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...

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...

The analysis is developed in the context of the "housemates problem," in which the rent for a house (the bad) must be apportioned among several housemates, each of whom is entitled to receive one room (the good). Each housemate is assumed to have the same endowment, so the auction of rooms is a...