We show that for multi-unit auctions, of which bundle auctions are a special case, market equilibrium and constrained market equilibrium are equivalent concepts. This equivalence, allows us to obtain a computable necessary and sufficient condition for the existence of (constrained) market...

Rationality in choice theory has been an abiding concern of decision theorists. A rationality postulate of considerable significance in the literature is the weak congruence axiom of Richter and Sen. It is well known that in discrete choice contexts of the classical type (i.e. all non-empty...

In this paper we say that a preference over opportunity sets is justifiable if there exists a reflexive and complete binary relation on the set of alternatives, such that one opportunity set is at least as good as a second, if and only if the there is at least one alternative from the first set...

We consider two-player integer allocation plms and provide axiomatic characterizations of adaptations of the Nash (1950) an Kalai-Smorodinsky (1975) solutions fo such problems. We also relate the theory dveloped for integer allocation problems, to the problem of fair allocation of indivisible...

In this paper we show that if all agents are equipped with discrete concave production functions, then a feasible price allocation pair is a market equilibrium if and only if it solves a linear programming problem, similar to, but perhaps simpler than the one invoked in Yang (2001). Using this...