IDEAS home Printed from https://ideas.repec.org/a/gam/jgames/v4y2013i1p66-88d23657.html
   My bibliography  Save this article

Hierarchical Bayesian Analysis of Biased Beliefs and Distributional Other-Regarding Preferences

Author

Listed:
  • Ozan Aksoy

    (ICS/Department of Sociology, Faculty of Social Sciences, Utrecht University, Padualaan 14, 3584 CH, The Netherlands)

  • Jeroen Weesie

    (ICS/Department of Sociology, Faculty of Social Sciences, Utrecht University, Padualaan 14, 3584 CH, The Netherlands)

Abstract

This study investigates the relationship between an actor’s beliefs about others’ other-regarding (social) preferences and her own other-regarding preferences, using an “avant-garde” hierarchical Bayesian method. We estimate two distributional other-regarding preference parameters, α and β, of actors using incentivized choice data in binary Dictator Games. Simultaneously, we estimate the distribution of actors’ beliefs about others α and β, conditional on actors’ own α and β, with incentivized belief elicitation. We demonstrate the benefits of the Bayesian method compared to it’s hierarchical frequentist counterparts. Results show a positive association between an actor’s own (α; β ) and her beliefs about average (α; β) in the population. The association between own preferences and the varianc e in beliefs about others’ preferences in the population, however, is curvilinear for α and insignificant for β. These results are partially consistent with the cone effect [1,2] which is described in detail below. Because in the Bayesian-Nash equilibrium concept, beliefs and own preferences are assumed to be independent, these results cast doubt on the application of the Bayesian-Nash equilibrium concept to experimental data.

