Fractional approval voting

In fractional social choice, fractional approval voting refers to a class of electoral systems using approval ballots, in which the outcome is fractional: for each alternative j there is a fraction pj between 0 and 1, such that the sum of pj is 1. It can be seen as a generalization of approval voting: in the latter, one candidate wins and the other candidates lose. The fractions pj can be interpreted in various ways, depending on the setting. Examples are:Time sharing: each alternative j is implemented a fraction pj of the time. Budget distribution: each alternative j receives a fraction pj of the total budget. Probabilities: after the fractional results are computed, there is a lottery for selecting a single candidate, where each candidate j is elected with probability pj. Entitlements: the fractional results are used as entitlements in rules of apportionment, or in algorithms of fair division with different entitlements.

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