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Uncovered set choice rules

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Abstract

I study necessary and sufficient conditions for a choice function to be rationalized in the following sense: there exists a total asymmetric relation T (a tournament) such that, for each feasible (finite) set, the choice set coincides with the uncovered set of T restricted to that feasible set. This notion of ‘maximization’ offers testable restrictions on observable choice behavior.

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References

  • Bar-Hillel M and Margalit A (1988). How vicious are cycles of intransitive choice? Theory Decis 24(2): 119–145

    Article  Google Scholar 

  • Dutta B (1988). Covering sets and a new condorcet choice correspondence. J Econ Theory 44(1): 63–80

    Article  Google Scholar 

  • Ehlers L, Sprumont Y (2007) Weakened WARP and top-cycle choice rules. J Math Econ (forthcoming)

  • Fishburn PC and LaValle IH (1988). Context-dependent choice with nonlinear and nontransitive preferences. Econometrica 56(5): 1221–1239

    Article  Google Scholar 

  • Fishburn PC (1991). Nontransitive preferences in decision theory. J Risk Uncertainty 4(2): 113–134

    Article  Google Scholar 

  • Laslier J-F (1997). Tournament solutions and majority voting. Vol 7 in the series studies in economic theory. Springer, Heidelberg

    Google Scholar 

  • Manzini P, Mariotti M (2007) Sequentially rationalizable choice. Am Econ Rev (forthcoming)

  • May OK (1954). Intransitivity, utility and the aggregation of preference patterns. Econometrica 22(1): 1–13

    Article  Google Scholar 

  • Miller NR (1977). Graph-theoretical approaches to the theory of voting. Am J Polit Sci 21(4): 769–803

    Article  Google Scholar 

  • Miller NR (1980). A new solution set for tournaments and majority: further graph-theoretical approaches to the theory of voting. Am J Polit Sci 24(1): 68–96

    Article  Google Scholar 

  • Moulin H (1986). Choosing from a Tournament. Soc Choice Welf 3(4): 271–291

    Article  Google Scholar 

  • Russo JE and Dosher BA (1983). Strategies for multiattribute binary choice. J Exp Psychol Learn, Memory Cogni 9(4): 676–696

    Article  Google Scholar 

  • Sen AK (1970) Collective choice and social welfare. Oliver and Boyd Edinburg

  • Suzumura K (1983). Rational choice, collective decisions, and social welfare. Cambridge University Press, Cambridge

    Google Scholar 

  • Zhang J, Hsee CK and Xiao Z (2006). The majority rule in individual decision making. Organ Behav Hum Decis Process 99(1): 102–111

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Economics, Queen Mary, University of London, Mile End Road, London, E1 4NS, England

    Michele Lombardi

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  1. Michele Lombardi
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Correspondence to Michele Lombardi.

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Lombardi, M. Uncovered set choice rules. Soc Choice Welfare 31, 271–279 (2008). https://doi.org/10.1007/s00355-007-0281-9

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  • DOI: https://doi.org/10.1007/s00355-007-0281-9

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