We propose the concept of level r consensus as a useful property of a preference profile which considerably enhances the stability of social choice. This concept involves a weakening of unanimity, the most extreme form of consensus. It is shown that if a preference profile exhibits level r...

Utilitarian voting (UV) is defined in this paper as any voting rule that allows the voter to rank all of the alternatives by means of the scores permitted under a given voting scale. Specific UV rules that have been proposed are approval voting, allowing the scores 0, 1; range voting, allowing...

The paper challenges the "orthodox doctrine" of collective choice theory according to which Arrow's "general possibility theorem" precludes rational decision procedures generally and implies that in particular all voting procedures must be flawed. I point out that all voting procedures are...

Early results on the emptiness of the core and the majority-rule-chaos results led to the recognition of the importance of modeling institutional details in political processes. A sample of the literature on game-theoretic models of political phenomena that ensued is presented. In the case of...