages 161-193, June.
    15. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    16. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
    17. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    18. Nachbar, J H, 1990. ""Evolutionary" Selection Dynamics in Games: Convergence and Limit Properties," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(1), pages 59-89.
    19. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Philippe Aghion & Ernst Fehr & Richard Holden & Tom Wilkening, 2018. "The Role of Bounded Rationality and Imperfect Information in Subgame Perfect Implementation—An Empirical Investigation," Journal of the European Economic Association, European Economic Association, vol. 16(1), pages 232-274.
    2. Fehr, Ernst & Powell, Michael & Wilkening, Tom, 2021. "Behavioral Constraints on the Design of Subgame-Perfect Implementation Mechanisms," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 111(4), pages 1055-1091.
    3. repec:cdl:ucsbec:6-98 is not listed on IDEAS
    4. Antonio Cabrales & Giovanni Ponti, 2000. "Implementation, Elimination of Weakly Dominated Strategies and Evolutionary Dynamics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 247-282, April.
    5. 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.
    6. Pablo Brañas-Garza & Miguel A. Durán & Maria Paz Espinosa, 2009. "The Role of Personal Involvement and Responsibility in Unfair Outcomes," Rationality and Society, , vol. 21(2), pages 225-248, May.
    7. Alexander Elbittar & Sonia B. Di Giannatale, 2010. "King Solomon's Dilemma: An Experimental Study on Implementation," Working Papers DTE 477, CIDE, División de Economía.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Giovanni Ponti, 2000. "Splitting The Baby In Two: How To Solve Solomon'S Dilemma When Agents Are Boundedly Rational," Working Papers. Serie AD 2000-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    2. Antonio Cabrales & Giovanni Ponti, 2000. "Implementation, Elimination of Weakly Dominated Strategies and Evolutionary Dynamics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 247-282, April.
    3. Alexander Elbittar & Sonia B. Di Giannatale, 2010. "King Solomon's Dilemma: An Experimental Study on Implementation," Working Papers DTE 477, CIDE, División de Economía.
    4. repec:cdl:ucsbec:6-98 is not listed on IDEAS
    5. William H. Sandholm, 2002. "Evolutionary Implementation and Congestion Pricing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(3), pages 667-689.
    6. 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.
    7. Cabrales, Antonio & Charness, Gary & Corchon, Luis C., 2003. "An experiment on Nash implementation," Journal of Economic Behavior & Organization, Elsevier, vol. 51(2), pages 161-193, June.
    8. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
    9. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    10. Cabrales, Antonio & Serrano, Roberto, 2011. "Implementation in adaptive better-response dynamics: Towards a general theory of bounded rationality in mechanisms," Games and Economic Behavior, Elsevier, vol. 73(2), pages 360-374.
    11. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Working Papers 2003-19, Brown University, Department of Economics.
    12. Saran, Rene, 2016. "Bounded depths of rationality and implementation with complete information," Journal of Economic Theory, Elsevier, vol. 165(C), pages 517-564.
    13. Ken Binmore & Larry Samuelson, "undated". "Evolutionary Drift and Equilibrium Selection," ELSE working papers 011, ESRC Centre on Economics Learning and Social Evolution.
    14. Crawford, Vincent P., 2002. "Introduction to Experimental Game Theory," Journal of Economic Theory, Elsevier, vol. 104(1), pages 1-15, May.
    15. Weibull, Jörgen W., 1997. "What have we learned from Evolutionary Game Theory so far?," Working Paper Series 487, Research Institute of Industrial Economics, revised 26 Oct 1998.
    16. Ponti, Giovanni, 2000. "Cycles of Learning in the Centipede Game," Games and Economic Behavior, Elsevier, vol. 30(1), pages 115-141, January.
    17. James Schummer, 1999. "Almost-dominant Strategy Implementation," Discussion Papers 1278, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    18. Waters, George A., 2009. "Chaos in the cobweb model with a new learning dynamic," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1201-1216, June.
    19. Sandholm,W.H., 2003. "Excess payoff dynamics, potential dynamics, and stable games," Working papers 5, Wisconsin Madison - Social Systems.
    20. Cabrales, Antonio, 1999. "Adaptive Dynamics and the Implementation Problem with Complete Information," Journal of Economic Theory, Elsevier, vol. 86(2), pages 159-184, June.
    21. Anderhub, Vital & Guth, Werner & Marchand, Nadege, 2004. "Early or late conflict settlement in a variety of games - An experimental study," Journal of Economic Psychology, Elsevier, vol. 25(2), pages 177-194, April.

    More about this item

    Keywords

    Experiments; implementation; backward induction; bounded rationality;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:reecde:v:8:y:2003:i:2:p:217-239. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.