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A Special Case of Penrose’s Limit Theorem When Abstention is Allowed

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  • Ines Lindner

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Abstract

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Suggested Citation

  • Ines Lindner, 2008. "A Special Case of Penrose’s Limit Theorem When Abstention is Allowed," Theory and Decision, Springer, vol. 64(4), pages 495-518, June.
  • Handle: RePEc:kap:theord:v:64:y:2008:i:4:p:495-518
    DOI: 10.1007/s11238-007-9076-9
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    References listed on IDEAS

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    1. Paulo P. Côrte-Real & Paulo T. Pereira, 2004. "The voter who wasn’t there: Referenda, representation and abstention," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(2), pages 349-369, April.
    2. Lindner, Ines & Machover, Moshe, 2004. "L.S. Penrose's limit theorem: proof of some special cases," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 37-49, January.
    3. Felsenthal, Dan S & Machover, Moshe, 1996. "Alternative Forms of the Shapley Value and the Shapley-Shubik Index," Public Choice, Springer, vol. 87(3-4), pages 315-318, June.
    4. MoshÊ Machover & Dan S. Felsenthal, 1997. "Ternary Voting Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(3), pages 335-351.
    5. Straffin, Philip Jr., 1994. "Power and stability in politics," 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 32, pages 1127-1151 Elsevier.
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    Citations

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    Cited by:

    1. Laszlo A. Koczy & Miklos Pinter, 2011. "The men who weren't even there: Legislative voting with absentees," IEHAS Discussion Papers 1129, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
    2. Matthew Gould & Matthew D. Rablen, 2017. "Reform of the United Nations Security Council: equity and efficiency," Public Choice, Springer, vol. 173(1), pages 145-168, October.
    3. Sreejith Das, 2011. "Criticality in games with multiple levels of approval," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(3), pages 373-395, September.
    4. Matthew Gould & Matthew D. Rablen, 2016. "Equitable representation in councils: theory and an application to the United Nations Security Council," Public Choice, Springer, vol. 169(1), pages 19-51, October.
    5. Kóczy Á., László & Pintér, Miklós, 2011. "Az ellenzék ereje - általánosított súlyozott szavazási játékok
      [Minority power - generalized weighted voting games]
      ," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(6), pages 543-551.

    More about this item

    Keywords

    limit theorems; ternary voting games; voting power; weighted voting games; C 71; D71;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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