The problem of aggregating preferences over two alternatives is considered. Three axioms are postulated: unanimity, reducibility (two divergent preferences can be replaced by their aggregation), and anonymity. It is shown that only twelve aggregation rules satisfy the three axioms: the majority...

Two axioms are shown to characterize the relative majority rule when preferences are defined over two alternatives. According to one axiom, if all the individuals in a group are indifferent, then the associated group preference is indifference. The second axiom states that a group S prefers...

The majority rule and the hierarchically dictatorial rule are both characterized when preferences are defined over two alternatives. The majority rule is characterized in terms of seven axioms. The hierarchically dictatorial rule is characterized in terms of six of these seven axioms and the...

The (relative) majority rule is a benchmark collective decision norm. This paper provides a simple characterization of the majority rule, for the two-alternative case, that relies on the following property: the choice prescribed by the rule to a group I of individuals must be the one that would...

We study a problem of individual manipulation in an impartial culture (IC) framework using computer modeling. We estimate the degree of manipulability of ten positional voting rules in the case of multiple choice for 3 and 4 alternatives. -- manipulability ; positional voting rules ; multiple...

Within the framework of the axiomatic approach three types of voting schemes are investigated according to the form in which the individual opinions about the alternatives are defined, as well as to the form of desired social decision. These types of rules are Social Decision Rules, Functional...

This chapter surveys the literature on strategy proofness from a historical perspective. While I discuss the connections with other works on incentives in mechanism design, the main emphasis is on social choice models.

The relative majority rule and the unanimity rule are characterized for the case in which there are only two alternatives. The main axioms are motivated by a principle of binary representativeness: the aggregation of the preferences of n voters is the result of splitting the n voters into two...

In this paper we introduce two related core-type solutions for games with transferable utility (TU-games) the $\mathcal{B}$-core and the $\mathcal{M}$-core. The elements of the solutions are pairs $(x, \mathcal{B}), $ where x, as usual, is a vector representing a distribution of utility and...