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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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    20. 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.
    21. Sen, Amartya K, 1977. "Social Choice Theory: A Re-examination," Econometrica, Econometric Society, vol. 45(1), pages 53-89, January.
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    23. Sen, Amartya K, 1979. "Personal Utilities and Public Judgements: Or What's Wrong with Welfare Economics?," Economic Journal, Royal Economic Society, vol. 89(355), pages 537-558, September.
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    25. Bengt Hansson, 1976. "The existence of group preference functions," Public Choice, Springer, vol. 28(1), pages 89-98, December.
    26. 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. Susumu Cato, 2018. "Collective rationality and decisiveness coherence," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(2), pages 305-328, February.
    3. Wesley H. Holliday & Mikayla Kelley, 2020. "A note on Murakami’s theorems and incomplete social choice without the Pareto principle," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(2), pages 243-253, August.
    4. Susumu Cato, 2013. "Alternative proofs of Arrow’s general possibility theorem," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 131-137, November.
    5. Susumu Cato, 2015. "Weak Independence and Social Semi-Orders," The Japanese Economic Review, Japanese Economic Association, vol. 66(3), pages 311-321, September.
    6. Susumu Cato, 2011. "Pareto principles, positive responsiveness, and majority decisions," Theory and Decision, Springer, vol. 71(4), pages 503-518, October.
    7. Ou-Yang, Kui, 2016. "Rawls’s maximin rule and Arrow’s impossibility theorem," Economics Letters, Elsevier, vol. 145(C), pages 114-116.
    8. Susumu Cato, 2014. "Menu Dependence and Group Decision Making," Group Decision and Negotiation, Springer, vol. 23(3), pages 561-577, May.
    9. Cato, Susumu, 2018. "Incomplete decision-making and Arrow’s impossibility theorem," Mathematical Social Sciences, Elsevier, vol. 94(C), pages 58-64.
    10. Ou-Yang, Kui, 2015. "A complete characterization of hierarchy," Economics Letters, Elsevier, vol. 136(C), pages 162-164.
    11. 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.
    12. Kui Ou-Yang, 2018. "Generalized rawlsianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(2), pages 265-279, February.
    13. Susumu Cato, 2014. "Independence of irrelevant alternatives revisited," Theory and Decision, Springer, vol. 76(4), pages 511-527, April.
    14. 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.
    15. Piggins, Ashley, 2017. "Sen’s proofs of the Arrow and Gibbard theorems," Economics Letters, Elsevier, vol. 161(C), pages 99-101.

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