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Probabilistic Graphs and Power Indices

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  • Emilio Calvo
  • J. Javier Lasaga

Abstract

In this paper a method is offered for calculating the power of political parties in the Spanish parliament. This is a modification of the Shapley-Shubik index which allows the ideological affinities between parties to be taken into account. It extends Myerson's model of games with restricted communication. A version of Hart and Kurz's model is also used to study the stability of government coalitions.

Suggested Citation

  • Emilio Calvo & J. Javier Lasaga, 1997. "Probabilistic Graphs and Power Indices," Journal of Theoretical Politics, , vol. 9(4), pages 477-501, October.
    • Handle: RePEc:sae:jothpo:v:9:y:1997:i:4:p:477-501
    DOI: 10.1177/0951692897009004003
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    References listed on IDEAS

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    1. Calvo, E. & Lasaga, J. & van den Nouweland, C.G.A.M., 1995. "Probabilistic graphs in cooperative games : A model inspired by voting situations," Discussion Paper 1995-95, Tilburg University, Center for Economic Research.
    2. Winter, Eyal, 1992. "The consistency and potential for values of games with coalition structure," Games and Economic Behavior, Elsevier, vol. 4(1), pages 132-144, January.
    3. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    4. Amer, Rafel & Carreras, Francesc, 1995. "Games and Cooperation Indices," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(3), pages 239-258.
    5. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    6. Calvo, Emilio & Javier Lasaga, J. & Winter, Eyal, 1996. "The principle of balanced contributions and hierarchies of cooperation," Mathematical Social Sciences, Elsevier, vol. 31(3), pages 171-182, June.
    7. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    8. Vazquez-Brage, Margarita & Garcia-Jurado, Ignacio & Carreras, Francesc, 1996. "The Owen Value Applied to Games with Graph-Restricted Communication," Games and Economic Behavior, Elsevier, vol. 12(1), pages 42-53, January.
    9. Carreras, Francesc, 1991. "Restriction of simple games," Mathematical Social Sciences, Elsevier, vol. 21(3), pages 245-260, June.
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    Citations

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    Cited by:

    1. James M. Snyder Jr. & Michael M. Ting & Stephen Ansolabehere, 2005. "Legislative Bargaining under Weighted Voting," American Economic Review, American Economic Association, vol. 95(4), pages 981-1004, September.
    2. Federico Valenciano & Annick Laruelle, 2002. "Assessment Of Voting Situations: The Probabilistic Foundations," Working Papers. Serie AD 2002-22, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    3. Thimann, Christian & Reynaud, Julien & Gatarek, Lukasz, 2007. "Proximity and linkages among coalition participants: a new voting power measure applied to the International Monetary Fund," Working Paper Series 819, European Central Bank.
    4. Julien Reynaud & Fabien Lange & Łukasz Gątarek & Christian Thimann, 2011. "Proximity in Coalition Building," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 3(3), pages 111-132, September.

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