Suggested Citation

  • Ozan Aksoy & Jeroen Weesie, 2013. "Hierarchical Bayesian Analysis of Biased Beliefs and Distributional Other-Regarding Preferences," Games, MDPI, vol. 4(1), pages 1-23, February.
  • Handle: RePEc:gam:jgames:v:4:y:2013:i:1:p:66-88:d:23657
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2073-4336/4/1/66/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2073-4336/4/1/66/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Falk, Armin & Fischbacher, Urs, 2006. "A theory of reciprocity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 293-315, February.
    2. Ellingsen, Tore & Johannesson, Magnus & Tjøtta, Sigve & Torsvik, Gaute, 2010. "Testing guilt aversion," Games and Economic Behavior, Elsevier, vol. 68(1), pages 95-107, January.
    3. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    4. Stefan Kohler, 2012. "Incomplete Information about Social Preferences Explains Equal Division and Delay in Bargaining," Games, MDPI, vol. 3(3), pages 1-19, September.
    5. David Danz & Dietmar Fehr & Dorothea Kübler, 2012. "Information and beliefs in a repeated normal-form game," Experimental Economics, Springer;Economic Science Association, vol. 15(4), pages 622-640, December.
    6. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    7. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    8. Dirk Engelmann & Martin Strobel, 2000. "The False Consensus Effect Disappears if Representative Information and Monetary Incentives Are Given," Experimental Economics, Springer;Economic Science Association, vol. 3(3), pages 241-260, December.
    9. Dirk Engelmann & Martin Strobel, 2004. "Inequality Aversion, Efficiency, and Maximin Preferences in Simple Distribution Experiments," American Economic Review, American Economic Association, vol. 94(4), pages 857-869, September.
    10. Charness, Gary & Rabin, Matthew, 2002. "Understanding Social Preferences with Simple Tests," Department of Economics, Working Paper Series qt3d04q5sm, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    11. Ben Greiner, 2004. "The Online Recruitment System ORSEE 2.0 - A Guide for the Organization of Experiments in Economics," Working Paper Series in Economics 10, University of Cologne, Department of Economics.
    12. Blanco, Mariana & Engelmann, Dirk & Koch, Alexander K. & Normann, Hans-Theo, 2014. "Preferences and beliefs in a sequential social dilemma: a within-subjects analysis," Games and Economic Behavior, Elsevier, vol. 87(C), pages 122-135.
    13. Offerman, Theo & Sonnemans, Joep & Schram, Arthur, 1996. "Value Orientations, Expectations and Voluntary Contributions in Public Goods," Economic Journal, Royal Economic Society, vol. 106(437), pages 817-845, July.
    14. Charness, Gary & Rabin, Matthew, 2001. "Understanding Social Preferences with Simple Tests," Department of Economics, Working Paper Series qt4qz9k8vg, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    15. Mariana Blanco & Dirk Engelmann & Alexander Koch & Hans-Theo Normann, 2010. "Belief elicitation in experiments: is there a hedging problem?," Experimental Economics, Springer;Economic Science Association, vol. 13(4), pages 412-438, December.
    16. Charles Bellemare & Sabine Kröger & Arthur van Soest, 2008. "Measuring Inequity Aversion in a Heterogeneous Population Using Experimental Decisions and Subjective Probabilities," Econometrica, Econometric Society, vol. 76(4), pages 815-839, July.
    17. Kyle Hyndman & Erkut Özbay & Andrew Schotter & Wolf Ehrblatt, 2012. "Belief formation: an experiment with outside observers," Experimental Economics, Springer;Economic Science Association, vol. 15(1), pages 176-203, March.
    18. Blanco, Mariana & Engelmann, Dirk & Normann, Hans Theo, 2011. "A within-subject analysis of other-regarding preferences," Games and Economic Behavior, Elsevier, vol. 72(2), pages 321-338, June.
    19. Ismael Rodriguez-Lara & Luis Moreno-Garrido, 2012. "Modeling Inequity Aversion in a Dictator Game with Production," Games, MDPI, vol. 3(4), pages 1-12, October.
    20. Sophia Rabe-Hesketh & Anders Skrondal & Andrew Pickles, 2002. "Reliable estimation of generalized linear mixed models using adaptive quadrature," Stata Journal, StataCorp LP, vol. 2(1), pages 1-21, February.
    21. Gary Charness & Matthew Rabin, 2002. "Understanding Social Preferences with Simple Tests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 817-869.
    22. Dufwenberg, Martin & Gneezy, Uri, 2000. "Measuring Beliefs in an Experimental Lost Wallet Game," Games and Economic Behavior, Elsevier, vol. 30(2), pages 163-182, February.
    23. Ben Greiner, 2004. "The Online Recruitment System ORSEE - A Guide for the Organization of Experiments in Economics," Papers on Strategic Interaction 2003-10, Max Planck Institute of Economics, Strategic Interaction Group.
    24. Croson, Rachel T. A., 2000. "Thinking like a game theorist: factors affecting the frequency of equilibrium play," Journal of Economic Behavior & Organization, Elsevier, vol. 41(3), pages 299-314, March.
    25. repec:cup:judgdm:v:4:y:2009:i:5:p:363-384 is not listed on IDEAS
    26. Stahl, Dale O. & Haruvy, Ernan, 2006. "Other-regarding preferences: Egalitarian warm glow, empathy, and group size," Journal of Economic Behavior & Organization, Elsevier, vol. 61(1), pages 20-41, 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. Aksoy, Ozan, 2019. "Social identity and social value orientations," SocArXiv 83rzv, Center for Open Science.
    2. David Macro & Jeroen Weesie, 2016. "Inequalities between Others Do Matter: Evidence from Multiplayer Dictator Games," Games, MDPI, vol. 7(2), pages 1-23, April.

