We prove the non-emptiness of the core of an NTU game satisfying a condition of payoff-dependent balancedness, based on … transfer rate mappings. We also define a new equilibrium condition on transfer rates and we prove the existence of core payoff … vectors satisfying this condition. The additional requirement of transfer rate equilibrium refines the core concept and allows …

-convexity, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link …

: (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 …

This paper investigates core stability of cooperative (TU) games via a fuzzy extension of the totally balanced cover of … a cooperative game. The stability of the core of the fuzzy extension of a game, the concave extension, is shown to … reflect the core stability of the original game and vice versa. Stability of the core is then shown to be equivalent to the …

In cooperative games, the core is one of the most popular solution concept since it ensures coalitional rationality …. For non-balanced games however, the core is empty, and other solution concepts have to be found. We propose the use of … particular, the k-additive core proposed by Grabisch and Miranda is a general solution preserving coalitional rationality which …

game, a payoff is in the partnered core of the game if it is partnered, feasible and cannot be improved upon by any … coalition of players. We show that the relative interior of the core of a game with side payments is contained in the partnered … core. For quasi-strictly convex games the partnered core coincides with the relative interior of the core. When there are …

function f. And we give the explicit expression, in the case of a convex capacity v = f o P, of a probability in the core of v …

My Back-Yard") problem. We derive and discuss conditions for core solutions to exist. These conditions are driven by the … particular, we construct a hypothetical example on a real administrative unit in which the core is shown to be empty. These …

-convexity, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link …

definition includes as a particular case the classical definition of pure exchange economy. We adapt the core concept to a … coalitional exchange economy, and we show the non-emptiness of the core. Finally, we discuss more general setting where individual …