We analyze bankruptcy problems with an indivisible object, where real owners and outside traders want to allocate an indivisible object among them with monetary compensation. The object might be a company that has gone bankrupt or a house left by a parent who has died, and so on. We show that...

In this paper we are concerned with the following question. Given an extended preference ordering under what conditions does there exist an empirical stochastic/social choice function which generates it? We use Farkas' lemma to obtain a necessary and sufficient condition under which such a...

We consider strategy-proof rules operating on a rich domain of preference profiles in a set up where multiple private goods have to be assigned to a set of agents with entitlements where preferences display satiation. We show that if the rule is in addition "desirable", in that it is tops-only,...

I consider an extension of the Borda count to the case when individuals can have weak preferences, and I show that it satisfies several normatively appealing axioms. The first axiom is an extension to the case of weak preferences of the Modified Independence of Irrelevant Alternatives axiom...