IDEAS home Printed from https://ideas.repec.org/a/kap/theord/v83y2017i1d10.1007_s11238-017-9588-x.html
   My bibliography  Save this article

Meaningful learning in weighted voting games: an experiment

Author

Listed:
  • Eric Guerci

    (Université Côte d’Azur, CNRS GREDEG)

  • Nobuyuki Hanaki

    (Université Côte d’Azur, CNRS GREDEG)

  • Naoki Watanabe

    (Keio University)

Abstract

By employing binary committee choice problems, this paper investigates how varying or eliminating feedback about payoffs affects: (1) subjects’ learning about the underlying relationship between their nominal voting weights and their expected payoffs in weighted voting games; (2) the transfer of acquired learning from one committee choice problem to a similar but different problem. In the experiment, subjects choose to join one of two committees (weighted voting games) and obtain a payoff stochastically determined by a voting theory. We found that: (i) subjects learned to choose the committee that generates a higher expected payoff even without feedback about the payoffs they received; (ii) there was statistically significant evidence of “meaningful learning” (transfer of learning) only for the treatment with no payoff-related feedback. This finding calls for re-thinking existing models of learning to incorporate some type of introspection.

Suggested Citation

  • Eric Guerci & Nobuyuki Hanaki & Naoki Watanabe, 2017. "Meaningful learning in weighted voting games: an experiment," Theory and Decision, Springer, vol. 83(1), pages 131-153, June.
  • Handle: RePEc:kap:theord:v:83:y:2017:i:1:d:10.1007_s11238-017-9588-x
    DOI: 10.1007/s11238-017-9588-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11238-017-9588-x
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11238-017-9588-x?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. Hanaki, Nobuyuki & Sethi, Rajiv & Erev, Ido & Peterhansl, Alexander, 2005. "Learning strategies," Journal of Economic Behavior & Organization, Elsevier, vol. 56(4), pages 523-542, April.
    2. John Kagel & Hankyoung Sung & Eyal Winter, 2010. "Veto power in committees: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 13(2), pages 167-188, June.
    3. Sergiu Hart, 2013. "Adaptive Heuristics," World Scientific Book Chapters, in: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics, chapter 11, pages 253-287, World Scientific Publishing Co. Pte. Ltd..
    4. 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.
    5. Haruvy, Ernan & Stahl, Dale O., 2012. "Between-game rule learning in dissimilar symmetric normal-form games," Games and Economic Behavior, Elsevier, vol. 74(1), pages 208-221.
    6. Colin Camerer & Teck-Hua Ho, 1999. "Experience-weighted Attraction Learning in Normal Form Games," Econometrica, Econometric Society, vol. 67(4), pages 827-874, July.
    7. Bednar, Jenna & Chen, Yan & Liu, Tracy Xiao & Page, Scott, 2012. "Behavioral spillovers and cognitive load in multiple games: An experimental study," Games and Economic Behavior, Elsevier, vol. 74(1), pages 12-31.
    8. Eric Guerci & Nobuyuki Hanaki & Naoki Watanabe, 2017. "Meaningful learning in weighted voting games: an experiment," Theory and Decision, Springer, vol. 83(1), pages 131-153, June.
    9. Stahl, Dale O., 1996. "Boundedly Rational Rule Learning in a Guessing Game," Games and Economic Behavior, Elsevier, vol. 16(2), pages 303-330, October.
    10. Jasmina Arifovic & John Ledyard, 2012. "Individual Evolutionary Learning, Other-regarding Preferences, and the Voluntary Contributions Mechanism," Discussion Papers wp12-01, Department of Economics, Simon Fraser University.
    11. Cason, Timothy N. & Savikhin, Anya C. & Sheremeta, Roman M., 2012. "Behavioral spillovers in coordination games," European Economic Review, Elsevier, vol. 56(2), pages 233-245.
    12. Ho, Teck-Hua & Camerer, Colin & Weigelt, Keith, 1998. "Iterated Dominance and Iterated Best Response in Experimental "p-Beauty Contests."," American Economic Review, American Economic Association, vol. 88(4), pages 947-969, September.
    13. 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.
    14. Timothy N. Cason & Daniel Friedman, 1997. "Price Formation in Single Call Markets," Econometrica, Econometric Society, vol. 65(2), pages 311-346, March.
    15. Neugebauer, Tibor & Perote, Javier & Schmidt, Ulrich & Loos, Malte, 2009. "Selfish-biased conditional cooperation: On the decline of contributions in repeated public goods experiments," Journal of Economic Psychology, Elsevier, vol. 30(1), pages 52-60, February.
    16. 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.
    17. Robert J. Meyer & Yong Shi, 1995. "Sequential Choice Under Ambiguity: Intuitive Solutions to the Armed-Bandit Problem," Management Science, INFORMS, vol. 41(5), pages 817-834, May.
