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Brief proofs of Arrovian impossibility theorems

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  • Susumu Cato

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  • Susumu Cato, 2010. "Brief proofs of Arrovian impossibility theorems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 267-284, July.
  • Handle: RePEc:spr:sochwe:v:35:y:2010:i:2:p:267-284 DOI: 10.1007/s00355-010-0440-2
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    References listed on IDEAS

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    1. Blau, Julian H., 1979. "Semiorders and collective choice," Journal of Economic Theory, Elsevier, vol. 21(1), pages 195-206, August.
    2. Miller, Michael K., 2009. "Social choice theory without Pareto: The pivotal voter approach," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 251-255, September.
    3. Andreu Mas-Colell & Hugo Sonnenschein, 1972. "General Possibility Theorems for Group Decisions," Review of Economic Studies, Oxford University Press, vol. 39(2), pages 185-192.
    4. Fishburn, Peter C., 1970. "Arrow's impossibility theorem: Concise proof and infinite voters," Journal of Economic Theory, Elsevier, vol. 2(1), pages 103-106, March.
    5. Marcel Richter & Kam-Chau Wong, 2008. "Preference densities and social choices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(2), pages 225-238, August.
    6. Valentino Dardanoni, 2001. "A pedagogical proof of Arrow's Impossibility Theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 107-112.
    7. Blackorby, Charles & Donaldson, David & Weymark, John A, 1984. "Social Choice with Interpersonal Utility Comparisons: A Diagrammatic Introduction," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(2), pages 327-356, June.
    8. Blair, Douglas H. & Bordes, Georges & Kelly, Jerry S. & Suzumura, Kotaro, 1976. "Impossibility theorems without collective rationality," Journal of Economic Theory, Elsevier, vol. 13(3), pages 361-379, December.
    9. Blair, Douglas H. & Pollak, Robert A., 1979. "Collective rationality and dictatorship: The scope of the arrow theorem," Journal of Economic Theory, Elsevier, vol. 21(1), pages 186-194, August.
    10. Sen, Amartya K, 1977. "Social Choice Theory: A Re-examination," Econometrica, Econometric Society, vol. 45(1), pages 53-89, January.
    11. Kirman, Alan P. & Sondermann, Dieter, 1972. "Arrow's theorem, many agents, and invisible dictators," Journal of Economic Theory, Elsevier, vol. 5(2), pages 267-277, October.
    12. Blau, Julian H, 1972. "A Direct Proof of Arrow's Theorem," Econometrica, Econometric Society, vol. 40(1), pages 61-67, January.
    13. Kfir Eliaz, 2004. "Social aggregators," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(2), pages 317-330, April.
    14. Amartya Sen, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," Review of Economic Studies, Oxford University Press, vol. 36(3), pages 381-393.
    15. Wilson, Robert, 1975. "On the theory of aggregation," Journal of Economic Theory, Elsevier, vol. 10(1), pages 89-99, February.
    16. k. g. binmore, 1976. "Social Choice and Parties," Review of Economic Studies, Oxford University Press, vol. 43(3), pages 459-464.
    17. Luis Ubeda, 2003. "Neutrality in arrow and other impossibility theorems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(1), pages 195-204, December.
    18. Kotaro Suzumura, 2000. "Presidential Address: Welfare Economics Beyond Welfarist-Consequentialism," The Japanese Economic Review, Japanese Economic Association, vol. 51(1), pages 1-32, March.
    19. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58, pages 328-328.
    20. Reny, Philip J., 2001. "Arrow's theorem and the Gibbard-Satterthwaite theorem: a unified approach," Economics Letters, Elsevier, vol. 70(1), pages 99-105, January.
    21. Blau, Julian H & Deb, Rajat, 1977. "Social Decision Functions and the Veto," Econometrica, Econometric Society, vol. 45(4), pages 871-879, May.
    22. Fountain, John & Suzumura, Kotaro, 1982. "Collective Choice Rules without the Pareto Principle," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 299-308, June.
    23. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
    24. Sen, Amartya, 1995. "Rationality and Social Choice," American Economic Review, American Economic Association, vol. 85(1), pages 1-24, March.
    25. Guha, Ashok, 1972. "Neutrality, Monotonicity, and the Right of Veto," Econometrica, Econometric Society, vol. 40(5), pages 821-826, September.
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    Cited by:

    1. Muto, Nozomu & Sato, Shin, 2016. "Bounded response of aggregated preferences," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 1-15.
    2. repec:spr:etbull:v:1:y:2013:i:2:d:10.1007_s40505-013-0012-6 is not listed on IDEAS
    3. Susumu Cato, 2011. "Pareto principles, positive responsiveness, and majority decisions," Theory and Decision, Springer, pages 503-518.
    4. repec:spr:grdene:v:23:y:2014:i:3:d:10.1007_s10726-013-9343-9 is not listed on IDEAS
    5. Uuganbaatar Ninjbat, 2015. "Impossibility theorems are modified and unified," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 849-866, December.
    6. Susumu Cato, 2014. "Independence of irrelevant alternatives revisited," Theory and Decision, Springer, pages 511-527.
    7. repec:eee:ecolet:v:161:y:2017:i:c:p:99-101 is not listed on IDEAS
    8. Ou-Yang, Kui, 2016. "Rawls’s maximin rule and Arrow’s impossibility theorem," Economics Letters, Elsevier, vol. 145(C), pages 114-116.
    9. Ou-Yang, Kui, 2015. "A complete characterization of hierarchy," Economics Letters, Elsevier, vol. 136(C), pages 162-164.
    10. Susumu Cato, 2012. "Social choice without the Pareto principle: a comprehensive analysis," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 869-889, October.

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