The Public Good spatial power index in political games

Arnold Cédrick SOH Voutsa ()
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Arnold Cédrick SOH Voutsa: Université de Cergy-Pontoise, THEMA

No 2021-01, THEMA Working Papers from THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise

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.

Keywords: political games; spatial power indices; Public Good index; Banzhaf index. (search for similar items in EconPapers)
JEL-codes: C71 D71 (search for similar items in EconPapers)
Date: 2021
New Economics Papers: this item is included in nep-cdm and nep-gth
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Persistent link: https://EconPapers.repec.org/RePEc:ema:worpap:2021-01

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