    18. Cheung, Yin-Wong & Friedman, Daniel, 1997. "Individual Learning in Normal Form Games: Some Laboratory Results," Games and Economic Behavior, Elsevier, vol. 19(1), pages 46-76, April.
    19. Dufwenberg, Martin & Sundaram, Ramya & Butler, David J., 2010. "Epiphany in the Game of 21," Journal of Economic Behavior & Organization, Elsevier, vol. 75(2), pages 132-143, August.
    20. Ioannou, Christos A. & Romero, Julian, 2014. "A generalized approach to belief learning in repeated games," Games and Economic Behavior, Elsevier, vol. 87(C), pages 178-203.
    21. Weber, Roberto A., 2003. "'Learning' with no feedback in a competitive guessing game," Games and Economic Behavior, Elsevier, vol. 44(1), pages 134-144, July.
    22. Hu, Yingyao & Kayaba, Yutaka & Shum, Matthew, 2013. "Nonparametric learning rules from bandit experiments: The eyes have it!," Games and Economic Behavior, Elsevier, vol. 81(C), pages 215-231.
    23. Frechette, Guillaume R. & Kagel, John H. & Morelli, Massimo, 2005. "Gamson's Law versus non-cooperative bargaining theory," Games and Economic Behavior, Elsevier, vol. 51(2), pages 365-390, May.
    24. Frechette, Guillaume & Kagel, John H. & Morelli, Massimo, 2005. "Nominal bargaining power, selection protocol, and discounting in legislative bargaining," Journal of Public Economics, Elsevier, vol. 89(8), pages 1497-1517, August.
    25. Arifovic, Jasmina & Ledyard, John, 2012. "Individual evolutionary learning, other-regarding preferences, and the voluntary contributions mechanism," Journal of Public Economics, Elsevier, vol. 96(9-10), pages 808-823.
    26. Erev, Ido & Roth, Alvin E, 1998. "Predicting How People Play Games: Reinforcement Learning in Experimental Games with Unique, Mixed Strategy Equilibria," American Economic Review, American Economic Association, vol. 88(4), pages 848-881, September.
    27. 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.
    28. Edward Packel & John Deegan, 1980. "An axiomated family of power indices for simple n-person games," Public Choice, Springer, vol. 35(2), pages 229-239, January.
    29. Spiliopoulos, Leonidas, 2012. "Pattern recognition and subjective belief learning in a repeated constant-sum game," Games and Economic Behavior, Elsevier, vol. 75(2), pages 921-935.
    30. Michalis Drouvelis & Maria Montero & Martin Sefton, 2007. "The Paradox of New Members: Strategic Foundations and Experimental Evidence," Discussion Papers 2007-13, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    31. Jeffrey Banks & David Porter & Mark Olson, 1997. "An experimental analysis of the bandit problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 55-77.
    32. Rick, Scott & Weber, Roberto A., 2010. "Meaningful learning and transfer of learning in games played repeatedly without feedback," Games and Economic Behavior, Elsevier, vol. 68(2), pages 716-730, March.
    33. Spiliopoulos, Leonidas, 2013. "Beyond fictitious play beliefs: Incorporating pattern recognition and similarity matching," Games and Economic Behavior, Elsevier, vol. 81(C), pages 69-85.
    34. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    35. Mengel, Friederike & Sciubba, Emanuela, 2014. "Extrapolation and structural similarity in games," Economics Letters, Elsevier, vol. 125(3), pages 381-385.
    36. David Cooper & John Kagel, 2008. "Learning and transfer in signaling games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 415-439, March.
    37. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    38. Ido Erev & Eyal Ert & Alvin E. Roth, 2010. "A Choice Prediction Competition for Market Entry Games: An Introduction," Games, MDPI, vol. 1(2), pages 1-20, May.
    39. David Cooper & John H. Kagel, 2003. "Lessons Learned: Generalizing Learning Across Games," American Economic Review, American Economic Association, vol. 93(2), pages 202-207, May.
    40. Arifovic, Jasmina & McKelvey, Richard D. & Pevnitskaya, Svetlana, 2006. "An initial implementation of the Turing tournament to learning in repeated two-person games," Games and Economic Behavior, Elsevier, vol. 57(1), pages 93-122, October.
    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. Eric Guerci & Nobuyuki Hanaki & Naoki Watanabe, 2017. "Meaningful learning in weighted voting games: an experiment," Theory and Decision, Springer, vol. 83(1), pages 131-153, June.
    2. 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.
    3. Nicola Maaser & Fabian Paetzel & Stefan Traub, 2022. "Gender and Nominal Power in Multilateral Bargaining," Games, MDPI, vol. 13(1), pages 1-25, January.
    4. Naoki Watanabe, 2022. "Reconsidering Meaningful Learning in a Bandit Experiment on Weighted Voting: Subjects’ Search Behavior," The Review of Socionetwork Strategies, Springer, vol. 16(1), pages 81-107, April.
    5. Matthias Weber, 2014. "Choosing Voting Systems behind the Veil of Ignorance: A Two-Tier Voting Experiment," Tinbergen Institute Discussion Papers 14-042/I, Tinbergen Institute.

