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The Public Good index for games with several levels of approval in the input and output

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arxiv 2107.10458 v2 pith:TDO4O45S submitted 2021-07-22 cs.GT

classification cs.GT
keywords gamesindexhollerapprovalgoodinputlevelsoutput
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The Public Good index is a power index for simple games introduced by Holler and later axiomatized by Holler and Packel, so that some authors also speak of the Holler--Packel index. A generalization to the class of games with transferable utility was given by Holler and Li. Here we generalize the underlying ideas to games with several levels of approval in the input and output -- so-called $(j,k)$ simple games. Corresponding axiomatizations are also provided.

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