IDEAS home Printed from https://ideas.repec.org/p/not/notcdx/2012-06.html
   My bibliography  Save this paper

Belief Formation in a Signalling Game without Common Prior: An Experiment

Author

Listed:
  • Alex Possajennikov

    (School of Economics, University of Nottingham)

Abstract

Using belief elicitation, the paper investigates the formation and the evolution of beliefs in a signalling game in which a common prior on Sender's type is not induced. Beliefs are elicited about the type of the Sender and about the strategies of the players. The experimental subjects often start with di use uniform beliefs and update them in view of observations. However, the speed of updating is in uenced by the strength of the initial beliefs. An interesting result is that beliefs about strategies are updated faster than beliefs about types. In the medium run, for some speci cations of game parameters, this leads to outcomes being significantly different from the outcomes of the game in which a common prior is induced. It is also shown that elicitation of beliefs does not considerably change the pattern of play.

Suggested Citation

  • Alex Possajennikov, 2012. "Belief Formation in a Signalling Game without Common Prior: An Experiment," Discussion Papers 2012-06, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  • Handle: RePEc:not:notcdx:2012-06
    as

    Download full text from publisher

    File URL: https://www.nottingham.ac.uk/cedex/documents/papers/cedex-discussion-paper-2012-06--1.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Rutström, E. Elisabet & Wilcox, Nathaniel T., 2009. "Stated beliefs versus inferred beliefs: A methodological inquiry and experimental test," Games and Economic Behavior, Elsevier, vol. 67(2), pages 616-632, November.
    2. Jürgen Eichberger & David Kelsey & Burkhard Schipper, 2008. "Granny Versus Game Theorist: Ambiguity in Experimental Games," Theory and Decision, Springer, vol. 64(2), pages 333-362, March.
    3. Palfrey, Thomas R. & Wang, Stephanie W., 2009. "On eliciting beliefs in strategic games," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 98-109, August.
    4. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July.
    5. David Kelsey & Sara Roux, 2015. "An experimental study on the effect of ambiguity in a coordination game," Theory and Decision, Springer, vol. 79(4), pages 667-688, December.
    6. 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.
    7. Christopher M. Anderson & Colin F. Camerer, 2000. "Experience-weighted attraction learning in sender-receiver signaling games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(3), pages 689-718.
    8. Chen, Yan & Katuscak, Peter & Ozdenoren, Emre, 2007. "Sealed bid auctions with ambiguity: Theory and experiments," Journal of Economic Theory, Elsevier, vol. 136(1), pages 513-535, September.
    9. Drouvelis, Michalis & Müller, Wieland & Possajennikov, Alex, 2012. "Signaling without a common prior: Results on experimental equilibrium selection," Games and Economic Behavior, Elsevier, vol. 74(1), pages 102-119.
    10. Armantier, Olivier & Treich, Nicolas, 2013. "Eliciting beliefs: Proper scoring rules, incentives, stakes and hedging," European Economic Review, Elsevier, vol. 62(C), pages 17-40.
    11. 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.
    12. Theo Offerman & Joep Sonnemans & Gijs Van De Kuilen & Peter P. Wakker, 2009. "A Truth Serum for Non-Bayesians: Correcting Proper Scoring Rules for Risk Attitudes ," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1461-1489.
    13. Ivanov, Asen, 2011. "Attitudes to ambiguity in one-shot normal-form games: An experimental study," Games and Economic Behavior, Elsevier, vol. 71(2), pages 366-394, March.
    14. Stahl, Dale II & Wilson, Paul W., 1994. "Experimental evidence on players' models of other players," Journal of Economic Behavior & Organization, Elsevier, vol. 25(3), pages 309-327, December.
    15. Yaw Nyarko & Andrew Schotter, 2002. "An Experimental Study of Belief Learning Using Elicited Beliefs," Econometrica, Econometric Society, vol. 70(3), pages 971-1005, May.
    16. Ken Binmore & Lisa Stewart & Alex Voorhoeve, 2012. "How much ambiguity aversion?," Journal of Risk and Uncertainty, Springer, vol. 45(3), pages 215-238, December.
    17. Guillaume Hollard & Sébastien Massoni & Jean-Christophe Vergnaud, 2016. "In search of good probability assessors: an experimental comparison of elicitation rules for confidence judgments," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01306258, HAL.
    18. Miguel A. Costa-Gomes & Georg Weizsäcker, 2008. "Stated Beliefs and Play in Normal-Form Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 729-762.
    19. Zhihua Li & Graham Loomes & Ganna Pogrebna, 2017. "Attitudes to Uncertainty in a Strategic Setting," Economic Journal, Royal Economic Society, vol. 127(601), pages 809-826.
    20. Ben Greiner, 2015. "Subject pool recruitment procedures: organizing experiments with ORSEE," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 114-125, July.
    21. Guillaume Hollard & Sébastien Massoni & Jean-Christophe Vergnaud, 2016. "In search of good probability assessors: an experimental comparison of elicitation rules for confidence judgments," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01306258, HAL.
    22. Colin Camerer & Teck-Hua Ho, 1999. "Experience-weighted Attraction Learning in Normal Form Games," Econometrica, Econometric Society, vol. 67(4), pages 827-874, July.
