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- Fractional approval voting is an electoral system using approval ballots (each voter selects one or more candidate alternatives), 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 (pj = 1) and the other candidates lose (pj = 0). 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 (e.g. each candidate j serves in office a fraction pj of the term).
* 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 (also called weights) in rules of apportionment, or in algorithms of fair division with different entitlements. Fractional approval voting is a special case of fractional social choice in which all voters have dichotomous preferences. It appears in the literature under many different terms: lottery, sharing, portioning, mixing and distribution. (en)
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- It is unclear whether the majoritarian rule guarantees group-FS, PE, or strategic properties. (en)
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- Fractional approval voting is an electoral system using approval ballots (each voter selects one or more candidate alternatives), 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 (pj = 1) and the other candidates lose (pj = 0). The fractions pj can be interpreted in various ways, depending on the setting. Examples are: (en)
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- Fractional approval voting (en)
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