IDEAS home Printed from https://ideas.repec.org/p/gre/wpaper/2021-07.html
   My bibliography  Save this paper

An Experiment on the Nash Program: Comparing two Mechanisms Implementing the Shapley Value

Author

Listed:
  • Michela Chessa

    (Université Côte d'Azur, France
    GREDEG CNRS)

  • Nobuyuki Hanaki

    (Osaka University,)

  • Aymeric Lardon

    (GATE Lyon Saint-Etienne,)

  • Takashi Yamada

    (Yamaguchi University, Japan)

Abstract

We experimentally compare two well-known mechanisms inducing the Shapley value as an ex ante equilibrium outcome of a noncooperative bargaining procedure: the demand-based Winter's demand commitment bargaining mechanism and the offer-based Hart and Mas-Colell bidding procedure. Our results suggest that, on the one hand, the offer-based Hart and Mas-Colell mechanism better induces players to cooperate and to agree on an efficient outcome; on the other hand, the demand-based Winter mechanism better implements allocations that reflect players' effective bargaining power.

Suggested Citation

  • Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2021. "An Experiment on the Nash Program: Comparing two Mechanisms Implementing the Shapley Value," GREDEG Working Papers 2021-07, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
  • Handle: RePEc:gre:wpaper:2021-07
    as

    Download full text from publisher

    File URL: http://195.220.198.217/GREDEG-WP-2021-07.pdf
    File Function: First version
    Download Restriction: no
    ---><---

    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. Hart, Oliver & Moore, John, 1990. "Property Rights and the Nature of the Firm," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1119-1158, December.
    3. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    4. René van den Brink, 2002. "An axiomatization of the Shapley value using a fairness property," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(3), pages 309-319.
    5. Maria Montero & Martin Sefton & Ping Zhang, 2008. "Enlargement and the balance of power: an experimental study," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 69-87, January.
    6. Roberto Serrano, 2020. "Sixty-Seven Years of the Nash Program: Time for Retirement?," Working Papers 2020-20, Brown University, Department of Economics.
    7. Geoffroy de Clippel & Kareen Rozen, 2022. "Fairness through the Lens of Cooperative Game Theory: An Experimental Approach," American Economic Journal: Microeconomics, American Economic Association, vol. 14(3), pages 810-836, August.
    8. Bennett, E. & van Damme, E.E.C., 1990. "Demand commitment bargaining : The case of apex games," Other publications TiSEM ef13c9a9-3db6-4939-96ef-5, Tilburg University, School of Economics and Management.
    9. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
    10. Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October.
    11. 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.
    12. Roth, Alvin E. & Vesna Prasnikar & Masahiro Okuno-Fujiwara & Shmuel Zamir, 1991. "Bargaining and Market Behavior in Jerusalem, Ljubljana, Pittsburgh, and Tokyo: An Experimental Study," American Economic Review, American Economic Association, vol. 81(5), pages 1068-1095, December.
    13. Yuan Ju & David Wettstein, 2009. "Implementing cooperative solution concepts: a generalized bidding approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 307-330, May.
    14. J. Keith Murnighan & Alvin E. Roth, 1977. "The Effects of Communication and Information Availability in an Experimental Study of a Three-Person Game," Management Science, INFORMS, vol. 23(12), pages 1336-1348, August.
    15. Krishna, Vijay & Serrano, Roberto, 1995. "Perfect Equilibria of a Model of N-Person Noncooperative Bargaining," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(3), pages 259-272.
    16. Winter, Eyal, 1994. "The Demand Commitment Bargaining and Snowballing Cooperation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 255-273, March.
    17. Eric Guerci & Nobuyuki Hanaki & Naoki Watanabe & Gabriele Esposito & Xiaoyan Lu, 2014. "A methodological note on a weighted voting experiment," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 827-850, December.
    18. Fiorina, Morris P. & Plott, Charles R., 1978. "Committee Decisions under Majority Rule: An Experimental Study," American Political Science Review, Cambridge University Press, vol. 72(2), pages 575-598, June.
    19. Frã‰Chette, Guillaume R. & Kagel, John H. & Lehrer, Steven F., 2003. "Bargaining in Legislatures: An Experimental Investigation of Open versus Closed Amendment Rules," American Political Science Review, Cambridge University Press, vol. 97(2), pages 221-232, May.
    20. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
    21. 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.
    22. Hessel Oosterbeek & Randolph Sloof & Gijs van de Kuilen, 2004. "Cultural Differences in Ultimatum Game Experiments: Evidence from a Meta-Analysis," Experimental Economics, Springer;Economic Science Association, vol. 7(2), pages 171-188, June.
    23. Stephen Ansolabehere & James M. Snyder & Aaron B. Strauss & Michael M. Ting, 2005. "Voting Weights and Formateur Advantages in the Formation of Coalition Governments," American Journal of Political Science, John Wiley & Sons, vol. 49(3), pages 550-563, July.
    24. Guillaume Fréchette & John H. Kagel & Massimo Morelli, 2005. "Behavioral Identification in Coalitional Bargaining: An Experimental Analysis of Demand Bargaining and Alternating Offers," Econometrica, Econometric Society, vol. 73(6), pages 1893-1937, November.
    25. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    26. Morelli, Massimo, 1999. "Demand Competition and Policy Compromise in Legislative Bargaining," American Political Science Review, Cambridge University Press, vol. 93(4), pages 809-820, December.
    27. Gary E. Bolton & Kalyan Chatterjee & Kathleen L. McGinn, 2013. "How Communication Links Influence Coalition Bargaining: A Laboratory Investigation," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 6, pages 113-128, World Scientific Publishing Co. Pte. Ltd..
    28. John C. Harsanyi, 1974. "An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition," Management Science, INFORMS, vol. 20(11), pages 1472-1495, July.
    29. H. Moulin, 1984. "The Conditional Auction Mechanism for Sharing a Surplus," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(1), pages 157-170.
    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. Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2021. "An experiment on the Winter demand commitment bargaining mechanism," ISER Discussion Paper 1152, Institute of Social and Economic Research, Osaka University.

