Cores and generalized NM-solutions for some classes of cooperative games

In this paper consisting of three parts, interconnection is analyzed between nonsymmetric analogs of the Shapley value, core allocations, and generalized von Neumann-Morgenstern solutions for both TU-cooperative games and NTU-games, associated with pure exchange economies. Strong attention is paid to the accessibility of the cores via a dynamic process of subsequent improvements of dominated alternatives, as well as to the characterization of undominated outcomes in terms of Harsanyi imputations and market equilibrium mechanisms.