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Non-Deteriorating Choice

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  • BOSSERT, Walter
  • SPRUMONT, Yves

Abstract

We analyze an alternative to the standard rationalizability requirement for observed choices by considering non-deteriorating selections. A selection function is a generalization of a choice function where selected alternatives may depend on a reference (or status quo) alternative in addition to the set of feasible options. A selection function is non-deteriorating if there exists an ordering over the universal set of alternatives such that the selected alternatives are at least as good as the reference option. We characterize non-deteriorating selection functions in an abstract framework and in an economic environment.

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File URL: http://hdl.handle.net/1866/342
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Bibliographic Info

Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2001-01.

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Length: 18 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:mtl:montde:2001-01

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Keywords: choice functions; individual rationality; status quo;

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References

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  1. BOSSERT, Walter & SPRUMONT, Yves, 2000. "Core Retionalizability in Two-Agent Exchange Economies," Cahiers de recherche 2000-09, Universite de Montreal, Departement de sciences economiques.
  2. Sen, Amartya K, 1971. "Choice Functions and Revealed Preference," Review of Economic Studies, Wiley Blackwell, vol. 38(115), pages 307-17, July.
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Citations

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Cited by:
  1. Manzini, Paola & Mariotti, Marco & Tyson, Christopher J., 2011. "Manipulation of Choice Behavior," IZA Discussion Papers 5891, Institute for the Study of Labor (IZA).
  2. Jose Apesteguia & Miguel Ballester, 2009. "Choice by Sequential Procedures," NajEcon Working Paper Reviews 814577000000000404, www.najecon.org.
  3. Indra Ray & Susan Snyder, 2003. "Observable Implications of Nash and Subgame-Perfect Behavior in Extensive Games," Working Papers 2003-02, Brown University, Department of Economics.
  4. Donald Wittman, 2008. "Is Status Quo Bias Consistent With Downward-Sloping Demand?," Economic Inquiry, Western Economic Association International, vol. 46(2), pages 283-288, 04.
  5. BOSSERT, Walter & SUZUMURA, Kotaro, 2006. "Non-Deteriorating Choice without Full Transitivity," Cahiers de recherche 2006-13, Universite de Montreal, Departement de sciences economiques.
  6. Jose Apesteguia & Miguel A. Ballester, 2007. "A theory of reference-dependent behavior," Economics Working Papers 1056, Department of Economics and Business, Universitat Pompeu Fabra.
  7. Bossert, Walter & Sprumont, Yves, 2003. "Efficient and non-deteriorating choice," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 131-142, April.
  8. Demuynck, Thomas, 2009. "A general extension result with applications to convexity, homotheticity and monotonicity," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 96-109, January.
  9. T. Demuynck, 2006. "Existence of closed and complete extensions applied to convex, homothetic an monotonic orderings," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 06/407, Ghent University, Faculty of Economics and Business Administration.
  10. Özgür Kıbrıs, 2012. "A revealed preference analysis of solutions to simple allocation problems," Theory and Decision, Springer, vol. 72(4), pages 509-523, April.

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