We show that, in markets with indivisibilties (typified by the Shapley-Scarf housing market), the strict core mechanism is categorically determined by three assumptions: individual rationality, Pareto optimality and strategy-proofness.

This paper studies an exchange economy with indivisibilities. Our main goal is to see if a price system can function well in an economy (e.g., an economy with complementary preferences) that does not have a Walrasian equilibrium. We study the price adjustment processes governed by the Euler...

This paper studies a production economy with indivisibilities. We provide a characterization for all Walraian equilibria and a necessary and sufficient condition for the existence of Walrasian equilibrium. We find a sufficient condition for every descening (ascending) price process to converge...

This paper studies an exchange economy with indivisibilities. Our main goal is to see if a price system can function well in an economy (e.g., an economy with complementary preferences) that does not have a Walrasian equilibrium. We study the price adjustment processes governed by the Euler...