We extend Jackson and Watts's (2002) result on the coincidence of S-stochastically stable and core stable networks from … marriage problems to roommate problems. In particular, we show that the existence of a side-optimal core stable network, on …

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 …

relation is restrictive in the sense that a deviating coalition cannot determine the payoffs of those coalitions that are not … structure core, the minimal dominant set returns this core. We provide an algorithm to find the minimal dominant set. …

and Wooders (1986) to obtain nonemptiness of the core of the economy. We then demonstrate, under the stronger condition of … strict small group effectiveness, that the equal treatment core coincides with the set of price-taking equilibrium outcomes … equilibrium follows from nonemptiness of the core and equivalence of the core to the set of equilibrium outcomes. Our approach …

assumption that an individual consumes at most one object. In this environment we analyze the core of the economy and … implicitly defined by a strategy-proof and Pareto efficient mechanism and show a core property for the mechanism …

economy, but unlike the weak fine core and the set of fine value allocations, it may also contain allocations which are not …