It is well-known that non-cooperative and cooperative game theory may yield different solutions to games. These differences are particularly dramatic in the case of truels, or three-person duels, in which the players may fire sequentially or simultaneously, and the games may be one-round or...

Fallback bargaining is a bargaining procedure under which bargainers begin by indicating their preference rankings over all alternatives. They then fall back, in lockstep, to less and less preferred alternatives - starting with first choices, then adding second choices, and so on - until an...

The Lorenz-Pareto Optimal Frontier of a collective choice problem indentifies a (usually quite large) subset of all Pareto optimal outcomes which are not inegalitarian according to the Lorenz criterion. We study the basic properties of Lorenz-Pareto optimal choice functions and in particular...

In 1972, Harsanyi and Selten characterized a one parameter asymmetric Nash solution. In this note I do the analog for the Kalai-Smorodinsky solution. By dropping symmetry and adding a restrivted version of Independence of Irrelevant Alternatives to the set of axioms that lead to the...

This paper studies the conditions under which the basic results of the re vealed preference theory can be established on the domain of choice problems which include non-convex feasible sets, the exercice is closely related to the works of Peters and Wakker (1991) and Bossert (1994).

We study the problem of ranking distributions of opportunity sets on the basis of equality.

We axiomatically investigate the problem of rationalizing bargaining solutions by social welfare functions that are linear in every rank-ordered subset of Rn+. Such functions, the so-called Choquet integrals, have been widely used in the theories of collective and individual choice. We refer to...