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 show that it is possible to manipulate market equilibria in an economy with profit maximizing agents (or agents with quasi-linear utility functions) by either destroying or withholding ones initial endowments.