This volume is a collection of contributions to the subject of multicriteria decision making and differential games, all of which are based wholly or in part on papers that have appeared in the Journal of Optimization Theory and Applications. The authors take this opportunity to revise, update, or enlarge upon their earlier publications. The theory of multicriteria decision making and differential games is concerned with situations in which a single decision maker is faced with a multiplicity of usually incompatible criteria, performance indices or payoffs, or in which a number of decision makers, or players, must take into account criteria each of which depends on the decisions of all the decision makers. The first six chapters are devoted to situations involving a single decision maker, or a number of decision makers in complete collaboration and thus being in effect a single decision maker. Chapters I -IV treat various topics in the theory of domination structures and nondominated decisions. Chapter V presents a discussion of efficient, or Pareto-optimal, decisions. The approach to multicriteria decision making via preference relations is explored in Chapter VI. When there is more than one decision maker, cooperation, as well as noncooperation, is possible. Chapters VII and VIII deal with the topic of coalitions in a dynamic setting, while Chapters IX and X address the situation of two unequal decision makers, a leader and a follower. Front Matter....Pages i-xv Cone Convexity, Cone Extreme Points, and Nondominated Solutions in Decision Problems with Multiobjectives....Pages 1-59 Nondominated Decisions and Cone Convexity in Dynamic Multicriteria Decision Problems....Pages 61-72 Generalization of Domination Structures and Nondominated Solutions in Multicriteria Decision Making....Pages 73-83 Compromise Solutions, Domination Structures, and Salukvadze’s Solution....Pages 85-101 Multiple-Objective Optimization: Proper Equality Constraints (PEC) and Maximization of Index Vectors....Pages 103-128 Sufficient Conditions for Preference Optimality....Pages 129-148 Individual and Collective Rationality in a Dynamic Pareto Equilibrium....Pages 149-161 A Sufficiency Condition for Coalitive Pareto-Optimal Solutions....Pages 163-172 On the Stackelberg Strategy in Nonzero-Sum Games....Pages 173-195 Additional Aspects of the Stackelberg Strategy in Nonzero-Sum Games....Pages 197-210 Switching Surfaces in N -Person Differential Games....Pages 211-232 Some Fundamental Qualifications of Optimal Strategies and Transition Surfaces in Differential Games....Pages 233-259 On a Nonsingular Singular Surface of a Differential Game....Pages 261-275 Equilibrium Existence Results for Simple Dynamic Games....Pages 277-295 A Class of Trilinear Differential Games....Pages 297-302 Value of Information in Two-Team Zero-Sum Problems....Pages 303-303 Role of Information in the Stochastic Zero-Sum Differential Game....Pages 305-319 Note on the Linear Quadratic Gaussian, Zero-Sum Differential Game with Asymmetric Information Structures....Pages 321-339 An Extension of Radner’s Theorem....Pages 341-351 Linear Differential Games with Delayed and Noisy Information....Pages 353-357 Mixed Strategy Solutions for Quadratic Games....Pages 359-367 Zero-Sum Games with Incompletely Defined Payoff....Pages 369-382 On a Problem of Stochastic Differential Games....Pages 383-397 The Game of Two Identical Cars....Pages 399-414 A Differential Game with Two Pursuers and One Evader....Pages 415-420 Back Matter....Pages 421-442 ....Pages 443-457
