IDEAS home Printed from https://ideas.repec.org/p/luc/wpaper/15-18.html
   My bibliography  Save this paper

Endogeneous Quantal Response Equilibrium for Normal Form Games

Author

Listed:
  • Oswaldo Gressani

    (CREA, Université de Luxembourg)

Abstract

We develop an equilibrium concept coined Endogeneous Quantal Response Equilibrium (EQRE) based on heterogeneous players and endogeneous learning in a logistic quantal choice model. Each player has an asymptotically consistent estimate of his rival's rationality index and is able to choose his own rationality level according to a cost-benefit tradeoff This approach allows to enrich bounded rationality models by incorporating heterogeneous skills and by bridging the gap between stylized facts on the rationality index dynamics and a learning dimension.

Suggested Citation

  • Oswaldo Gressani, 2015. "Endogeneous Quantal Response Equilibrium for Normal Form Games," DEM Discussion Paper Series 15-18, Department of Economics at the University of Luxembourg.
  • Handle: RePEc:luc:wpaper:15-18
    as

    Download full text from publisher

    File URL: https://wwwen-archive.uni.lu/content/download/86130/1054931/file/2015_18%20Endogeneous%20Quantal%20Response%20Equilibrium%20for%20Normal%20Form%20Games.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Rosenthal, Robert W, 1989. "A Bounded-Rationality Approach to the Study of Noncooperative Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(3), pages 273-291.
    2. Joseph Persky, 1995. "The Ethology of Homo Economicus," Journal of Economic Perspectives, American Economic Association, vol. 9(2), pages 221-231, Spring.
    3. Philip A. Haile & Ali Hortaçsu & Grigory Kosenok, 2008. "On the Empirical Content of Quantal Response Equilibrium," American Economic Review, American Economic Association, vol. 98(1), pages 180-200, March.
    4. Rogers, Brian W. & Palfrey, Thomas R. & Camerer, Colin F., 2009. "Heterogeneous quantal response equilibrium and cognitive hierarchies," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1440-1467, July.
    5. Gladys López-Acevedo, 1997. "Quantal response equilibria for posted offer-markets," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 12(2), pages 95-131.
    6. 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.
    7. McKelvey, Richard D & Palfrey, Thomas R, 1992. "An Experimental Study of the Centipede Game," Econometrica, Econometric Society, vol. 60(4), pages 803-836, July.
    8. Moinas, Sophie & Pouget, Sébastien, 2009. "Rational and Irrational Bubbles: an Experiment," TSE Working Papers 09-045, Toulouse School of Economics (TSE).
    9. Jacob Goeree & Charles Holt & Thomas Palfrey, 2005. "Regular Quantal Response Equilibrium," Experimental Economics, Springer;Economic Science Association, vol. 8(4), pages 347-367, December.
    10. Anderson, Simon P. & Goeree, Jacob K. & Holt, Charles A., 2001. "Minimum-Effort Coordination Games: Stochastic Potential and Logit Equilibrium," Games and Economic Behavior, Elsevier, vol. 34(2), pages 177-199, February.
    11. Syngjoo Choi & Douglas Gale & Shachar Kariv, 2012. "Social learning in networks: a Quantal Response Equilibrium analysis of experimental data," Review of Economic Design, Springer;Society for Economic Design, vol. 16(2), pages 135-157, September.
    12. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 69(1), pages 99-118.
    13. Goeree, Jacob K. & Holt, Charles A., 2000. "Asymmetric inequality aversion and noisy behavior in alternating-offer bargaining games," European Economic Review, Elsevier, vol. 44(4-6), pages 1079-1089, May.
    14. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 1998. "Rent Seeking with Bounded Rationality: An Analysis of the All-Pay Auction," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 225-250, Springer.
    15. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 861-898.
    16. Tversky, Amos & Kahneman, Daniel, 1986. "Rational Choice and the Framing of Decisions," The Journal of Business, University of Chicago Press, vol. 59(4), pages 251-278, October.
    17. Rapoport, Amnon & Boebel, Richard B., 1992. "Mixed strategies in strictly competitive games: A further test of the minimax hypothesis," Games and Economic Behavior, Elsevier, vol. 4(2), pages 261-283, April.
