In this paper we are interested in the social choice theory of allocating resources, which are available and can be consumed in integer units only. Since goods are available in integer units only, the social choice theory for such problems cannot exploit any smoothness property, which may...

In this paper we show that a feasible price allocation pair is a market equilibrium of a discrete market game if and only if it solves a linear programming problem. We use this result to obtain computable necessary and sufficient conditions for the existence of market equilibrium. We assume that...

In this paper, we consider the problem of choosing a set of multi-party contracts, where each coalition of agents has a non-empty finite set of feasible contracts to choose from. We call such problems, cntract choic problems. We provide conditions under which a contract choice problem has a...