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SINCE World War II and particularly in the last decade game theory has acquired broad interest, attention, and application by behavioral scientists. Basically, game theory is an attempt to simulate mathematically a situation of decision-making so as to discover the most rational decision. Situations involving two or more "persons" (that is, sets of individuals, groups or environments with isomorphic interests and/or capabilities) can be simulated. Currently game theory is employed in both university and corporate research for studying problems in the areas of economics, sociology, political science, international relations, and militarydefense strategy.

"What is a game? Classically, a game is perceived as something played by human beings. Its mathematical analysis is human-centered, explores the structures of particular games, economic or social environments and tries to model supposedly "rational" human behavior in search of appropriate "winning strategies". This point of view places game theory into a very special scientific corner where mathematics, economics and psychology overlap and mingle. This book takes a novel approach to the subject. Its focus is on mathematical models that apply to game theory in particular but exhibit a universal character and thus extend the scope of game theory considerably. This textbook addresses anyone interested in a general game-theoretic view of the world. The reader should have mathematical knowledge at the level of a first course in real analysis and linear algebra. However, possibly more specialized aspects are further elaborated and pointers to relevant supplementary literature are given. Moreover, many examples invite the reader to participate "actively" when going through the material. The scope of the book can be covered in one course on Mathematical Game Theory at advanced undergraduate or graduate level"--

Historical notes and references for the Foreword and Introduction -- 1 Noncooperative games -- 1 Noncooperative games and their components -- 2 Optimality principles in noncooperative games -- 3 Realizability of A-optimality principles -- 4 Realizability of A-principles in metastrategies -- 5 Realizability of equilibrium situations in mixed strategies -- 6 Natural topology in games -- Notes and references for Chapter 1 -- 2 Finite noncooperative games -- 1 Finite noncooperative games -- 2 Dyadic games -- 3 Solution of general finite noncooperative games -- 4 On the structure of the set of equilibria in finite noncooperative games -- 5 The complexity of solution of finite noncooperative games -- 6 Reduction to three-person games -- Notes and references for Chapter 3 -- 3 Two-person zero-sum games -- 1 Optimality in two-person zero-sum games -- 2 Basis of the maximin principle -- 3 Minimax theorems -- 4 Finitely additive strategies -- 5 Analytic games on the unit square -- 6 Separable games -- 7 Convex games -- 8 Games with a simple payoff function -- 9 Games of timing -- Notes and references for Chapter 3 -- 4 Matrix games -- 1 Basic concepts and propositions -- 2 Solution of matrix games of small format -- 3 Matrix games and linear programming -- 4 Description of all equilibrium situations in matrix and bimatrix games -- 5 Solution of matrix games with matrix payoffs of a special form -- 6 Approximate methods for solving matrix games -- 7 Structure of the set of a matrix game -- Notes and references for Chapter 4 -- References -- Collections -- List of Joint Authors -- Index of Notations.

Game theory is a branch of mathematics that studies strategic interactions, i.e., interactions which involve more than one agent and in which each agent makes her/his decision while striving to predict the decisions of other agents. Game theory has been successfully applied in many areas of both the natural and social sciences, and it is the belief of this book's author that it can also be gainfully invoked in the area of legal philosophy. In this book, Wojciech Zaluski analyzes legal-philosophical concepts - such as legal interpretation, justice, legal rights, contract law, tort law, and prop

This paper examines the problem of achieving global cooperation to reduce greenhouse gas emissions. Contributions to this problem are reviewed from noncooperative game theory, cooperative game theory, and implementation theory. We examine the solutions to games where players have a continuous choice about how much to pollute, as well as games where players make decisions about treaty participation. The implications of linking cooperation on climate change with cooperation on other issues, such as trade, are also examined. Cooperative and noncooperative approaches to coalition formation are investigated in order to examine the behavior of coalitions cooperating on climate change. One way to achieve cooperation is to design a game, known as a mechanism, whose equilibrium corresponds to an optimal outcome. This paper examines some mechanisms that are based on conditional commitments, and their policy implications. These mechanisms could make cooperation on climate change mitigation more likely.