Effectivity functions for finitely many players and alternatives are considered. It is shown that every monotonic and superadditive effectivity function can be augmented with equalchance lotteries to a finite lottery model---i.e., an effectivity function that preserves the original effectivity...

The class of bargaining solutions that are defined on the domain of finite sets of alternatives and satisfy Weak Pareto Optimality (WPO), Independence of Irrelevant Alternatives (IIA) and Covariance (COV), is characterized. These solutions select from the set of maximizers of a nonsymmetric Nash...

Under a k-approval scoring rule each agent attaches a score of one to his k most preferred alternatives and zero to the other alternatives. The rule assigns the set of alternatives with maximal score. Agents may extend preferences to sets in several ways: they may compare the worst alternatives,...

The Rubinstein alternating offers bargaining game is reconsidered under the assumption that each player is loss averse and the associated reference point is equal to the highest turned down offer of the opponent in the past. This makes the payoffs and therefore potential equilibrium strategies...

Incomplete preferences over lotteries on a ¯nite set of alternatives satisfying, besides independence and continuity, a property called bad outcome aversion are considered. These preferences are characterized in terms of their speci¯c multi-expected utility representations (cf. Dubra et al.,...

We analyse the problem of aggregating judgments over multiple issues from the perspective ofefficient aggregation of voters’ private information. While new in judgment aggregation theory,this perspective is familiar in a different body of literature about voting between twoalternatives when...

A state, for instance a health state, is characterized by a number of attributes to each of which a level is assigned. A specific collection of numerical values, for instance utilities, for all possible states is called a situation. The main purpose of the paper is to develop a class of methods...

Nash equilibria with identical supports are compared for bimatrix games that are different with respect to the risk aversion of player 2. For equilibria in 2 by 2-bimatrix games and for equilibria with efficient supports in coordination games it is established for which cases increased risk...

The classical bankruptcy problem (O''Neill, 1982) is extended by assuming that the agents have non-homogenous preferences over several estates. A special case is the one in which there are finitely many estates and the agents have homogenous preferences, i.e., constant utilities, per estate. In...

In a model with finitely many agents who have single-dipped Euclidean preferences on a disc in theEuclidean plane, a rule assigns to each profile of reported dips a point of the disc. It is provedthat any strategy-proof and Pareto optimal rule is a dictatorial. This framework models...