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A note on the extension of an order on a set to the power set

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Cited by:

  1. Banerjee A., 1996. "Choice between opportunity sets: A characterization of welfarist behaviour," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 56-56, February.
  2. Nicolas Gravel & Thierry Marchant, 2022. "Rank Dependent Weighted Average Utility Models for Decision Making under Ignorance or Objective Ambiguity," AMSE Working Papers 2223, Aix-Marseille School of Economics, France.
  3. 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.
  4. Encarnación Algaba & Stefano Moretti & Eric Rémila & Philippe Solal, 2021. "Lexicographic solutions for coalitional rankings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(4), pages 817-849, November.
  5. 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.
  6. Cato, Susumu, 2012. "A note on the extension of a binary relation on a set to the power set," Economics Letters, Elsevier, vol. 116(1), pages 46-48.
  7. Podinovski, Vladislav V., 2010. "Set choice problems with incomplete information about the preferences of the decision maker," European Journal of Operational Research, Elsevier, vol. 207(1), pages 371-379, November.
  8. 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.
  9. Salvador Barberà & Danilo Coelho, 2008. "How to choose a non-controversial list with k names," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 79-96, June.
  10. Ballester, Miguel A. & de Miguel, Juan R. & Nieto, Jorge, 2004. "Set comparisons in a general domain: the Indirect Utility Criterion," Mathematical Social Sciences, Elsevier, vol. 48(2), pages 139-150, September.
  11. 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.
  12. Walter Bossert & Kotaro Suzumura, 2012. "Revealed preference and choice under uncertainty," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 247-258, March.
  13. Vázquez, Carmen, 2014. "Ranking opportunity sets on the basis of similarities of preferences: A proposal," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 23-26.
  14. Klaus Nehring, 2003. "Preference for Flexibility and Freedom of Choice in a Savage Framework," Working Papers 51, University of California, Davis, Department of Economics.
  15. Minehart, Deborah & Neeman, Zvika, 2002. "Effective Siting of Waste Treatment Facilities," Journal of Environmental Economics and Management, Elsevier, vol. 43(2), pages 303-324, March.
  16. Dinko Dimitrov & Ruud Hendrickx & Peter Borm, 2004. "Good and bad objects: the symmetric difference rule," Economics Bulletin, AccessEcon, vol. 4(11), pages 1-7.
  17. 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.
  18. Nhan-Tam Nguyen & Dorothea Baumeister & Jörg Rothe, 2018. "Strategy-proofness of scoring allocation correspondences for indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 101-122, January.
  19. Bossert, Walter, 1997. "Uncertainty aversion in nonprobabilistic decision models," Mathematical Social Sciences, Elsevier, vol. 34(3), pages 191-203, October.
  20. Barberà, S. & Dutta, B., 1995. "Protective behavior in matching models," Games and Economic Behavior, Elsevier, vol. 8(2), pages 281-296.
  21. Kaushik Basu, 1996. "Bargaining with set-valued disagreement," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 61-74, January.
  22. BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques.
  23. Moti Michaeli, 2014. "Riskiness for sets of gambles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 515-547, August.
  24. Shmuel Nitzan, 1985. "The vulnerability of point-voting schemes to preference variation and strategic manipulation," Public Choice, Springer, vol. 47(2), pages 349-370, January.
  25. Harrison-Trainor, Matthew & Holliday, Wesley H. & Icard, Thomas F., 2018. "Inferring probability comparisons," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 62-70.
  26. Ran Spiegler, 2001. "Inferring a linear ordering over a power set," Theory and Decision, Springer, vol. 51(1), pages 31-49, August.
  27. Ariel Rubinstein, 2005. "Lecture Notes in Microeconomic Theory: The Economic Agent," Levine's Bibliography 618897000000001006, UCLA Department of Economics.
  28. Özyurt, Selçuk & Sanver, M. Remzi, 2009. "A general impossibility result on strategy-proof social choice hyperfunctions," Games and Economic Behavior, Elsevier, vol. 66(2), pages 880-892, July.
  29. Salvador Barberà & Danilo Coelho, 2024. "Mechanisms to Appoint Arbitrator Panels or Sets of Judges by Compromise Between Concerned Parties," Working Papers 1442, Barcelona School of Economics.
  30. Takahiro Suzuki & Masahide Horita, 2023. "A Society Can Always Decide How to Decide: A Proof," Group Decision and Negotiation, Springer, vol. 32(5), pages 987-1023, October.
  31. Flores-Szwagrzak, Karol, 2022. "Learning by Convex Combination," Working Papers 16-2022, Copenhagen Business School, Department of Economics.
  32. Aditi Bhattacharyya, 2018. "Median-based Rules for Decision-making under Complete Ignorance," Studies in Microeconomics, , vol. 6(1-2), pages 1-13, June.
