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Multiple-criteria decision making. Concepts, techniques, and extensions. With the assistance of Yoon-Ro Lee and Antonie Stam. (English) Zbl 0643.90045

Mathematical Concepts and Methods in Science and Engineering, 30. New York-London: Plenum Press. XIV, 388 p. (1985).
Chapter and selective section titles: (1) Introduction; (2) Binary relations; (3) Pareto optimal or efficient solutions: convexity, proper efficiency, differentiability, decomposition theorems, optimality conditions; (4) Goal setting and compromise solutions: satisficing solutions, interactive methods, computations; (5) Value function: revealed preference, additivity, monotonicity, separability; (6) Some basic techniques for constructing value functions: indifference curves, tangent planes, gradients, approximation; (7) Domination structures and nondominated solutions: cones, polars, duality, interactive approximations; (8) Linear cases, MC- and \(MC^ 2\)-simplex methods: optimal weights, nondominated faces, separation, adjacency, connectedness; (9) Behavioral bases and habitual domains of decision making: internal information processing, least resistence principle, social psychology, Halo effect, negatiation, gaming; (10) Further topics: interactive methods, adapted gradient search, surrogate worth trade off, uncertain outcomes, stochastic dominance, mean-variance dominance, utility dominance, multicriteria dynamic optimization, optimal control, second-order games.

MSC:

90C31 Sensitivity, stability, parametric optimization
91B06 Decision theory
91B16 Utility theory
91A35 Decision theory for games
90B50 Management decision making, including multiple objectives
90-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming
91B08 Individual preferences
91A40 Other game-theoretic models