A competitive market mechanism is a prominent example of a nonbinary social choice rule, typically defined for a special class of economic environments in which each social state is an economic allocation of private goods, and individuals’ preferences concern only their own personal...

This chapter surveys a class of solution concepts for n -person games without transferable utility — NTU games for short — that are based on varying notions of “fair division”. An NTU game is a specification of payoffs attainable by members of each coalition through some joint course of...

This survey captures the main contributions in the area described by the title that were published up to 1997. (Unfortunately, it does not capture all of them.) The variations that are the subject of this chapter are those axiomatically characterized solutions which are obtained by varying...

On several classes of n-person NTU games that have at least one Shapley NTU value, Aumann characterized this solution by six axioms: Non-emptiness, efficiency, unanimity, scale covariance, conditional additivity, and independence of irrelevant alternatives (IIA). Each of the first five axioms is...

In this paper we address several issues related to collective dichotomous decision-making by means of quaternary voting rules, i.e., when voters may choose between four actions: voting yes, voting no, abstaining and not turning up-which are aggregated by a voting rule into a dichotomous...

This paper investigates the influence of physical attractiveness on cooperative behavior. We survey data from 211 episodes of a television game show and combine it with independent facial attractiveness ratings of the show's contestants. The final of the show represents a simultaneous one-shot...