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Choice without Beliefs

Author

Listed:
  • David Easley
  • Aldo Rustichini

Abstract

This paper provides an axiomatic foundation for decision making in complex settings in which the decision maker does not have complete structural knowledge of the environment. The agent knows the set of actions he can take, he formulates preferences directly on the actions, and chooses according to these preferences. On the basis of experience he modifies these preferences according to a systematic procedure. A group of natural structural restrictions and a group of independence axioms are imposed on this procedure. The main result is an axiomatic foundation for a set of simple adaptive learning procedures which include the replicator dynamic.

Suggested Citation

  • David Easley & Aldo Rustichini, 1999. "Choice without Beliefs," Econometrica, Econometric Society, vol. 67(5), pages 1157-1184, September.
    • Handle: RePEc:ecm:emetrp:v:67:y:1999:i:5:p:1157-1184
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    Citations

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    Cited by:

    1. Kawamura, Enrique, 2005. "Competitive equilibrium with unawareness in economies with production," Journal of Economic Theory, Elsevier, vol. 121(2), pages 167-191, April.
    2. Tilman Börgers & Antonio J. Morales & Rajiv Sarin, 2004. "Expedient and Monotone Learning Rules," Econometrica, Econometric Society, vol. 72(2), pages 383-405, March.
    3. Vierø, Marie-Louise, 2021. "An intertemporal model of growing awareness," Journal of Economic Theory, Elsevier, vol. 197(C).
    4. Albert Marcet & Juan P. Nicolini, 2003. "Recurrent Hyperinflations and Learning," American Economic Review, American Economic Association, vol. 93(5), pages 1476-1498, December.
    5. Dana Heller, 2000. "Parametric Adaptive Learning," Econometric Society World Congress 2000 Contributed Papers 1496, Econometric Society.
    6. Harald Uhlig & Martin Lettau, 1999. "Rules of Thumb versus Dynamic Programming," American Economic Review, American Economic Association, vol. 89(1), pages 148-174, March.
    7. Oyarzun, Carlos & Sarin, Rajiv, 2013. "Learning and risk aversion," Journal of Economic Theory, Elsevier, vol. 148(1), pages 196-225.
    8. John Dickhaut & Radhika Lunawat & Kira Pronin & Jack Stecher, 2011. "Decision making and trade without probabilities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 275-288, October.
    9. Kirman, Alan P. & Vriend, Nicolaas J., 2001. "Evolving market structure: An ACE model of price dispersion and loyalty," Journal of Economic Dynamics and Control, Elsevier, vol. 25(3-4), pages 459-502, March.
    10. Francetich, Alejandro & Kreps, David, 2020. "Choosing a good toolkit, I: Prior-free heuristics," Journal of Economic Dynamics and Control, Elsevier, vol. 111(C).
    11. Agastya, Murali & Slinko, Arkadii, 2015. "Dynamic choice in a complex world," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 232-258.
    12. Weibull, Jörgen W., 1997. "What have we learned from Evolutionary Game Theory so far?," Working Paper Series 487, Research Institute of Industrial Economics, revised 26 Oct 1998.
    13. Rustichini, Aldo, 2003. "Equilibria in large games with continuous procedures," Journal of Economic Theory, Elsevier, vol. 111(2), pages 151-171, August.
    14. Rustichini, Aldo, 1999. "Optimal Properties of Stimulus--Response Learning Models," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 244-273, October.
    15. Eichberger, Jürgen & Guerdjikova, Ani, 2008. "Case-based expected utility : preferences over actions and data," Papers 08-32, Sonderforschungsbreich 504.
    16. Flores-Szwagrzak, Karol, 2022. "Learning by Convex Combination," Working Papers 16-2022, Copenhagen Business School, Department of Economics.
    17. Easley, David & Rustichini, Aldo, 2005. "Optimal guessing: Choice in complex environments," Journal of Economic Theory, Elsevier, vol. 124(1), pages 1-21, September.
    18. Oyarzun, Carlos & Sanjurjo, Adam & Nguyen, Hien, 2017. "Response functions," European Economic Review, Elsevier, vol. 98(C), pages 1-31.
    19. Eichberger, Jürgen & Guerdjikova, Ani, 2008. "Case-Based Expected Utility: Preferences over Actions and Data," Sonderforschungsbereich 504 Publications 08-32, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.

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