IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v123y2020icp54-67.html
   My bibliography  Save this article

Bayesian games with intentions

Author

Listed:
  • Bjorndahl, Adam
  • Halpern, Joseph Y.
  • Pass, Rafael

Abstract

We define Bayesian games with intentions by introducing a distinction between “intended” and “actual” actions, generalizing both Bayesian games and (static) psychological gamesGeanakoplos et al. (1989). We propose a new solution concept for this framework and prove that Nash equilibria in static psychological games correspond to a special class of equilibria as defined in our setting. We also show how the actual/intended divide can be used to implement the distinction between “real” outcomes and “reference” outcomes so crucial to prospect theory, and how some of the core insights of prospect theory can thereby be captured using Bayesian games with intentions.

Suggested Citation

  • Bjorndahl, Adam & Halpern, Joseph Y. & Pass, Rafael, 2020. "Bayesian games with intentions," Games and Economic Behavior, Elsevier, vol. 123(C), pages 54-67.
  • Handle: RePEc:eee:gamebe:v:123:y:2020:i:c:p:54-67
    DOI: 10.1016/j.geb.2020.06.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825620300889
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2020.06.003?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 search for a different version of it.

    References listed on IDEAS

    as
    1. H. Peyton Young & Shmuel Zamir (ed.), 2015. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 4, number 4.
    2. Giuseppe Attanasi & Pierpaolo Battigalli & Elena Manzoni, 2016. "Incomplete-Information Models of Guilt Aversion in the Trust Game," Management Science, INFORMS, vol. 62(3), pages 648-667, March.
    3. Botond Kőszegi & Matthew Rabin, 2006. "A Model of Reference-Dependent Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1133-1165.
    4. John C. Harsanyi, 1968. "Games with Incomplete Information Played by "Bayesian" Players Part II. Bayesian Equilibrium Points," Management Science, INFORMS, vol. 14(5), pages 320-334, January.
    5. Battigalli, Pierpaolo & Dufwenberg, Martin, 2009. "Dynamic psychological games," Journal of Economic Theory, Elsevier, vol. 144(1), pages 1-35, January.
    6. Pierpaolo Battigalli & Martin Dufwenberg & Alec Smith, 2015. "Frustration and Anger in Games," Working Papers 539, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    7. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    8. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    9. Geanakoplos, John & Pearce, David & Stacchetti, Ennio, 1989. "Psychological games and sequential rationality," Games and Economic Behavior, Elsevier, vol. 1(1), pages 60-79, March.
    10. Battigalli, Pierpaolo & Corrao, Roberto & Dufwenberg, Martin, 2019. "Incorporating belief-dependent motivation in games," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 185-218.
    11. Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications,, Elsevier.
    Full references (including those not matched with items on IDEAS)

    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. Battigalli, Pierpaolo & Corrao, Roberto & Dufwenberg, Martin, 2019. "Incorporating belief-dependent motivation in games," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 185-218.
    2. Battigalli, Pierpaolo & Corrao, Roberto & Sanna, Federico, 2020. "Epistemic game theory without types structures: An application to psychological games," Games and Economic Behavior, Elsevier, vol. 120(C), pages 28-57.
    3. Smith, Alec, 2019. "Lagged beliefs and reference-dependent utility," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 331-340.
    4. Khalmetski, Kiryl & Ockenfels, Axel & Werner, Peter, 2015. "Surprising gifts: Theory and laboratory evidence," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 163-208.
    5. Attanasi, Giuseppe & Battigalli, Pierpaolo & Manzoni, Elena & Nagel, Rosemarie, 2019. "Belief-dependent preferences and reputation: Experimental analysis of a repeated trust game," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 341-360.
    6. Edoardo Grillo, 2014. "Reference Dependence and Politicians' Credibility," Carlo Alberto Notebooks 353, Collegio Carlo Alberto.
    7. Aina, Chiara & Battigalli, Pierpaolo & Gamba, Astrid, 2020. "Frustration and anger in the Ultimatum Game: An experiment," Games and Economic Behavior, Elsevier, vol. 122(C), pages 150-167.
    8. Gill, David & Stone, Rebecca, 2015. "Desert and inequity aversion in teams," Journal of Public Economics, Elsevier, vol. 123(C), pages 42-54.
    9. Attanasi, Giuseppe & Rimbaud, Claire & Villeval, Marie Claire, 2019. "Embezzlement and guilt aversion," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 409-429.
    10. Kfir Eliaz & Ran Spiegler, 2014. "Reference Dependence and Labor Market Fluctuations," NBER Macroeconomics Annual, University of Chicago Press, vol. 28(1), pages 159-200.
    11. Cartwright, Edward, 2019. "A survey of belief-based guilt aversion in trust and dictator games," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 430-444.
    12. Sawa, Ryoji & Wu, Jiabin, 2018. "Prospect dynamics and loss dominance," Games and Economic Behavior, Elsevier, vol. 112(C), pages 98-124.
    13. Rossella Ferrario & Elena Manzoni, 2022. "Emotions matter for policy-making: An example on tacit collusion and guilt," Journal of Behavioral Economics for Policy, Society for the Advancement of Behavioral Economics (SABE), vol. 6(S1), pages 67-72, July.
    14. Gill, David & Stone, Rebecca, 2010. "Fairness and desert in tournaments," Games and Economic Behavior, Elsevier, vol. 69(2), pages 346-364, July.
    15. Giuseppe Attanasi & Pierpaolo Battigalli & Elena Manzoni, 2016. "Incomplete-Information Models of Guilt Aversion in the Trust Game," Management Science, INFORMS, vol. 62(3), pages 648-667, March.
    16. Grillo, Edoardo, 2016. "The hidden cost of raising voters’ expectations: Reference dependence and politicians’ credibility," Journal of Economic Behavior & Organization, Elsevier, vol. 130(C), pages 126-143.
    17. Battigalli, Pierpaolo & Dufwenberg, Martin & Smith, Alec, 2019. "Frustration, aggression, and anger in leader-follower games," Games and Economic Behavior, Elsevier, vol. 117(C), pages 15-39.
    18. Macera, Rosario, 2014. "Dynamic beliefs," Games and Economic Behavior, Elsevier, vol. 87(C), pages 1-18.
    19. Gill, David & Stone, Rebecca, 2009. "Fairness and desert in tournaments," Discussion Paper Series In Economics And Econometrics 903, Economics Division, School of Social Sciences, University of Southampton.
    20. Kozlovskaya, Maria & Nicoló, Antonio, 2019. "Public good provision mechanisms and reciprocity," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 235-244.

    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:eee:gamebe:v:123:y:2020:i:c:p:54-67. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    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.