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Luce arbitrates: Stochastic resolution of inner conflicts

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  • Heydari, Pedram

Abstract

I propose and axiomatically characterize a multi-attribute stochastic choice model that simultaneously generalizes the standard model of deterministic choice and the Luce rule. Attributes are cardinal, independent measures of desirability that are endogenously inferred from observed choices, and thus subjective. An alternative is chosen with a positive probability from a menu if and only if it is undominated attribute-wise in that menu. The model leads to the context-dependent evaluation of alternatives by assigning every menu a distinct reference point against which the menu alternatives are re-evaluated. The reference point of every menu takes the minimum values of attributes in that menu. The model can accommodate the well-known attraction and compromise effects by linking them to diminishing sensitivity to the attributes and complementarity between them. At the end, I discuss an application of the model in strategic settings and derive an analogue of the attraction effect in games.

Suggested Citation

  • Heydari, Pedram, 2021. "Luce arbitrates: Stochastic resolution of inner conflicts," Games and Economic Behavior, Elsevier, vol. 126(C), pages 33-74.
    • Handle: RePEc:eee:gamebe:v:126:y:2021:i:c:p:33-74
    DOI: 10.1016/j.geb.2020.11.009
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    as
    1. Simonson, Itamar, 1989. "Choice Based on Reasons: The Case of Attraction and Compromise Effects," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 16(2), pages 158-174, September.
    2. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    3. John D. Hey & Chris Orme, 2018. "Investigating Generalizations Of Expected Utility Theory Using Experimental Data," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 3, pages 63-98, World Scientific Publishing Co. Pte. Ltd..
    4. Hausman, Jerry & McFadden, Daniel, 1984. "Specification Tests for the Multinomial Logit Model," Econometrica, Econometric Society, vol. 52(5), pages 1219-1240, September.
    5. 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.
    6. Harry Markowitz, 1952. "The Utility of Wealth," Journal of Political Economy, University of Chicago Press, vol. 60, pages 151-151.
    7. Herne, Kaisa, 1997. "Decoy alternatives in policy choices: Asymmetric domination and compromise effects," European Journal of Political Economy, Elsevier, vol. 13(3), pages 575-589, September.
    8. , & ,, 2012. "Reason-based choice: a bargaining rationale for the attraction and compromise effects," Theoretical Economics, Econometric Society, vol. 7(1), January.
    9. Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva & Gil Riella, 2019. "Deliberately Stochastic," American Economic Review, American Economic Association, vol. 109(7), pages 2425-2445, July.
      • Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva & Gil Riella, 2012. "Deliberately Stochastic," PIER Working Paper Archive 17-013, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 25 May 2017.
    10. Huber, Joel & Puto, Christopher, 1983. "Market Boundaries and Product Choice: Illustrating Attraction and Substitution Effects," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 10(1), pages 31-44, June.
    11. Paola Manzini & Marco Mariotti & Luigi Mittone, 2010. "Choosing monetary sequences: theory and experimental evidence," Theory and Decision, Springer, vol. 69(3), pages 327-354, September.
    12. John D. Hey, 2018. "Does Repetition Improve Consistency?," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 2, pages 13-62, World Scientific Publishing Co. Pte. Ltd..
    13. 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..
    14. Small, Kenneth A & Hsiao, Cheng, 1985. "Multinomial Logit Specification Tests," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 619-627, October.
    15. Drew Fudenberg & Ryota Iijima & Tomasz Strzalecki, 2015. "Stochastic Choice and Revealed Perturbed Utility," Econometrica, Econometric Society, vol. 83, pages 2371-2409, November.
    16. Camerer, Colin F, 1989. "Does the Basketball Market Believe in the 'Hot Hand'?," American Economic Review, American Economic Association, vol. 79(5), pages 1257-1261, December.
    17. Tserenjigmid, Gerelt, 2019. "Choosing with the worst in mind: A reference-dependent model," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 631-652.
    18. Sippel, Reinhard, 1997. "An Experiment on the Pure Theory of Consumer's Behaviour," Economic Journal, Royal Economic Society, vol. 107(444), pages 1431-1444, September.
    19. Masatlioglu, Yusufcan & Uler, Neslihan, 2013. "Understanding the reference effect," Games and Economic Behavior, Elsevier, vol. 82(C), pages 403-423.
    20. Kathryn M. Sharpe & Richard Staelin & Joel Huber, 2008. "Using Extremeness Aversion to Fight Obesity: Policy Implications of Context Dependent Demand," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 35(3), pages 406-422, April.
    21. Marina Agranov & Pietro Ortoleva, 2017. "Stochastic Choice and Preferences for Randomization," Journal of Political Economy, University of Chicago Press, vol. 125(1), pages 40-68.
    22. Faruk Gul & Paulo Natenzon & Wolfgang Pesendorfer, 2014. "Random Choice as Behavioral Optimization," Econometrica, Econometric Society, vol. 82, pages 1873-1912, September.
    23. Richard L. Brady & John Rehbeck, 2016. "Menu‐Dependent Stochastic Feasibility," Econometrica, Econometric Society, vol. 84, pages 1203-1223, May.
    24. Huber, Joel & Payne, John W & Puto, Christopher, 1982. "Adding Asymmetrically Dominated Alternatives: Violations of Regularity and the Similarity Hypothesis," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 9(1), pages 90-98, June.
    25. Machina, Mark J, 1985. "Stochastic Choice Functions Generated from Deterministic Preferences over Lotteries," Economic Journal, Royal Economic Society, vol. 95(379), pages 575-594, September.
    26. Ariely, Dan & Wallsten, Thomas S., 1995. "Seeking Subjective Dominance in Multidimensional Space: An Explanation of the Asymmetric Dominance Effect," Organizational Behavior and Human Decision Processes, Elsevier, vol. 63(3), pages 223-232, September.
    27. Eliaz, Kfir & Ok, Efe A., 2006. "Indifference or indecisiveness? Choice-theoretic foundations of incomplete preferences," Games and Economic Behavior, Elsevier, vol. 56(1), pages 61-86, July.
    28. Kaisa Herne, 1999. "The Effects of Decoy Gambles on Individual Choice," Experimental Economics, Springer;Economic Science Association, vol. 2(1), pages 31-40, August.
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    More about this item

    Keywords

    Stochastic choice; Luce rule; Context dependence; The attraction effect; The compromise effect; Reference dependence; Conflicting motives; Multi-attribute decisions; Game theory;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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