  33. Bossert, Walter, 2000. "Opportunity sets and uncertain consequences1," Journal of Mathematical Economics, Elsevier, vol. 33(4), pages 475-496, May.
  34. Shin Sato, 2008. "On strategy-proof social choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 331-343, August.
  35. KayI, Çagatay & Ramaekers, Eve, 2010. "Characterizations of Pareto-efficient, fair, and strategy-proof allocation rules in queueing problems," Games and Economic Behavior, Elsevier, vol. 68(1), pages 220-232, January.
  36. Ok, Efe A., 1997. "On Opportunity Inequality Measurement," Journal of Economic Theory, Elsevier, vol. 77(2), pages 300-329, December.
  37. Hiroki Nishimura & Efe A. Ok, 2023. "Best Complete Approximations of Preference Relations," Papers 2311.06641, arXiv.org.
  38. Selçuk Özyurt & M. Sanver, 2008. "Strategy-proof resolute social choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 89-101, January.
  39. Carlos Alós-Ferrer & Johannes Buckenmaier, 2018. "Strictly sincere best responses under approval voting and arbitrary preferences," ECON - Working Papers 302, Department of Economics - University of Zurich.
  40. 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.
  41. Walter Bossert & Conchita D’Ambrosio & Kohei Kamaga, 2021. "Extreme Values, Means, and Inequality Measurement," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 67(3), pages 564-590, September.
  42. Emre Doğan & M. Sanver, 2008. "Arrovian impossibilities in aggregating preferences over non-resolute outcomes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 495-506, April.
  43. Ballester, Miguel A. & De Miguel, Juan R., 2006. "On freedom of choice and infinite sets: The Suprafinite Rule," Journal of Mathematical Economics, Elsevier, vol. 42(3), pages 291-300, June.
  44. Dimitrov, D.A. & Borm, P.E.M. & Hendrickx, R.L.P., 2003. "Good and Bad Objects : Cardinality-Based Rules," Discussion Paper 2003-49, Tilburg University, Center for Economic Research.
  45. Grabiszewski Konrad, 2016. "On the Rejectability of the Subjective Expected Utility Theory," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 16(2), pages 437-454, June.
  46. Amit Kothiyal & Vitalie Spinu & Peter P. Wakker, 2014. "Average Utility Maximization: A Preference Foundation," Operations Research, INFORMS, vol. 62(1), pages 207-218, February.
  47. Stefan Maus & Hans Peters & Ton Storcken, 2006. "Strategy-proof voting for single issues and cabinets," Public Choice, Springer, vol. 126(1), pages 27-43, January.
  48. Arlegi, Ricardo, 2007. "Sequentially consistent rules of choice under complete uncertainty," Journal of Economic Theory, Elsevier, vol. 135(1), pages 131-143, July.
  49. 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.
  50. 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.
  51. Fishburn, Peter C. & LaValle, Irving H., 1996. "Binary interactions and subset choice," European Journal of Operational Research, Elsevier, vol. 92(1), pages 182-192, July.
  52. Ulle Endriss, 2013. "Sincerity and manipulation under approval voting," Theory and Decision, Springer, vol. 74(3), pages 335-355, March.
  53. Giulia Bernardi & Roberto Lucchetti & Stefano Moretti, 2019. "Ranking objects from a preference relation over their subsets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(4), pages 589-606, April.
  54. Alan Krause, 2008. "Ranking opportunity sets in a simple intertemporal framework," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(1), pages 147-154, April.
  55. BOSSERT, Walter & SLINKO, Arkadii, 2004. "Relative Uncertainty and Additively Representable Set Rankings," Cahiers de recherche 2004-13, Universite de Montreal, Departement de sciences economiques.
  56. Fuad Aleskerov & Daniel Karabekyan & Remzi Sanver & Vyacheslav Yakuba, 2009. "Evaluating the Degree of Manipulability of Certain Aggregation Procedures under Multiple Choices," Journal of the New Economic Association, New Economic Association, issue 1-2, pages 37-61.
  57. 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.
  58. Bora Erdamar & M. Sanver, 2009. "Choosers as extension axioms," Theory and Decision, Springer, vol. 67(4), pages 375-384, October.
  59. Susanne Fuchs-Seliger, 2012. "Order extensions, budget correspondences, and rational choice," Theory and Decision, Springer, vol. 72(4), pages 431-444, April.
  60. Kerber, Manfred & Lange, Christoph & Rowat, Colin, 2016. "An introduction to mechanized reasoning," Journal of Mathematical Economics, Elsevier, vol. 66(C), pages 26-39.
  61. Matthew Ryan, 2010. "Mixture sets on finite domains," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 33(2), pages 139-147, November.
  62. 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.
  63. Walter Bossert, 1998. "Opportunity Sets and the Measurement of Information," Discussion Papers 98/6, University of Nottingham, School of Economics.
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