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Enveloped choice functions and path-independent rationality

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  • Gleb Koshevoy
  • Ernesto Savaglio

Abstract

We analyse the rationality of a Decision Maker (DM) who chooses from lists of sets of alternatives. We show that the DM's choice behaviour, rep-resented by a choice function f dened on such lists, can be `improved' bya two-step procedure. We rst construct the list-envelop of f that is the union of all choice sets induced by f on every possible partition (lists) of a set of alternatives. Then, we take among the list-envelop choice functionsthose that are Plott functions (see [4]) and characterize such a family by using a suitable property, allowing a DM to disregard alternatives that are worthless for the choice process. Then, using a rule that breaks the ties that could occur in every choice set, we characterize the set of Plott functions that has a prescribed shelling (see (5) below) of the choice sets. Finally, we study the 'relational system' that satises some compelling properties and rationalizes the class of choice functions studied in the present work.

Suggested Citation

  • Gleb Koshevoy & Ernesto Savaglio, 2017. "Enveloped choice functions and path-independent rationality," Department of Economics University of Siena 765, Department of Economics, University of Siena.
    • Handle: RePEc:usi:wpaper:765
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    1. Paola Manzini & Marco Mariotti, 2012. "Categorize Then Choose: Boundedly Rational Choice And Welfare," Journal of the European Economic Association, European Economic Association, vol. 10(5), pages 1141-1165, October.
    2. Amos Tversky & Daniel Kahneman, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 1039-1061.
    3. Masatlioglu, Yusufcan & Ok, Efe A., 2005. "Rational choice with status quo bias," Journal of Economic Theory, Elsevier, vol. 121(1), pages 1-29, March.
    4. 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.
    5. Puppe, Clemens, 1996. "An Axiomatic Approach to "Preference for Freedom of Choice"," Journal of Economic Theory, Elsevier, vol. 68(1), pages 174-199, January.
    6. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    7. Roth, Alvin E, 1984. "Stability and Polarization of Interests in Job Matching," Econometrica, Econometric Society, vol. 52(1), pages 47-57, January.
    8. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-1091, November.
    9. Sagi, Jacob S., 2006. "Anchored preference relations," Journal of Economic Theory, Elsevier, vol. 130(1), pages 283-295, September.
    10. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    11. V. Danilov & G. Koshevoy & E. Savaglio, 2015. "Hyper-relations, choice functions, and orderings of opportunity sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 51-69, June.
    12. , & ,, 2006. "A model of choice from lists," Theoretical Economics, Econometric Society, vol. 1(1), pages 3-17, March.
    13. ,, 2016. "List-rationalizable choice," Theoretical Economics, Econometric Society, vol. 11(2), May.
    14. Dean, Mark & Kıbrıs, Özgür & Masatlioglu, Yusufcan, 2017. "Limited attention and status quo bias," Journal of Economic Theory, Elsevier, vol. 169(C), pages 93-127.
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    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

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