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Connected Coalitions, P¾lya Sequences and Voting Power Indices

Author

Listed:
  • Sven Berg

    (Department of Statistics, University of Lund, Lund, Sweden)

  • Thommy Perlinger

    (Department of Statistics, University of Lund, Lund, Sweden)

Abstract

We look at the power of players in a voting game in which only certain coalitions are allowed due to, e.g., ideological constraints. Voting on a one-dimensional spectrum is an example. Edelman's (1997) model of voting on a convex set is supplemented with a probability model for generating coalitions. Connected coalitions are generated by means of sequences of binary P¾lya variables. An extended parametrized version of the Shapley-Shubik voting power index is derived.

Suggested Citation

  • Sven Berg & Thommy Perlinger, 2000. "Connected Coalitions, P¾lya Sequences and Voting Power Indices," Homo Oeconomicus, Institute of SocioEconomics, vol. 16, pages 391-403.
    • Handle: RePEc:hom:homoec:v:16:y:2000:p:391-403
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