    23. Hans-Werner Sinn, 1980. "A Rehabilitation of the Principle of Insufficient Reason," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(3), pages 493-506.
    24. John C. Harsanyi, 1967. "Games with Incomplete Information Played by "Bayesian" Players, I-III Part I. The Basic Model," Management Science, INFORMS, vol. 14(3), pages 159-182, November.
    25. 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.
    26. Steffen Andersen & John Fountain & Glenn W. Harrison & Arne Risa Hole & E. Elisabet Rutström, 2010. "Inferring Beliefs as Subjectively Uncertain Probabilities," Experimental Economics Center Working Paper Series 2010-14, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
    27. Zhihua Li & Graham Loomes & Ganna Pogrebna, 2017. "Attitudes to Uncertainty in a Strategic Setting," Economic Journal, Royal Economic Society, vol. 0(601), pages 809-826, May.
    28. Stefan T. Trautmann & Gijs Kuilen, 2015. "Belief Elicitation: A Horse Race among Truth Serums," Economic Journal, Royal Economic Society, vol. 125(589), pages 2116-2135, December.
    29. Guillaume Hollard & Sébastien Massoni & Jean-Christophe Vergnaud, 2016. "In search of good probability assessors: an experimental comparison of elicitation rules for confidence judgments," Theory and Decision, Springer, vol. 80(3), pages 363-387, March.
    30. Rutstrom, E. Elizabet & Wilcox, Nathaniel, 2008. "Stated versus inferred beliefs: A methodological inquiry and experimental test," MPRA Paper 11852, University Library of Munich, Germany.
    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. Folli, Dominik & Wolff, Irenaeus, 2022. "Biases in belief reports," Journal of Economic Psychology, Elsevier, vol. 88(C).
    2. Dominik Bauer & Irenaeus Wolff, 2018. "Biases in Beliefs: Experimental Evidence," TWI Research Paper Series 109, Thurgauer Wirtschaftsinstitut, Universität Konstanz.
    3. Bauer, Dominik & Wolff, Irenaeus, 2019. "Biases in Beliefs," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203601, Verein für Socialpolitik / German Economic Association.
    4. Claudia Neri, 2015. "Eliciting beliefs in continuous-choice games: a double auction experiment," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 569-608, December.
    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. Charness, Gary & Gneezy, Uri & Rasocha, Vlastimil, 2021. "Experimental methods: Eliciting beliefs," Journal of Economic Behavior & Organization, Elsevier, vol. 189(C), pages 234-256.
    7. Chen Li & Uyanga Turmunkh & Peter P. Wakker, 2019. "Trust as a decision under ambiguity," Experimental Economics, Springer;Economic Science Association, vol. 22(1), pages 51-75, March.
    8. Armantier, Olivier & Treich, Nicolas, 2013. "Eliciting beliefs: Proper scoring rules, incentives, stakes and hedging," European Economic Review, Elsevier, vol. 62(C), pages 17-40.
    9. Manski, Charles F. & Neri, Claudia, 2013. "First- and second-order subjective expectations in strategic decision-making: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 81(C), pages 232-254.
    10. Kai Barron, 2021. "Belief updating: does the ‘good-news, bad-news’ asymmetry extend to purely financial domains?," Experimental Economics, Springer;Economic Science Association, vol. 24(1), pages 31-58, March.
    11. 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.
    12. 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.
    13. Simon Gächter & Elke Renner, 2010. "The effects of (incentivized) belief elicitation in public goods experiments," Experimental Economics, Springer;Economic Science Association, vol. 13(3), pages 364-377, September.
    14. Ivanov, Asen, 2011. "Attitudes to ambiguity in one-shot normal-form games: An experimental study," Games and Economic Behavior, Elsevier, vol. 71(2), pages 366-394, March.
    15. Simon Gächter & Elke Renner, 2010. "The effects of (incentivized) belief elicitation in public goods experiments," Experimental Economics, Springer;Economic Science Association, vol. 13(3), pages 364-377, September.
    16. 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.
    17. Masiliūnas, Aidas, 2017. "Overcoming coordination failure in a critical mass game: Strategic motives and action disclosure," Journal of Economic Behavior & Organization, Elsevier, vol. 139(C), pages 214-251.
    18. Eyting, Markus & Schmidt, Patrick, 2021. "Belief elicitation with multiple point predictions," European Economic Review, Elsevier, vol. 135(C).
    19. Koessler, Frédéric & Noussair, Charles & Ziegelmeyer, Anthony, 2012. "Information aggregation and belief elicitation in experimental parimutuel betting markets," Journal of Economic Behavior & Organization, Elsevier, vol. 83(2), pages 195-208.
    20. Ye Jin, 2021. "Does level-k behavior imply level-k thinking?," Experimental Economics, Springer;Economic Science Association, vol. 24(1), pages 330-353, March.

    More about this item

    Keywords

    beliefs; signalling; experiment; learning; belief elicitation;
    All these keywords.

    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:not:notcdx:2012-06. 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: Jose V Guinot Saporta (email available below). General contact details of provider: https://edirc.repec.org/data/cdnotuk.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.