Dynamic Noncooperative Game Theory, Second Edition
By Geert Jan Olsder

Index

A

Absolute continuity, 479
Action, 5
Action set, 219
Admissible Nash equilibrium solution, 79
Advertising game, 6
Aeronautics application, 456
Affine-quadratic continuous-time optimal control, 238
Affine-quadratic differential game, 312
Affine-quadratic discrete-time optimal control, 234
Average Stackelberg cost, 182
Average value, 480

B

Banach space, 472
Bang-bang-bang surface, 468
Barrier, 245, 435, 447
Battle of the sexes, 80, 87
Behavioral Stackelberg equilibrium, 143
Behavioral strategies, 44, 143
Behavioral strategies in infinite dynamic game, 216
Behavioral strategies in multi-act games, 50
Better pair of strategies, 79
Bimatrix games, 78
Borel set, 478
Braess paradox, 203
Brouwer s fixed point theorem, 92

C

Canonical equations, 243
Capturability, 434
Cauchy problem, 255
Cauchy sequence, 472
Cauchy Schwarz inequality, 481
Causality, 217
Closed set, 472
Closed-loop, 247
Closed-loop imperfect state (CLIS) information, 221
Closed-loop no-memory (CLNM) Nash equilibrium solution, 267
Closed-loop perfect state (CLPS) information, 221, 225
Collision avoidance, 451
Compact set, 472
Complete vector space, 472
Completely mixed Nash equilibrium, 86
Concavity, 473
Concurrent Stackelberg solution, 186
Conflict, 1
Conic surveillance evasion, 468
Constant strategy, 7, 41
Constant-sum game, 3
Continuity, 473
Control function, 224
Cooperative game, 5
Cost function(al), 98, 221, 223
Costate vector (variable), 242
Cournot duopoly situation, 199
Cumulative (joint) probability, 479
Cusp, 441

D

Decision maker, 1
Decision point, 445, 451
Decision rule, 5
Delayed commitment, 108, 112, 121
Differential game, 2, 224
Dimension of a set, 472
Dimensional random vector, 478
Dirichlet problem, 255
Discount factor, 259
Discrete-time infinite game, 223
Dispersal line, 443
Dispersal surface (line), 442
Divide and rule,...
Copyright The Society for Industrial and Applied Mathematics 1999 under license agreement with Books24x7
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