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Non-Deteriorating Choice without Full Transitivity

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Author Info
BOSSERT, Walter
SUZUMURA, Kotaro

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Abstract

Although the theory of greatest-element rationalizability and maximal-element rationalizability under general domains and without full transitivity of rationalizing relations is well-developed in the literature, these standard notions of rational choice are often considered to be too demanding. An alternative definition of rationality of choice is that of non-deteriorating choice, which requires that the chosen alternatives must be judged at least as good as a reference alternative. In game theory, this definition is well-known under the name of individual rationality when the reference alternative is construed to be the status quo. This alternative form of rationality of individual and social choice is characterized in this paper on general domains and without full transitivity of rationalizing relations.

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File URL: http://hdl.handle.net/1866/2150
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Publisher Info
Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2006-13.

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Length: 30 pages
Date of creation: 2006
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Handle: RePEc:mtl:montde:2006-13

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Related research
Keywords: Reference-Dendent Choice Individual Rationality Efficiency Coherence Prorties

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Find related papers by JEL classification:
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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  1. Bossert, W. & Sprumont, Y., 2000. "Core Retionalizability in Two-Agent Exchange Economies," Cahiers de recherche 2000-09, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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  2. Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2006. "Rationalizability of choice functions on general domains without full transitivity," Social Choice and Welfare, Springer, vol. 27(3), pages 435-458, December. [Downloadable!] (restricted)
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  3. Suzumura, Kotaro, 1976. "Rational Choice and Revealed Preference," Review of Economic Studies, Blackwell Publishing, vol. 43(1), pages 149-58, February. [Downloadable!] (restricted)
  4. Suzumura, Kotaro, 1977. "Houthakker's axiom in the theory of rational choice," Journal of Economic Theory, Elsevier, vol. 14(2), pages 284-290, April. [Downloadable!] (restricted)
  5. Bossert, W. & Sprumont, Y. & Suzumura, K., 2002. "Maximal-Element Rationalizability," Cahiers de recherche 16-2002, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
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  6. Masatlioglu, Yusufcan & Ok, Efe A., 2005. "Rational choice with status quo bias," Journal of Economic Theory, Elsevier, vol. 121(1), pages 1-29, March. [Downloadable!] (restricted)
  7. Bossert, W. & Sprumont, Y., 2001. "Non-Deteriorating Choice," Cahiers de recherche 2001-01, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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  8. Rubinstein, Ariel & Zhou, Lin, 1999. "Choice problems with a 'reference' point," Mathematical Social Sciences, Elsevier, vol. 37(3), pages 205-209, May. [Downloadable!] (restricted)
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  9. Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-90, November. [Downloadable!] (restricted)
  10. Ray, Indrajit & Zhou, Lin, 2001. "Game Theory via Revealed Preferences," Games and Economic Behavior, Elsevier, vol. 37(2), pages 415-424, November. [Downloadable!] (restricted)
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  11. Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2005. "Consistent Rationalizability," Economica, London School of Economics and Political Science, vol. 72(286), pages 185-200, 05. [Downloadable!] (restricted)
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  12. Bossert, Walter & Sprumont, Yves, 2003. "Efficient and non-deteriorating choice," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 131-142, April. [Downloadable!] (restricted)
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  13. Sprumont, Yves, 2001. "Paretian Quasi-orders: The Regular Two-Agent Case," Journal of Economic Theory, Elsevier, vol. 101(2), pages 437-456, December. [Downloadable!] (restricted)
  14. Sprumont, Yves, 2000. "On the Testable Implications of Collective Choice Theories," Journal of Economic Theory, Elsevier, vol. 93(2), pages 205-232, August. [Downloadable!] (restricted)
  15. Brown, Donald J & Matzkin, Rosa L, 1996. "Testable Restrictions on the Equilibrium Manifold," Econometrica, Econometric Society, vol. 64(6), pages 1249-62, November. [Downloadable!] (restricted)
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