Both rematching proof and strong equilibrium outcomes are stable with respect to the true preferences in the marriage problem. We show that not all rematching proof or strong equilibrium outcomes are stable in the college admissions problem. But we show that both rematching proof and strong...

Consider a society with a finite number of players. Each player has personal preferences over coalitions in which he joints. A social outcome is a coalition structure that is defined by a partition of the set of players. We study the strategy proof core and von Neumann and Morgenstern (vN&M)...

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.