IDEAS home Printed from https://ideas.repec.org/p/usg/econwp/201206.html
   My bibliography  Save this paper

First- and Second-order Subjective Expectations in Strategic Decision-Making: Experimental Evidence

Author

Listed:
  • Neri, Claudia
  • Manski, Charles

Abstract

We study first- and second-order subjective expectations (beliefs) in strategic decisionmaking.We propose a method to elicit probabilistically both first- and second-order beliefs and apply the method to a Hide-and-Seek experiment. We study the relationship between choice and beliefs in terms of whether observed choice coincides with the optimal action given elicited beliefs. We study the relationship between first- and second-order beliefs under a coherence criterion. Weak coherence requires that if an event is assigned, according to first-order beliefs, a probability higher/lower/equal to the one assigned to another event, then the same holds according to second-order beliefs. Strong coherence requires the probability assigned according to first- and second-order beliefs to coincide. Evidence of heterogeneity across participants is reported. Verbal comments collected at the end of the experiment shed light on how subjects think and decide in a complex environment that is strategic, dynamic and populated by potentially heterogeneous individuals.

Suggested Citation

  • Neri, Claudia & Manski, Charles, 2012. "First- and Second-order Subjective Expectations in Strategic Decision-Making: Experimental Evidence," Economics Working Paper Series 1206, University of St. Gallen, School of Economics and Political Science.
  • Handle: RePEc:usg:econwp:2012:06
    as

