Expected utility and approval voting
Peter C. Fishburn, Steven J. Brams
Abstract
Peter C. Fishburn, Steven J. Brams
Abstract
Approval voting is concerned with the decision behavior of organizations and societal systems. As with other voting procedures, it elicits and converts input from voters into a social decision. Under approval voting, each voter in a multicandidate election can vote for as many candidates as he wishes. The candidate with the most votes is elected. Approval voting is analyzed here from the viewpoint of expected utility maximizing voters. Approximately optimal voting strategies are developed. The relative abilities of votes for different numbers of candidates to affect the outcome are assessed, and the issue of equity among voters is addressed. It is argued that approval voting is more equitable than the common plurality voting system.
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Approval voting is concerned with the decision behavior of organizations and societal systems. As with other voting procedures, it elicits and converts input from voters into a social decision. Under approval voting, each voter in a multicandidate election can vote for as many candidates as he wishes. The candidate with the most votes is elected. Approval voting is analyzed here from the viewpoint of expected utility maximizing voters. Approximately optimal voting strategies are developed. The relative abilities of votes for different numbers of candidates to affect the outcome are assessed, and the issue of equity among voters is addressed. It is argued that approval voting is more equitable than the common plurality voting system.
Key concepts: Voting, Bullet voting, Approval voting, Disapproval voting, Cardinal voting systems, Anti-plurality voting, Equity (law), Outcome (game theory)