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Median-based extensions of an ordering over a set to the power set: An axiomatic characterization

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  • Nitzan, Shmuel I.
  • Pattanaik, Prasanta K.

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  • Nitzan, Shmuel I. & Pattanaik, Prasanta K., 1984. "Median-based extensions of an ordering over a set to the power set: An axiomatic characterization," Journal of Economic Theory, Elsevier, vol. 34(2), pages 252-261, December.
    • Handle: RePEc:eee:jetheo:v:34:y:1984:i:2:p:252-261
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    1. Walter Bossert & Kotaro Suzumura, 2011. "Rationality, external norms, and the epistemic value of menus," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(4), pages 729-741, October.
    2. Baharad, Eyal & Nitzan, Shmuel, 2003. "Essential alternatives and set-dependent preferences--an axiomatic approach," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 121-129, April.
    3. Arlegi, Ritxar & Dimitrov, Dinko, 2016. "Power set extensions of dichotomous preferences," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 20-29.
    4. Gravel, Nicolas & Marchant, Thierry & Sen, Arunava, 2018. "Conditional expected utility criteria for decision making under ignorance or objective ambiguity," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 79-95.
    5. Aditi Bhattacharyya, 2018. "Median-based Rules for Decision-making under Complete Ignorance," Studies in Microeconomics, , vol. 6(1-2), pages 1-13, June.
    6. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    7. Bossert, Walter, 1997. "Uncertainty aversion in nonprobabilistic decision models," Mathematical Social Sciences, Elsevier, vol. 34(3), pages 191-203, October.
    8. Bossert, W. & Pattanaik, P.K. & Xu, Y., 2001. "The Measurement of Diversity," Cahiers de recherche 2001-17, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    9. Sebastian Bervoets, 2010. "An axiomatic approach to predictability of outcomes in an interactive setting," Theory and Decision, Springer, vol. 68(3), pages 311-323, March.
    10. Ritxar Arlegi, 2001. "Rational Evaluation of Actions Under Complete Uncertainty," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0114, Departamento de Economía - Universidad Pública de Navarra.
    11. Jorge Alcalde-Unzu & Ricardo Arlegi & Miguel Ballester, 2013. "Uncertainty with ordinal likelihood information," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(2), pages 397-425, July.
    12. Arlegi, Ricardo, 2007. "Sequentially consistent rules of choice under complete uncertainty," Journal of Economic Theory, Elsevier, vol. 135(1), pages 131-143, July.
    13. Roberto Lucchetti & Stefano Moretti & Fioravante Patrone, 2015. "Ranking sets of interacting objects via semivalues," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(2), pages 567-590, July.
    14. Ulle Endriss, 2013. "Sincerity and manipulation under approval voting," Theory and Decision, Springer, vol. 74(3), pages 335-355, March.
    15. Aditi Bhattacharyya, 2010. "Median-based Rules for Decision-making under Complete Ignorance," Working Papers 1010, Sam Houston State University, Department of Economics and International Business.
    16. Efe A. Ok & Laurence Kranich, 1998. "The measurement of opportunity inequality: a cardinality-based approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(2), pages 263-287.
    17. Oliwia Szczupska, 2013. "Normative Properties of Approval Voting - an Experimental Approach," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 32, pages 33-42.
    18. Bossert, Walter, 2000. "Opportunity sets and uncertain consequences1," Journal of Mathematical Economics, Elsevier, vol. 33(4), pages 475-496, May.
    19. Eric Kamwa & Vincent Merlin, 2018. "Coincidence of Condorcet committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 171-189, January.
    20. Alós-Ferrer, Carlos & Buckenmaier, Johannes, 2019. "Strongly sincere best responses under approval voting and arbitrary preferences," Games and Economic Behavior, Elsevier, vol. 117(C), pages 388-401.
    21. BOSSERT, Walter & SLINKO, Arkadii, 2004. "Relative Uncertainty and Additively Representable Set Rankings," Cahiers de recherche 2004-13, Universite de Montreal, Departement de sciences economiques.
    22. Amélie Vrijdags, 2013. "Min- and Max-induced rankings: an experimental study," Theory and Decision, Springer, vol. 75(2), pages 233-266, August.
    23. Gekker, Ruvin & van Hees, Martin, 2006. "Freedom, opportunity and uncertainty: A logical approach," Journal of Economic Theory, Elsevier, vol. 130(1), pages 246-263, September.
    24. Walter Bossert, 1998. "Opportunity Sets and the Measurement of Information," Discussion Papers 98/6, University of Nottingham, School of Economics.

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