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Power, monotonicity and expectations

机译:力量,单调性和期望

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摘要

A popular view of power indices, applied to voting games, is that these mea- sures "represent a reasonable expectation of the share of voting power given by the ability to contribute to the formation of winning configurations" (Turnovec, 1997). That is (a) there is an "ability" called "voting power", which we cannot measure di- rectly; but (b) we can calculate indices which represent "reasonable expectations" of this ability. Often it is argued that these expectations are considered reasonable if the index Measure, which is used to quantify these expectations, satisfies monotonicity "to Some degree".
机译:应用于投票游戏的权力指数的一种流行观点是,这些度量“代表了对有助于形成获胜配置的能力所给予的投票权份额的合理预期”(Turnovec,1997)。那就是:(a)有一种称为“投票权”的“能力”,我们不能直接测量;但是(b)我们可以计算代表该能力“合理预期”的指标。通常认为,如果用于量化这些期望的指标Measure满足“某种程度”的单调性,则认为这些期望是合理的。

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