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The Public Good spatial power index in political games

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  • Arnold Cédrick SOH VOUTSA

    (Université de Cergy-Pontoise, THEMA)

Abstract

We propose a new spatial index called the Public Good spatial index, which is the spatial version of the standard Public Good index under independence behaviors (PGI). However, we show that the spatial model used, is not well suited for both, the standard Shapley Shubik index and the standard Public Good index under Ho- mogeneity behaviors (PGH); and consequently they do not have a consistent spatial version with respect to our model. By contrast, the same spatial model is appro- priated for the Banzhaf index and the aforementioned PGI index, concomitantly, allowing their spatial versions in political games. We also argue that those two well convenient spatial indices are only understandable under behavioral descriptions with independence assumptions on political issues. Finally, the paper details our findings by means of examples, comparisons, and it also provides relevant ways of computing spatial power indices in real case studies when it comes to lower dimensions.

Suggested Citation

  • Arnold Cédrick SOH VOUTSA, 2021. "The Public Good spatial power index in political games," THEMA Working Papers 2021-01, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    • Handle: RePEc:ema:worpap:2021-01
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    References listed on IDEAS

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    5. Stefano Benati & Giuseppe Vittucci Marzetti, 2013. "Probabilistic spatial power indexes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 391-410, February.
    6. Shenoy, Prakash P., 1982. "The Banzhaf power index for political games," Mathematical Social Sciences, Elsevier, vol. 2(3), pages 299-315, April.
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    8. Barr, Jason & Passarelli, Francesco, 2009. "Who has the power in the EU?," Mathematical Social Sciences, Elsevier, vol. 57(3), pages 339-366, May.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    political games; spatial power indices; Public Good index; Banzhaf index.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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