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Brief proofs of Arrovian impossibility theorems

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  • Susumu Cato

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Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 35 (2010)
Issue (Month): 2 (July)
Pages: 267-284

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Handle: RePEc:spr:sochwe:v:35:y:2010:i:2:p:267-284

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  1. Valentino Dardanoni, 2001. "A pedagogical proof of Arrow's Impossibility Theorem," Social Choice and Welfare, Springer, Springer, vol. 18(1), pages 107-112.
  2. Blau, Julian H, 1972. "A Direct Proof of Arrow's Theorem," Econometrica, Econometric Society, Econometric Society, vol. 40(1), pages 61-67, January.
  3. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
  4. 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.
  5. 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.
  6. KIRMAN, Alan P. & SONDERMANN, Dieter, . "Arrow's theorem, many agents, and indivisible dictators," CORE Discussion Papers RP -118, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. 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.
  8. 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.
  9. Miller, Michael K., 2009. "Social choice theory without Pareto: The pivotal voter approach," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 251-255, September.
  10. Blau, Julian H & Deb, Rajat, 1977. "Social Decision Functions and the Veto," Econometrica, Econometric Society, Econometric Society, vol. 45(4), pages 871-79, May.
  11. Kotaro Suzumura, 2000. "Presidential Address: Welfare Economics Beyond Welfarist-Consequentialism," The Japanese Economic Review, Japanese Economic Association, Japanese Economic Association, vol. 51(1), pages 1-32, 03.
  12. Sen, Amartya K, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 36(107), pages 381-93, July.
  13. 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.
  14. 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 327-56, June.
  15. Binmore, K G, 1976. "Social Choice and Parties," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 43(3), pages 459-64, October.
  16. Sen, Amartya, 1995. "Rationality and Social Choice," American Economic Review, American Economic Association, vol. 85(1), pages 1-24, March.
  17. Wilson, Robert, 1975. "On the theory of aggregation," Journal of Economic Theory, Elsevier, vol. 10(1), pages 89-99, February.
  18. Guha, Ashok, 1972. "Neutrality, Monotonicity, and the Right of Veto," Econometrica, Econometric Society, Econometric Society, vol. 40(5), pages 821-26, September.
  19. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 58, pages 328.
  20. Blau, Julian H., 1979. "Semiorders and collective choice," Journal of Economic Theory, Elsevier, vol. 21(1), pages 195-206, August.
  21. Marcel Richter & Kam-Chau Wong, 2008. "Preference densities and social choices," Economic Theory, Springer, vol. 36(2), pages 225-238, August.
  22. Kfir Eliaz, 2004. "Social aggregators," Social Choice and Welfare, Springer, Springer, vol. 22(2), pages 317-330, 04.
  23. Mas-Colell, Andreu & Sonnenschein, Hugo, 1972. "General Possibility Theorems for Group Decisions," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 39(2), pages 185-92, April.
  24. Luis Ubeda, 2003. "Neutrality in arrow and other impossibility theorems," Economic Theory, Springer, vol. 23(1), pages 195-204, December.
  25. Sen, Amartya K, 1977. "Social Choice Theory: A Re-examination," Econometrica, Econometric Society, Econometric Society, vol. 45(1), pages 53-89, January.
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Cited by:
  1. Susumu Cato, 2014. "Independence of irrelevant alternatives revisited," Theory and Decision, Springer, vol. 76(4), pages 511-527, April.
  2. Susumu Cato, 2011. "Pareto principles, positive responsiveness, and majority decisions," Theory and Decision, Springer, vol. 71(4), pages 503-518, October.
  3. Susumu Cato, 2012. "Social choice without the Pareto principle: a comprehensive analysis," Social Choice and Welfare, Springer, Springer, vol. 39(4), pages 869-889, October.

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