This paper studies the core in an oligopoly market with indivisibility. It provides necessary and sufficient conditions … for core existence in a general m-buyer n-seller market with indivisibility. When costs are dominated by opportunity costs … (i.e., a firm's variable costs are sufficiently small), the core condition can be characterized by the primitive market …

coalitional deviations. In the cooperative tradition, we first extend the notion of Core, taking into account the information a … single one. Secondly, we study the stability of Core mechanisms to secession proposals in simple noncooperative games. The … two different stability analyses, normative and strategic, tend to give support to the more natural extension of the Core …

over consumption goods, competitive equilibrium allocations exist and belong to the (ex ante incentive) core. Furthermore …, any competitive equilibrium allocation can be viewed as an element of the core of the n-fold replicated economy, for every …

It is shown that core-Walras equivalence fails whenever the commodity space is a non-separable Banach space. The … interpretation is that a large number of agents guarantees core-Walras equivalence only if there is actually a large number of agents … extremely dispersed, so that the standard theory of perfect competition fails. Supplementing the core-Walras non …

. Two core concepts are investigated: the private core, in which agents' net trades are measurable with respect to agents …' private information, and the incentive compatible core, in which coalitions of agents are restricted to incentive compatible …

This note provides two necessary and sufficient conditions for the relative interior of the core (and the base … greater than the minimum no-blocking payoff. Such conditions imply an intuitive method in proving core existence, they also … imply results on the sensitivity of the base polyhedron and the core. …