    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. Eric Guerci & Nobuyuki Hanaki & Naoki Watanabe, 2015. "Meaningful Learning in Weighted Voting Games: An Experiment," Working Papers halshs-01216244, HAL.
    2. Naoki Watanabe, 2022. "Reconsidering Meaningful Learning in a Bandit Experiment on Weighted Voting: Subjects’ Search Behavior," The Review of Socionetwork Strategies, Springer, vol. 16(1), pages 81-107, April.
    3. Ioannou, Christos A. & Romero, Julian, 2014. "A generalized approach to belief learning in repeated games," Games and Economic Behavior, Elsevier, vol. 87(C), pages 178-203.
    4. Haruvy, Ernan & Stahl, Dale O., 2012. "Between-game rule learning in dissimilar symmetric normal-form games," Games and Economic Behavior, Elsevier, vol. 74(1), pages 208-221.
    5. 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.
    6. Jasmina Arifovic & John Ledyard, 2018. "Learning to alternate," Experimental Economics, Springer;Economic Science Association, vol. 21(3), pages 692-721, September.
    7. Hanaki, Nobuyuki & Kirman, Alan & Pezanis-Christou, Paul, 2018. "Observational and reinforcement pattern-learning: An exploratory study," European Economic Review, Elsevier, vol. 104(C), pages 1-21.
    8. 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.
    9. Eric Guerci & Nobuyuki Hanaki & Naoki Watanabe & Gabriele Esposito & Xiaoyan Lu, 2011. "A Note on a Weighted Voting Experiment: Human Mistakes in Cooperative Games," Working Papers halshs-00645867, HAL.
    10. Nobuyuki Hanaki & Alan Kirman & Paul Pezanis-Christou, 2016. "Counter Intuitive Learning: An Exploratory Study," School of Economics and Public Policy Working Papers 2016-12, University of Adelaide, School of Economics and Public Policy.
    11. Rick, Scott & Weber, Roberto A., 2010. "Meaningful learning and transfer of learning in games played repeatedly without feedback," Games and Economic Behavior, Elsevier, vol. 68(2), pages 716-730, March.
    12. 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.
    13. Dal Bó, Pedro & Fréchette, Guillaume R. & Kim, Jeongbin, 2021. "The determinants of efficient behavior in coordination games," Games and Economic Behavior, Elsevier, vol. 130(C), pages 352-368.
    14. Chernov, G. & Susin, I., 2019. "Models of learning in games: An overview," Journal of the New Economic Association, New Economic Association, vol. 44(4), pages 77-125.
    15. Ido Erev & Eyal Ert & Alvin E. Roth, 2010. "A Choice Prediction Competition for Market Entry Games: An Introduction," Games, MDPI, vol. 1(2), pages 1-20, May.
    16. 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.
    17. Andreas Ortmann & Leonidas Spiliopoulos, 2017. "The beauty of simplicity? (Simple) heuristics and the opportunities yet to be realized," Chapters, in: Morris Altman (ed.), Handbook of Behavioural Economics and Smart Decision-Making, chapter 7, pages 119-136, Edward Elgar Publishing.
    18. David J. Cooper & John Van Huyck, 2018. "Coordination and transfer," Experimental Economics, Springer;Economic Science Association, vol. 21(3), pages 487-512, September.
    19. Fréchette, Guillaume R., 2009. "Learning in a multilateral bargaining experiment," Journal of Econometrics, Elsevier, vol. 153(2), pages 183-195, December.
    20. Teck H Ho & Colin Camerer & Juin-Kuan Chong, 2003. "Functional EWA: A one-parameter theory of learning in games," Levine's Working Paper Archive 506439000000000514, David K. Levine.

    More about this item

    Keywords

    Learning; Voting game; Experiment; Two-armed bandit problem;
    All these keywords.

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    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:kap:theord:v:83:y:2017:i:1:d:10.1007_s11238-017-9588-x. 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.