    Download full text from publisher

    File URL: http://ux-tauri.unisg.ch/RePEc/usg/econwp/EWP-1206.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. Charles Bellemare & Alexander Sebald & Martin Strobel, 2011. "Measuring the willingness to pay to avoid guilt: estimation using equilibrium and stated belief models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(3), pages 437-453, April.
    3. Antoni Bosch-Domènech & José G. Montalvo & Rosemarie Nagel & Albert Satorra, 2002. "One, Two, (Three), Infinity, ...: Newspaper and Lab Beauty-Contest Experiments," American Economic Review, American Economic Association, vol. 92(5), pages 1687-1701, December.
    4. Miguel A. Costa-Gomes & Georg Weizsäcker, 2008. "Stated Beliefs and Play in Normal-Form Games," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 729-762.
    5. Ronald Bosman & Heike Hennig-Schmidt & Frans Winden, 2006. "Exploring group decision making in a power-to-take experiment," Experimental Economics, Springer;Economic Science Association, vol. 9(1), pages 35-51, April.
    6. 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.
    7. David J. Cooper & John H. Kagel, 2005. "Are Two Heads Better Than One? Team versus Individual Play in Signaling Games," American Economic Review, American Economic Association, vol. 95(3), pages 477-509, June.
    8. 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.
    9. Christoph Vanberg, 2008. "Why Do People Keep Their Promises? An Experimental Test of Two Explanations -super-1," Econometrica, Econometric Society, vol. 76(6), pages 1467-1480, November.
    10. 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.
    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. Anthony Ziegelmeyer & Frédéric Koessler & Juergen Bracht & Eyal Winter, 2010. "Fragility of information cascades: an experimental study using elicited beliefs," Experimental Economics, Springer;Economic Science Association, vol. 13(2), pages 121-145, June.
    13. Bhatt, Meghana & Camerer, Colin F., 2005. "Self-referential thinking and equilibrium as states of mind in games: fMRI evidence," Games and Economic Behavior, Elsevier, vol. 52(2), pages 424-459, August.
    14. Armantier, Olivier & Treich, Nicolas, 2013. "Eliciting beliefs: Proper scoring rules, incentives, stakes and hedging," European Economic Review, Elsevier, vol. 62(C), pages 17-40.
    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. Engelberg, Joseph & Manski, Charles F. & Williams, Jared, 2009. "Comparing the Point Predictions and Subjective Probability Distributions of Professional Forecasters," Journal of Business & Economic Statistics, American Statistical Association, vol. 27, pages 30-41.
    17. Angela Hung & Jeff Dominitz, 2004. "Homogeneous Actions and Hetergeneous Beliefs: Experimental Evidence on the Formation of Information Cascades," Econometric Society 2004 North American Winter Meetings 64, Econometric Society.
    18. Charles F. Manski, 2004. "Measuring Expectations," Econometrica, Econometric Society, vol. 72(5), pages 1329-1376, September.
    19. Vincent P. Crawford & Nagore Iriberri, 2007. "Fatal Attraction: Salience, Naïveté, and Sophistication in Experimental "Hide-and-Seek" Games," American Economic Review, American Economic Association, vol. 97(5), pages 1731-1750, December.
    20. Manski, Charles F., 2002. "Identification of decision rules in experiments on simple games of proposal and response," European Economic Review, Elsevier, vol. 46(4-5), pages 880-891, May.
    21. Vincent P. Crawford & Nagore Iriberri, 2007. "Fatal Attraction: Salience, Naivete, and Sophistication in Experimental Hide-and-Seek Games," Levine's Bibliography 321307000000000861, UCLA Department of Economics.
    22. 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.
    23. Yaw Nyarko & Andrew Schotter, 2002. "An Experimental Study of Belief Learning Using Elicited Beliefs," Econometrica, Econometric Society, vol. 70(3), pages 971-1005, May.
    24. Manski, Charles F. & Molinari, Francesca, 2010. "Rounding Probabilistic Expectations in Surveys," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(2), pages 219-231.
    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. 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.
    2. 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.
    3. Eyting, Markus & Schmidt, Patrick, 2021. "Belief elicitation with multiple point predictions," European Economic Review, Elsevier, vol. 135(C).
    4. Folli, Dominik & Wolff, Irenaeus, 2022. "Biases in belief reports," Journal of Economic Psychology, Elsevier, vol. 88(C).
    5. Sandra Ludwig & Julia Nafziger, 2011. "Beliefs about overconfidence," Theory and Decision, Springer, vol. 70(4), pages 475-500, April.
    6. Armantier, Olivier & Treich, Nicolas, 2013. "Eliciting beliefs: Proper scoring rules, incentives, stakes and hedging," European Economic Review, Elsevier, vol. 62(C), pages 17-40.
    7. Charness, Gary & Gneezy, Uri & Rasocha, Vlastimil, 2021. "Experimental methods: Eliciting beliefs," Journal of Economic Behavior & Organization, Elsevier, vol. 189(C), pages 234-256.
    8. 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.
    9. 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.
    10. Sutter, Matthias & Czermak, Simon & Feri, Francesco, 2013. "Strategic sophistication of individuals and teams. Experimental evidence," European Economic Review, Elsevier, vol. 64(C), pages 395-410.
    11. 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.
    12. Lopera Baena, Maria Adelaida, 2016. "Evidence of Conditional and Unconditional Cooperation in a Public Goods Game: Experimental Evidence from Mali," VfS Annual Conference 2016 (Augsburg): Demographic Change 145797, Verein für Socialpolitik / German Economic Association.
    13. Costa-Gomes, Miguel A. & Huck, Steffen & Weizsäcker, Georg, 2014. "Beliefs and actions in the trust game: Creating instrumental variables to estimate the causal effect," Games and Economic Behavior, Elsevier, vol. 88(C), pages 298-309.
    14. Berninghaus, Siegfried K. & Haller, Sven & Krüger, Tyll & Neumann, Thomas & Schosser, Stephan & Vogt, Bodo, 2013. "Risk attitude, beliefs, and information in a Corruption Game – An experimental analysis," Journal of Economic Psychology, Elsevier, vol. 34(C), pages 46-60.
    15. Dominik Bauer & Irenaeus Wolff, 2018. "Biases in Beliefs: Experimental Evidence," TWI Research Paper Series 109, Thurgauer Wirtschaftsinstitut, Universität Konstanz.
    16. Sutter, Matthias & Czermak, Simon & Feri, Francesco, 2010. "Strategic Sophistication of Individuals and Teams in Experimental Normal-Form Games," Working Papers in Economics 430, University of Gothenburg, Department of Economics.
    17. 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.
    18. Alex Possajennikov, 2018. "Belief formation in a signaling game without common prior: an experiment," Theory and Decision, Springer, vol. 84(3), pages 483-505, May.
    19. Karl Schlag & James Tremewan & Joël Weele, 2015. "A penny for your thoughts: a survey of methods for eliciting beliefs," Experimental Economics, Springer;Economic Science Association, vol. 18(3), pages 457-490, September.
    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

    Decision-making; beliefs; subjective expectations; experiments;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

    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:usg:econwp:2012:06. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/vwasgch.html .

    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: (email available below). General contact details of provider: https://edirc.repec.org/data/vwasgch.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.