This book presents some of the most important concepts in noncooperative games and cooperative games and introduces as well the latest advances in the new field of game theory in fuzzy and multiobjective environments. Several game representations and solution concepts are introduced which take the amgiguity and the multiplicity of objectives into consideration. The book also demonstrates the computational methods applied for obtaining the solutions. The reader can learn much about fuzzy and multiobjective games for conflict resolution in most realistic settings without prior mathematical sophistication.
Introduction: Introduction and historical remarks; Outline of the books.- Fundamentals of two-person noncooperative games and n-person cooperative games: Two-person noncooperative games; n-person cooperative games.- Multiobjective fuzzy two-person zero-sum games: Multiobjective two-person zero.sum games with fuzzy goals; Multiobjective two-person zero-sum games with fuzzy payoffs and fuzzy goals.- Multiobjective fuzzy two-person non-zero-sum games: Multiobjective fuzzy two-person non-zero-sum games with fuzzy goals; Multiobjective fuzzy two-person non-zero-sum games with fuzzy payoffs and fuzzy goals.- Fuzzy n-person cooperative games: The least core and the nucleolus in games with fuzzy coalitions; Lexicographical solutions in games with fuzzy coalitions; n-person cooperative games with fuzzy coalition values; Fuzzy linear programming games.- Multiobjective n-person cooperative games: Cooperative games with multiple scenarios; Multiobjective n-person cooperative games; Multiobjective linear production programming games.