We consider effectivity functions for finitely many players and alternatives. We assume that players have incomplete information with respect to the preferences of the other players. Our main result is the characterization of effectivity functions which have an ex post Nash consistent...

This paper considers the estate division problem from a non-cooperative perspective. The integer claim game initiated by ONeill 1982 and extended by Atlamaz et al. 2011 is generalized by considering different sharing rules to divide every interval among the claimants. For problems with an estate...

We study an infinite horizon model, where a seller orders his product in batches of fixed size. A sales strategy determines both the order moments and the sales path between these moments. Under some natural conditions on the sellers revenue function, the strategy that maximizes the sellers...

In a mutual control structure agents exercise control over each other. Typical examples occur in the area of corporate governance firms and investment companies exercise mutual control, in particular by owning each others stocks. In this paper we formulate a general model for such situations....

It is proved that every strategy-proof, peaks-only or unanimous, probabilistic rule defined over a minimally rich domain of single-peaked preferences is a probability mixture of strategy-proof, peaks-only or unanimous, deterministic rules over the same domain. The proof employs Farkas Lemma and...

Single-basined preferences generalize single-dipped preferences by allowing for multiple worst elements. These preferences have played an important role in areas such as voting, strategy-proofness and matching problems. We examine the notion of single-basinedness in a choice-theoretic setting....

We show that feasible elimination procedures Peleg, 1978 can be used to select k from m alternatives. An important advantage of this method is the core property no coalition can guarantee an outcome that is preferred by all its members. We also provide an axiomatic characterization for the case...

We consider the joint decision of placing public bads in each of two neighboring countries, modelled by two adjacent line segments. Residents of the two countries have single-dipped preferences, determined by the location of the nearest public bad to their dips. A social choice function or rule...