: (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 …

: (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 …

incentive compatibility constraints: the associated ex ante core is generically non-empty. However, we exhibit a wellbehaved … exchange economy in which this core is empty, even if goods are allocated through random mechanisms. …

study of value theory and core theory. These two theories are the key to solving problems involving the allocation of goods …Lloyd Shapley is considered one of the pioneers of game theory. His most prominent contributions are the inception and … of market economies. His contributions to non-cooperative game theory include the introduction of stochastic games …

core (nonemptiness, boundedness, pointedness, extremal rays). …

Harsanyi set is related to the Core and Weberset. We also characterize the Harsanyi mapping as the unique mappingsatisfying a …

Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many such … nonnegative), and there is some hierarchical ordering of the players. In this paper we introduce the 'Restricted Core' for such … of the players. For totally positive games this solution is always contained in the 'Core', and contains the well …

different voting systems within the same parliamentary body. This paper analyzes the core and the Shapley value of three …-valued simple games. Using the concept of vital players, the vital core is constructed and we show that the vital core is a subset … of the core. The Shapley value is characterized on the class of all three-valued simple games. The model is applied to …

-building set. Properties of this solution are also studied. To establish core stability we introduce appropriate convexity …