    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. Lejarraga, Tomás & Lucena, Abel & Rubí-Barceló, Antoni, 2020. "Beliefs estimated from choices in Proposer-Responder Games," Journal of Economic Behavior & Organization, Elsevier, vol. 179(C), pages 442-459.
    2. Mariana Blanco & Dirk Engelmann & Alexander Koch & Hans-Theo Normann, 2010. "Belief elicitation in experiments: is there a hedging problem?," Experimental Economics, Springer;Economic Science Association, vol. 13(4), pages 412-438, December.
    3. Dhaene, Geert & Bouckaert, Jan, 2010. "Sequential reciprocity in two-player, two-stage games: An experimental analysis," Games and Economic Behavior, Elsevier, vol. 70(2), pages 289-303, November.
    4. Blanco, Mariana & Engelmann, Dirk & Koch, Alexander K. & Normann, Hans-Theo, 2014. "Preferences and beliefs in a sequential social dilemma: a within-subjects analysis," Games and Economic Behavior, Elsevier, vol. 87(C), pages 122-135.
    5. Polonio, Luca & Coricelli, Giorgio, 2019. "Testing the level of consistency between choices and beliefs in games using eye-tracking," Games and Economic Behavior, Elsevier, vol. 113(C), pages 566-586.
    6. Nagore Iriberri & Pedro Rey‐Biel, 2013. "Elicited beliefs and social information in modified dictator games: What do dictators believe other dictators do?," Quantitative Economics, Econometric Society, vol. 4(3), pages 515-547, November.
    7. Kerschbamer, Rudolf, 2015. "The geometry of distributional preferences and a non-parametric identification approach: The Equality Equivalence Test," European Economic Review, Elsevier, vol. 76(C), pages 85-103.
    8. Charness, Gary & Naef, Michael & Sontuoso, Alessandro, 2019. "Opportunistic conformism," Journal of Economic Theory, Elsevier, vol. 180(C), pages 100-134.
    9. Despoina Alempaki & Andrew M. Colman & Felix Kölle & Graham Loomes & Briony D. Pulford, 2022. "Investigating the failure to best respond in experimental games," Experimental Economics, Springer;Economic Science Association, vol. 25(2), pages 656-679, April.
    10. Peeters, Ronald & Vorsatz, Marc, 2021. "Simple guilt and cooperation," Journal of Economic Psychology, Elsevier, vol. 82(C).
    11. Felix Koelle, 2012. "Heterogeneity and Cooperation in Privileged Groups: The Role of Capability and Valuation on Public Goods Provision," Cologne Graduate School Working Paper Series 03-08, Cologne Graduate School in Management, Economics and Social Sciences.
    12. Rudolf Kerschbamer, 2013. "The Geometry of Distributional Preferences and a Non-Parametric Identification Approach," Working Papers 2013-25, Faculty of Economics and Statistics, Universität Innsbruck.
    13. Adrian Bruhin & Ernst Fehr & Daniel Schunk, 2019. "The many Faces of Human Sociality: Uncovering the Distribution and Stability of Social Preferences," Journal of the European Economic Association, European Economic Association, vol. 17(4), pages 1025-1069.
    14. Anna Conte & M. Levati, 2014. "Use of data on planned contributions and stated beliefs in the measurement of social preferences," Theory and Decision, Springer, vol. 76(2), pages 201-223, February.
    15. Kerschbamer, Rudolf & Müller, Daniel, 2020. "Social preferences and political attitudes: An online experiment on a large heterogeneous sample," Journal of Public Economics, Elsevier, vol. 182(C).
    16. Diaz, Lina & Houser, Daniel & Ifcher, John & Zarghamee, Homa, 2023. "Estimating social preferences using stated satisfaction: Novel support for inequity aversion," European Economic Review, Elsevier, vol. 155(C).
    17. Hedegaard, Morten & Kerschbamer, Rudolf & Müller, Daniel & Tyran, Jean-Robert, 2021. "Distributional preferences explain individual behavior across games and time," Games and Economic Behavior, Elsevier, vol. 128(C), pages 231-255.
    18. Christian Thoeni & Simon Gaechter, 2011. "Peer Effects and Social Preferences in Voluntary Cooperation," Discussion Papers 2011-09, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    19. Eric Cardella, 2016. "Exploiting the guilt aversion of others: do agents do it and is it effective?," Theory and Decision, Springer, vol. 80(4), pages 523-560, April.
    20. Kurt A. Ackermann & Ryan O. Murphy, 2019. "Explaining Cooperative Behavior in Public Goods Games: How Preferences and Beliefs Affect Contribution Levels," Games, MDPI, vol. 10(1), pages 1-34, March.

    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:gam:jgames:v:4:y:2013:i:1:p:66-88:d:23657. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.