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Rationality and Order-Dependent Sequential Rationality

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  • HOUY NICOLAS

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Abstract

We show that an individual using a choice function is sequentially rational and the decisions he makes are independent of the order of implementation of the rationales if and only if he is rational with the union of the rationales as a base binary relation. When he makes his decisions following a choice correspondence, the sufficiency part of this claim still holds, the necessity part of it does not. Copyright Springer Science+Business Media, LLC 2007

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File URL: http://hdl.handle.net/10.1007/s11238-006-9016-0
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Bibliographic Info

Article provided by Springer in its journal Theory and Decision.

Volume (Year): 62 (2007)
Issue (Month): 2 (March)
Pages: 119-134

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Handle: RePEc:kap:theord:v:62:y:2007:i:2:p:119-134

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Web page: http://www.springerlink.com/link.asp?id=100341

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Keywords: order dependent choices; rationality; sequential rationality; D0;

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References

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  1. Moulin, Herve, 1994. "Social choice," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 31, pages 1091-1125 Elsevier.
  2. Tadenuma, Koichi, 2002. "Efficiency First or Equity First? Two Principles and Rationality of Social Choice," Journal of Economic Theory, Elsevier, vol. 104(2), pages 462-472, June.
  3. Gil Kalai & Ariel Rubenstein & Ran Spiegler, 2001. "Rationalizing Choice Functions by Multiple Rationales," Economics Working Papers 0010, Institute for Advanced Study, School of Social Science.
  4. Paola Manzini & Marco Mariotti, 2004. "Rationalizing Boundedly Rational Choice," Microeconomics 0407005, EconWPA, revised 21 Jul 2005.
  5. 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.
  6. James M. Buchanan, 1954. "Individual Choice in Voting and the Market," Journal of Political Economy, University of Chicago Press, vol. 62, pages 334.
  7. Paola Manzini & Marco Mariotti, 2005. "Shortlisting," Public Economics 0503006, EconWPA, revised 14 Jul 2005.
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Citations

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Cited by:
  1. Houy Nicolas, 2008. "Choice Functions with States of Mind," Theory and Decision, Springer, vol. 65(1), pages 1-26, August.
  2. Nicolas Houy, 2008. "Progressive knowledge revealed preferences and sequential rationalizability," Working Papers hal-00360546, HAL.
  3. Nicolas Houy, 2008. "Prudent choices and rationality," Working Papers hal-00360518, HAL.
  4. Houy, Nicolas, 2011. "A refinement of prudent choices," Mathematical Social Sciences, Elsevier, vol. 61(3), pages 166-169, May.
  5. Houy, Nicolas & Tadenuma, Koichi, 2009. "Lexicographic compositions of multiple criteria for decision making," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1770-1782, July.
  6. Sandroni, Alvaro & Cherepavov, Vadim & Feddersen, Timothy, 2013. "Rationalization," Theoretical Economics, Econometric Society, vol. 8(3), September.
  7. Matsuki, Jun & Tadenuma, Koichi, 2013. "Choice via Grouping Procedures," Discussion Papers 2013-08, Graduate School of Economics, Hitotsubashi University.
  8. Nicolas Houy, 2008. "A refinement of prudent choices," Working Papers hal-00360523, HAL.
  9. Demuynck, Thomas, 2011. "The computational complexity of rationalizing boundedly rational choice behavior," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 425-433.

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