This paper studies an exchange economy with a finite number of agents in which each agent is initially endowed with a finite number of (personalized) indivisible commodities. We observe that the core equivalence theorem may not hold for this economy when the coalitional form game is generated in...

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)...

This paper studies the job matching market in Kelso and Crawford(1982) with one exception that co-workers may generate utility or disutility in the workplace. We provide a simple idea to show how a great number of sufficient condiions for a nonempty core in the literature can be extended to this...

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...

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 the job matching market in Kelso and Crawford(1982) with one exception that co-workers may generate utility or disutility in the workplace. We provide a simple idea to show how a great number of sufficient condiions for a nonempty core in the literature can be extended to this...