    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. Chessa, Michela & Hanaki, Nobuyuki & Lardon, Aymeric & Yamada, Takashi, 2023. "An experiment on the Nash program: A comparison of two strategic mechanisms implementing the Shapley value," Games and Economic Behavior, Elsevier, vol. 141(C), pages 88-104.
    2. Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2022. "An experiment on the Nash program: Comparing two strategic mechanisms implementing the Shapley value," ISER Discussion Paper 1175, Institute of Social and Economic Research, Osaka University.
    3. Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2023. "An Experiment on Demand Commitment Bargaining," Dynamic Games and Applications, Springer, vol. 13(2), pages 589-609, June.
    4. Chessa, Michela & Hanaki, Nobuyuki & Lardon, Aymeric & Yamada, Takashi, 2022. "The effect of choosing a proposer through a bidding procedure in implementing the Shapley value," Journal of Economic Psychology, Elsevier, vol. 93(C).
    5. Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2021. "An experiment on the Winter demand commitment bargaining mechanism," ISER Discussion Paper 1152, Institute of Social and Economic Research, Osaka University.
    6. Roberto Serrano, 2005. "Fifty years of the Nash program, 1953-2003," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 219-258, May.
    7. Roberto Serrano, 2004. "Fifty Years of the Nash Program, 1953-2003," Working Papers 2004-20, Brown University, Department of Economics.
    8. Roberto Serrano, 2021. "Sixty-seven years of the Nash program: time for retirement?," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 35-48, March.
    9. Akira Okada, 2015. "Cooperation and Institution in Games," The Japanese Economic Review, Japanese Economic Association, vol. 66(1), pages 1-32, March.
    10. Drouvelis, Michalis & Montero, Maria & Sefton, Martin, 2010. "Gaining power through enlargement: Strategic foundations and experimental evidence," Games and Economic Behavior, Elsevier, vol. 69(2), pages 274-292, July.
    11. Hsu, Li-Chen & Yang, C.C. & Yang, Chun-Lei, 2008. "Positive- versus zero-sum majoritarian ultimatum games: An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 68(3-4), pages 498-510, December.
    12. Li, Shuwen & Houser, Daniel, 2022. "Stochastic bargaining in the lab," Journal of Economic Behavior & Organization, Elsevier, vol. 200(C), pages 687-715.
    13. Breitmoser, Yves & Tan, Jonathan H.W., 2011. "Ultimata bargaining: generosity without social motives," MPRA Paper 33613, University Library of Munich, Germany.
    14. Laruelle, Annick & Valenciano, Federico, 2008. "Noncooperative foundations of bargaining power in committees and the Shapley-Shubik index," Games and Economic Behavior, Elsevier, vol. 63(1), pages 341-353, May.
    15. Michela Chessa & Nobuyuki Hanaki & Aymeric Lardon & Takashi Yamada, 2022. "Cost of complexity in implementing the Shapley value by choosing a proposer through a bidding procedure," ISER Discussion Paper 1176, Institute of Social and Economic Research, Osaka University.
    16. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications,, Elsevier.
    17. Montero, Maria, 2002. "Non-cooperative bargaining in apex games and the kernel," Games and Economic Behavior, Elsevier, vol. 41(2), pages 309-321, November.
    18. Yuan Ju & David Wettstein, 2009. "Implementing cooperative solution concepts: a generalized bidding approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 307-330, May.
    19. Wagner, Alexander K. & Granic, Dura-Georg, 2017. "Tie-Breaking Power in Committees," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168187, Verein für Socialpolitik / German Economic Association.
    20. Alfredo Valencia-Toledo & Juan Vidal-Puga, 2020. "A sequential bargaining protocol for land rental arrangements," Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 65-99, June.

    More about this item

    Keywords

    Nash Program; Bargaining procedures; Shapley value; Experiments;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C90 - Mathematical and Quantitative Methods - - Design of Experiments - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:gre:wpaper:2021-07. 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: Patrice Bougette (email available below). General contact details of provider: https://edirc.repec.org/data/credcfr.html .

    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.