Arrow's Theorem and Turing Computability
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Other versions of this item:
- H. Reiju Mihara, 1997. "Arrow's Theorem and Turing computability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 257-276.
- H. Reiju Mihara, 1994. "Arrow's Theorem and Turing Computability," Public Economics 9408001, University Library of Munich, Germany, revised 06 Aug 1998.
References listed on IDEAS
- H. Reiju Mihara, 1997.
"Anonymity and neutrality in Arrow's Theorem with restricted coalition algebras,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(4), pages 503-512.
- H. Reiju Mihara, 1994. "Anonymity and Neutrality in Arrow's Theorem with Restricted Coalition Algebras," Public Economics 9411001, University Library of Munich, Germany, revised 07 Sep 1998.
- Spear, Stephen E, 1989. "Learning Rational Expectations under Computability Constraints," Econometrica, Econometric Society, vol. 57(4), pages 889-910, July.
- 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.
- H. Reiju Mihara, 2001.
"Existence of a coalitionally strategyproof social choice function: A constructive proof,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(3), pages 543-553.
- H. Reiju Mihara, 1996. "Existence of a Coalitionally Strategyproof Social Choice Function: A Constructive Proof," Public Economics 9604002, University Library of Munich, Germany, revised 01 Jun 2004.
- Kelly, Jerry S., 1988. "Social choice and computational complexity," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 1-8, February.
- Lewis, Alain A., 1988. "An infinite version of arrow's theorem in the effective setting," Mathematical Social Sciences, Elsevier, vol. 16(1), pages 41-48, August.
- Arrow, Kenneth J, 1986. "Rationality of Self and Others in an Economic System," The Journal of Business, University of Chicago Press, vol. 59(4), pages 385-399, October.
- Hausman, Daniel M & McPherson, Michael S, 1993. "Taking Ethics Seriously: Economics and Contemporary Moral Philosophy," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 671-731, June.
- Armstrong, Thomas E., 1980. "Arrow's theorem with restricted coalition algebras," Journal of Mathematical Economics, Elsevier, vol. 7(1), pages 55-75, March.
- Armstrong, Thomas E., 1985. "Precisely dictatorial social welfare functions : Erratum and Addendum to `arrows theorem with restricted coalition algebras'," Journal of Mathematical Economics, Elsevier, vol. 14(1), pages 57-59, February.
Citations
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Cited by:
- Kumabe, Masahiro & Mihara, H. Reiju, 2011.
"Preference aggregation theory without acyclicity: The core without majority dissatisfaction,"
Games and Economic Behavior, Elsevier, vol. 72(1), pages 187-201, May.
- Kumabe, Masahiro & Mihara, H. Reiju, 2008. "Preference aggregation theory without acyclicity: The core without majority dissatisfaction," MPRA Paper 11728, University Library of Munich, Germany.
- Masahiro Kumabe & H. Reiju Mihara, 2008.
"The Nakamura numbers for computable simple games,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 621-640, December.
- Kumabe, Masahiro & Mihara, H. Reiju, 2007. "The Nakamura numbers for computable simple games," MPRA Paper 3684, University Library of Munich, Germany.
- Kumabe, Masahiro & Mihara, H. Reiju, 2008.
"Computability of simple games: A characterization and application to the core,"
Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 348-366, February.
- Kumabe, Masahiro & Mihara, H. Reiju, 2006. "Computability of simple games: A characterization and application to the core," MPRA Paper 437, University Library of Munich, Germany.
- Mihara, H. Reiju, 2004.
"Nonanonymity and sensitivity of computable simple games,"
Mathematical Social Sciences, Elsevier, vol. 48(3), pages 329-341, November.
- H. Reiju Mihara, 2003. "Nonanonymity and sensitivity of computable simple games," Game Theory and Information 0310006, University Library of Munich, Germany, revised 01 Jun 2004.
- Bossert, Walter & Cato, Susumu, 2020. "Acyclicity, anonymity, and prefilters," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 134-141.
- Kumabe, Masahiro & Mihara, H. Reiju, 2011.
"Computability of simple games: A complete investigation of the sixty-four possibilities,"
Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 150-158, March.
- Kumabe, Masahiro & Mihara, H. Reiju, 2006. "Computability of simple games: A complete investigation of the sixty-four possibilities," MPRA Paper 440, University Library of Munich, Germany.
- Andrei Gomberg & César Martinelli & Ricard Torres, 2005.
"Anonymity in large societies,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(1), pages 187-205, October.
- Andrei Gomberg & Cesar Martinelli & Ricard Torres, 2002. "Anonymity in Large Societies," Working Papers 0211, Centro de Investigacion Economica, ITAM.
- H. Reiju Mihara, 1997. "Arrow's Theorem, countably many agents, and more visible invisible dictators," Public Economics 9705001, University Library of Munich, Germany, revised 01 Jun 2004.
- Norbert Brunner & H. Reiju Mihara, 1999. "Arrow's theorem, Weglorz' models and the axiom of choice," Public Economics 9902001, University Library of Munich, Germany, revised 01 Jun 2004.
- Hannu Salonen & Kari Saukkonen, 2005. "On continuity of Arrovian social welfare functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(1), pages 85-93, October.
- Mihara, H. Reiju, 2017. "Characterizing the Borda ranking rule for a fixed population," MPRA Paper 78093, University Library of Munich, Germany.
- Yasuhito Tanaka, 2009. "On the computability of quasi-transitive binary social choice rules in an infinite society and the halting problem," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 32(1), pages 67-78, May.
- Grainger, Daniel & Stoeckl, Natalie, 2019. "The importance of social learning for non-market valuation," Ecological Economics, Elsevier, vol. 164(C), pages 1-1.
- Susumu Cato, 2020. "Quasi-stationary social welfare functions," Theory and Decision, Springer, vol. 89(1), pages 85-106, July.
- Mihara, H. Reiju, 1999. "Arrow's theorem, countably many agents, and more visible invisible dictators1," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 267-287, November.
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More about this item
Keywords
social welfare ; economic theory;JEL classification:
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other
- D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other
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