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 …

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 …

We show that the characterization result of the weak core correspondence in simple games in Takamiya et al. (2018 …

Solymosi and Raghavan (2001) characterize the stability of the core of the assignment game by means of a property of … the valuation matrix. They show that the core of an assignment game is a von Neumann-Morgenstern stable set if and only if …

allocations. When defining the core of a dynamic game, we allow the possibility for coalitions to deviate at any time and thereby … core solutions: fair core, stable core and credible core. We characterize the first two in case where the instantaneous …

solution for TU-games. Existence is proved for the class of convex games. Furthermore, the core of a positive valued convex …