A large literature uses matching models to analyze markets with two-sided heterogeneity, studying problems such as the … matching of students to schools, residents to hospitals, husbands to wives, and workers to firms. The analysis typically … assumes that the agents have complete information, and examines core outcomes. We formulate a notion of stable outcomes in …

well-known that the strict core of such a game may be empty, single-valued, or multivalued. We define a condition on such … core allocation in the model with no indifference). We prove that a game has a nonempty strict core if and only if it is … a strict core allocation or a report that the strict core is empty. Finally, we are also able to construct a linear …

The results are presented from several experiments. They include the selection of points in the core, interpersonal …

In this paper we examine the structure of the core of a trading economy with three competitive equilibria as the number … of traders (N) is varied. We also examine the sensitivity of the multiplicity of equilibria and of the core to variations … in individual initial endowments. Computational results show that the core first splits into two pieces at N = 5 and then …

Three variations of the core of a market game representing an exchange economy are considered and compared. The … possibility for utilizing the Walrasian core to reflect certain monetary phenomena is noted. …

make investments before matching in a competitive market. We introduce the notion of premuneration values -- the values to …

are no transaction costs, the outcome of this matching and bargaining game should be the unique competitive equilibrium … equilibrium that survives is the unique competitive outcome. This will be done both for the random matching and for the voluntary … matching models. Thus the paper demonstrates that complexity costs might have a role in providing a justification for the …