Index
E(X, Y), 234
asymptotic stability, 253
Banzhaf-Coleman index, 200
bargaining
Nash’s theorem, 251
battle of the sexes game, 87
best response set
definition, 241
best response strategy, 235, 240
calculus method, 244
finding interior saddle points, 36
characteristic function, 248
scheduling problem, 182
core of a cooperative game
condition to be nonempty, three-person game, 249
definition, 249
deviant strategy, 252
division of land game, 147
dominated imputations, 249
equality of payoffs, 243
equilibrium theorem, 236
ESS is a Nash equilibrium, 254
evolutionary stable strategy
definition, 252
excess function
definition, 248
game of chicken, 66
game with invertible matrix, 237
games
and evolutionary stable strategies, 252
battle of sexes, 87
characterization of value and saddle, 235
chicken, 67
completely mixed, 237
core of, 249
equality of payoffs theorem, 240
expected payoff, 234
mixed strategy, 234
Nash’s bargaining theorem, 251
safety value for nonzero sum, 240
Shapley value, 251
welfare problem, 81
garbage game, 176
hawk–dove game, 88
invertible matrix theorem for nonzero sum games, 82
losing coalition, 251
lower value, 233
Maple commands
stability and instability, 220
maxmin strategy for player I, 240
maxmin strategy for player II, 240
mixed strategies
expected payoff E(X, Y), 234
Nash equilibrium, 240
and evolutionary stable strategies, 254
definition for bimatrix games, 240
equality of payoffs, 240
existence for continuous strategies, 246
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