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The Nakamura numbers for computable simple games

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Author Info
Masahiro Kumabe
H. Reiju Mihara

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File URL: http://hdl.handle.net/10.1007/s00355-008-0300-5
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Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 31 (2008)
Issue (Month): 4 (December)
Pages: 621-640
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Handle: RePEc:spr:sochwe:v:31:y:2008:i:4:p:621-640

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Andjiga, Nicolas Gabriel & Mbih, Boniface, 2000. "A note on the core of voting games," Journal of Mathematical Economics, Elsevier, vol. 33(3), pages 367-372, April. [Downloadable!] (restricted)
  2. H. Reiju Mihara, 1997. "Arrow's Theorem and Turing computability," Economic Theory, Springer, vol. 10(2), pages 257-276. [Downloadable!] (restricted)
    Other versions:
  3. Peleg, Bezalel, 2002. "Game-theoretic analysis of voting in committees," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 8, pages 395-423 Elsevier. [Downloadable!] (restricted)
  4. Richter, Marcel K. & Wong, Kam-Chau, 1999. "Computable preference and utility," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 339-354, November. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Kumabe, Masahiro & Mihara, H. Reiju, 2007. "Computability of simple games: A complete investigation of the sixty-four possibilities," MPRA Paper 440, University Library of Munich, Germany. [Downloadable!]
  7. Truchon, Michel, 1995. "Voting games and acyclic collective choice rules," Mathematical Social Sciences, Elsevier, vol. 29(2), pages 165-179, April. [Downloadable!] (restricted)
  8. Mihara, H. Reiju, 2004. "Nonanonymity and sensitivity of computable simple games," Mathematical Social Sciences, Elsevier, vol. 48(3), pages 329-341, November. [Downloadable!] (restricted)
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  9. Kelly, Jerry S., 1988. "Social choice and computational complexity," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 1-8, February. [Downloadable!] (restricted)
  10. Kumabe, Masahiro & Mihara, H. Reiju, 2007. "Computability of simple games: A characterization and application to the core," MPRA Paper 437, University Library of Munich, Germany. [Downloadable!]
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  11. Kolpin, Van, 1990. "Equivalent game forms and coalitional power," Mathematical Social Sciences, Elsevier, vol. 20(3), pages 239-249, December. [Downloadable!] (restricted)
  12. Weber, Robert J., 1994. "Games in coalitional form," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 36, pages 1285-1303 Elsevier. [Downloadable!] (restricted)
  13. Rajat Deb, 2004. "Rights as alternative game forms," Social Choice and Welfare, Springer, vol. 22(1), pages 83-111, 02. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Kumabe, Masahiro & Mihara, H. Reiju, 2008. "Preference aggregation theory without acyclicity: The core without majority dissatisfaction," MPRA Paper 11728, University Library of Munich, Germany. [Downloadable!]
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