Introduction to the Theory
of Cooperative Games systematically studies the main solutions of cooperative games: the
core, bargaining set, kernel, nucleolus, and the Shapley value of TU games, and the core,
the Shapley value, and the ordinal bargaining set of NTU games. To each solution a
separate chapter is devoted, in which its properties are investigated in full detail.
Moreover, important variants are defined or even intensively analyzed. Separate chapters
cover continuity, dynamics, and geometric properties of solutions of TU games. This study
culminates in uniform and coherent axiomatizations of all the foregoing solutions
(excluding the bargaining set). Except for the Shapley value such axiomatizations have not
appeared in any book.
Moreover, Introduction to
the Theory of Cooperative Games contains a detailed analysis of the main results on
cooperative games without side payments. Such analysis is very limited or non-existent in
the existing literature on game theory. This book is of interest to Game Theorists,
Economists, Mathematicians and Researchers in Operations Research, Political Science and
Social Science.
378 pages