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

The Equal Split-Off Set for Cooperative Games

In this paper the equal split-o. set is introduced as a new solution concept for cooperative games.This solution is based on egalitarian considerations and it turns out that for superadditive games the equal split-o. set is a subset of the equal division core.Moreover, the proposed solution is single valued on the class of convex games and it coincides with the Dutta-Ray constrained egalitarian solution.

Egalitarianism in Convex Fuzzy Games

In this paper the egalitarian solution for convex cooperative fuzzy games is introduced.The classical Dutta-Ray algorithm for finding the constrained egalitarian solution for convex crisp games is adjusted to provide the egalitarian solution of a convex fuzzy game.This adjusted algorithm is also a finite algorithm, because the convexity of a fuzzy game implies in each step the existence of a maximal element which corresponds to a crisp coalition.For arbitrary fuzzy games the equal division core is introduced.It turns out that both the equal division core and the egalitariansolution of a convex fuzzy game coincide with the corresponding equal division core and the constrained egalitarian solution, respectively, of the related crisp game.game theory

Egalitarianism in convex fuzzy games

cooperative games;algorithm

A New Characterization of Convex Games

A cooperative game turns out to be convex if and only if all its marginal games are superadditive.characterization;convex games;marginal games;superadditive games

Hypercubes and Compromise Values for Cooperative Fuzzy Games

AMS classification: 90D12; 03E72;cooperative games;Compromise values;Core;Fuzzy coalitions;Fuzzy games;Hypercubes;Path solutions;Weber set

Convex fuzzy games and participation monotonic allocation schemes

90D12;03E72cooperative games

Convex Games versus Clan Games

In this paper we provide characterizations of convex games and total clan games by using properties of their corresponding marginal games.We show that a "dualize and restrict" procedure transforms total clan games with zero worth for the clan into monotonic convex games.Furthermore, each monotonic convex game generates a total clan game with zero worth for the clan by a "dualize and extend" procedure.These procedures are also useful for relating core elements and elements of the Weber set of the corresponding games.convex games;core;dual games;marginal games;total clan games;Weber set