    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. Gressani, O., 2015. "Endogeneous Quantal Response Equilibrium for Normal Form Games," LIDAM Discussion Papers CORE 2015053, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Philip A. Haile & Ali Hortaçsu & Grigory Kosenok, 2008. "On the Empirical Content of Quantal Response Equilibrium," American Economic Review, American Economic Association, vol. 98(1), pages 180-200, March.
    3. Yefen Chen & Xuanming Su & Xiaobo Zhao, 2012. "Modeling Bounded Rationality in Capacity Allocation Games with the Quantal Response Equilibrium," Management Science, INFORMS, vol. 58(10), pages 1952-1962, October.
    4. Zhang, Boyu & Hofbauer, Josef, 2016. "Quantal response methods for equilibrium selection in 2×2 coordination games," Games and Economic Behavior, Elsevier, vol. 97(C), pages 19-31.
    5. Rodrigo A. Velez & Alexander L. Brown, 2018. "Empirical Equilibrium," Papers 1804.07986, arXiv.org, revised Jul 2020.
    6. He, Simin & Wu, Jiabin, 2020. "Compromise and coordination: An experimental study," Games and Economic Behavior, Elsevier, vol. 119(C), pages 216-233.
    7. Benjamin Patrick Evans & Mikhail Prokopenko, 2024. "Bounded rationality for relaxing best response and mutual consistency: the quantal hierarchy model of decision making," Theory and Decision, Springer, vol. 96(1), pages 71-111, February.
    8. Jacob K. Goeree & Charles A. Holt, 2001. "Ten Little Treasures of Game Theory and Ten Intuitive Contradictions," American Economic Review, American Economic Association, vol. 91(5), pages 1402-1422, December.
    9. Benjamin Patrick Evans & Mikhail Prokopenko, 2021. "Bounded rationality for relaxing best response and mutual consistency: The Quantal Hierarchy model of decision-making," Papers 2106.15844, arXiv.org, revised Mar 2023.
    10. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 2002. "The Logit Equilibrium: A Perspective on Intuitive Behavioral Anomalies," Southern Economic Journal, John Wiley & Sons, vol. 69(1), pages 21-47, July.
    11. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2010. "Strategic Thinking," Levine's Working Paper Archive 661465000000001148, David K. Levine.
    12. Jacob Goeree & Charles Holt & Thomas Palfrey, 2005. "Regular Quantal Response Equilibrium," Experimental Economics, Springer;Economic Science Association, vol. 8(4), pages 347-367, December.
    13. Miguel A Costa-Gomes & Vincent P Crawford & Nagore Iriberri, 2008. "Comparing Models of Strategic Thinking in Van Huyck, Battalio, and Beil’s Coordination Games," Levine's Working Paper Archive 122247000000002346, David K. Levine.
    14. Bendoly, Elliot & van Wezel, Wout & Bachrach, Daniel G. (ed.), 2015. "The Handbook of Behavioral Operations Management: Social and Psychological Dynamics in Production and Service Settings," OUP Catalogue, Oxford University Press, number 9780199357222.
    15. Ioannou, Christos A. & Qi, Shi & Rustichini, Aldo, 2013. "A test of stability in a linear altruism model," Economics Letters, Elsevier, vol. 121(1), pages 85-89.
    16. Breitmoser, Yves, 2010. "Hierarchical Reasoning versus Iterated Reasoning in p-Beauty Contest Guessing Games," MPRA Paper 19893, University Library of Munich, Germany.
    17. Wang, Bingtong & Li, Zhibin & Wang, Shunchao & Li, Meng & Ji, Ang, 2022. "Modeling bounded rationality in discretionary lane change with the quantal response equilibrium of game theory," Transportation Research Part B: Methodological, Elsevier, vol. 164(C), pages 145-161.
    18. Georganas, Sotiris, 2011. "English auctions with resale: An experimental study," Games and Economic Behavior, Elsevier, vol. 73(1), pages 147-166, September.
    19. Alexander L. Brown & Rodrigo A. Velez, 2019. "Empirical bias and efficiency of alpha-auctions: experimental evidence," Papers 1905.03876, arXiv.org, revised Jul 2020.
    20. Alan Kirman & François Laisney & Paul Pezanis-Christou, 2023. "Relaxing the symmetry assumption in participation games: a specification test for cluster-heterogeneity," Experimental Economics, Springer;Economic Science Association, vol. 26(4), pages 850-878, September.

    More about this item

    Keywords

    Quantal Response Equilibrium; bounded rationality; learning;
    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:luc:wpaper:15-18. 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: Marina Legrand (email available below). General contact details of provider: https://edirc.repec.org/data/crcrplu.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.