Dichotomous Preferences and Power Set Extensions

This paper is devoted to the study of how to extend a dichotomous partition of a universal set X into good and bad objects to an ordering on the power set of X. We introduce a family of rules that naturally take into account the number of good objects and the number of bad objects, and provide axiomatic characterizations of two rules for ranking sets in such a context

On Procedural Freedom of Choice

Numerous works in the last decade have analyzed the question of how to compare opportunity sets as a way to measure and evaluate individual freedom of choice.This paper defends that, in many contexts, external procedural aspects that are associated to an opportunity set should be taken into account when making judgements about the freedom of choice an agent enjoys.We propose criteria for comparing procedure-based opportunity sets that are consistent with both the procedural aspect of freedom and most of the standard theories of ranking opportunity sets.opportunity set;freedom of choice

On freedom, lack of information and the preference for easy choices

This paper is devoted to the study of opportunity sets comparisons when the sets may contain options whose characteristics are not completely known. We propose a suitable environment in which this problem can be approached, and provide axiomatic characterizations of several rules for ranking sets in such a context.freedom of choice, lack of information, extended opportunity sets, easy choices

Dichotomous Preferences and Power Set Extensions

This paper is devoted to the study of how to extend a dichotomous partition of a universal set X into good and bad objects to an ordering on the power set of X. We introduce a family of rules that naturally take into account the number of good objects and the number of bad objects, and provide axiomatic characterizations of two rules for ranking sets in such a context.dichotomy; objects; set extensions; ranking sets

Rational evaluation of actions under complete uncertainty

This work analyzes the problem of individual choice of actions under complete uncertainty. In this context, each action consists of a set of different possible outcomes with no probability distribution associated with them. The work examines and defines a class of choice procedures in which: a): the evaluation of sets (actions) is element-induced; and b): certain assumption of rationality, which is an adaptation of Sen's condition, is satisfied. Some results of characterization show that different well-known rules can be reinterpreted as particular cases within the defined class, each of them responding to different attitudes towards uncertainty by the agent.This work was done during an academic visit to the Department of Economics of the University of California at Riverside (UCR). The visit was possible thanks to the invitation from UCR and the financial support of the CICYT (SEC96-0858, SEC2000-0838) and the Government of Navarra

League competitions and fairness

We formulate two fairness principles and characterize the league competition systems that satisfy them. The first principle requires that all players should have the same chance of being the final winner if all players are equally strong, while the second states that the league competition should not favor weaker players. We apply these requirements to a class of systems which includes round-robin tournaments as a particular case