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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," Other publications TiSEM 507aec8a-68ed-436b-ad9b-0, Tilburg University, School of Economics and Management.
    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. 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.
    4. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    5. 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.
    6. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    7. Amer, Rafel & Carreras, Francesc, 1995. "Games and Cooperation Indices," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(3), pages 239-258.
    8. Carreras, Francesc, 1991. "Restriction of simple games," Mathematical Social Sciences, Elsevier, vol. 21(3), pages 245-260, June.
    9. 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.
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    Cited by:

    1. 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.
    2. 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.
    3. 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).
    4. 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.

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