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Never choose the uniquely largest A Characterization


  • Nick Baigent
  • Wulf Gaertner


In this paper we characterize choice behaviour that picks the second largest element if there is a uniquely largest; otherwise, the largest elements are picked. Having defined our choice function, we offer a complete characterization of the latter in terms of pure choice function conditions. Similarities to and divergences from conventional choice theory are explained. We discuss the motivations underlying our exercise and provide several examples for the axiomatized choice behaviour.

Suggested Citation

  • Nick Baigent & Wulf Gaertner, 1996. "Never choose the uniquely largest A Characterization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 239-249.
  • Handle: RePEc:spr:joecth:v:8:y:1996:i:2:p:239-249

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    References listed on IDEAS

    1. Hervé Moulin, 1990. "Joint Ownership of a Convex Technology: Comparison of Three Solutions," Review of Economic Studies, Oxford University Press, vol. 57(3), pages 439-452.
    2. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, September.
    3. Jayasri Dutta & Colin Rowat, 2004. "The Road to Extinction: Commons with Capital Markets," GE, Growth, Math methods 0412001, EconWPA.
    4. Shin, Sungwhee & Suh, Sang-Chul, 1997. "Double Implementation by a Simple Game Form in the Commons Problem," Journal of Economic Theory, Elsevier, vol. 77(1), pages 205-213, November.
    5. Charles D. Kolstad & Lars Mathiesen, 1987. "Necessary and Sufficient Conditions for Uniqueness of a Cournot Equilibrium," Review of Economic Studies, Oxford University Press, vol. 54(4), pages 681-690.
    6. Colin Rowat & Jayasri Dutta, 2007. "The Commons with Capital Markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 225-254, May.
    7. Corominas-Bosch, Margarida, 2004. "Bargaining in a network of buyers and sellers," Journal of Economic Theory, Elsevier, vol. 115(1), pages 35-77, March.
    8. Dockner, Engelbert J. & Sorger, Gerhard, 1996. "Existence and Properties of Equilibria for a Dynamic Game on Productive Assets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 209-227, October.
    9. Paul Seabright, 1993. "Managing Local Commons: Theoretical Issues in Incentive Design," Journal of Economic Perspectives, American Economic Association, vol. 7(4), pages 113-134, Fall.
    10. Christopher J. Ellis & Anne Van Den Nouweland, 2006. "A Mechanism for Inducing Cooperation in Noncooperative Environments: Theory and Applications," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(1), pages 23-47, January.
    11. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer;The Psychometric Society, vol. 18(1), pages 39-43, March.
    12. H. Scott Gordon, 1954. "The Economic Theory of a Common-Property Resource: The Fishery," Journal of Political Economy, University of Chicago Press, vol. 62, pages 124-124.
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    More about this item

    JEL classification:

    • D10 - Microeconomics - - Household Behavior - - - General
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations


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