We extend Vind’s classical theorem on the measure of blocking coalitions valid in finite dimensional atomless economies … the general class of Aubin coalitions for which a suitable version of Grodal’s result (Grodal (1972)) is also formulated …. Our results wish to point out the relevance of cone conditions dealing with blocking coalitions of arbitrary measure or …

study of value theory and core theory. These two theories are the key to solving problems involving the allocation of goods …

, the set of Walrasian payoff vectors of the induced coalition production economy coincides with the core of the balanced … restricted concept of a Walrasian equilibrium enables us to discuss which coalitions are formed in an equilibrium. If the …

: (i) only eight configurations are possible for the core, which contains at most six allocations; (ii) for each core …

, the set of Walrasian payoff vectors of the induced coalition production economy coincides with the core of the balanced … restricted concept of a Walrasian equilibrium enables us to discuss which coalitions are formed in an equilibrium. If the …

groups, such as marriages, or clubs, or productive coalitions. It may be that participants in an economy even derive utility …: (a) equivalence of the core and the set of competitive outcomes; (b) the Shapley value is contained in the core or … approximate cores; (c) the equal treatment property holds -- that is, both market equilibrium and the core treat similar players …

of approximate core payoffs (the equal treatment property). The conditions are: (a) essential superadditivity -- an … 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 …

We identify particular exchange economies with asymmetric information in which the ex ante incentive compatible core is … nonempty provided that coalitions can allocate goods by means of random mechanisms. Both the use of random mechanisms and the … restriction to a specific class of economies are crucial for the result. Indeed, the ex ante incentive compatible core can be …