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A note on simple games with two equivalence classes of players

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arxiv 2112.00307 v1 pith:IZTUFDS7 submitted 2021-12-01 math.CO cs.GT

classification math.COcs.GT
keywords gamessimplevotingbipartitecharacterizationsclassesconsistdifferent
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Many real-world voting systems consist of voters that occur in just two different types. Indeed, each voting system with a {\lq\lq}House{\rq\rq} and a {\lq\lq}Senat{\rq\rq} is of that type. Here we present structural characterizations and explicit enumeration formulas for these so-called bipartite simple games.

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