When players may have lexicographic utilities, there are: (i) extensive games having a non-empty set of equilibria but empty sets of sequentially rational, sequential and perfect equilibria (ii) normal form games having a non-empty set of equilibria but an empty set of proper equilibria and no...

For the case of strict preferences, a measure of a voter’s average power in a dictatorial social welfare function is defined making the dictator never have more average power than three voters and, as the number of voters grows, making the dictator average power converge to the average power...

This paper considers the allocation of indivisible goods among members of a collective assuming that individuals are given the right to retain certain goods when some individuals alter the allocation problem. The assignment of rights is exhaustive in that, for every good x, either individual i...

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 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...

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...

The Hirsch index is a number that synthesizes a researcher’s output. It is defined as the maximum number h such that the researcher has h papers with at least h citations each. Two axiomatic characterizations of this index are suggested. One of them provides a simple conceptualization of the...

The problem of allocating indivisible goods is considered when groups of individuals can make use of their power to plunder other groups. A monarch in a group of individuals is an individual who always obtains one of his most preferred goods. A Paretian condition together with a requirement of...

Two strict preference aggregation mechanisms are suggested. One determines the collective preference from the most preferred to the least preferred alternative using as inputs the individuals' most preferred alternatives once the alternatives already assigned a position in the collective...