Index 313 PoA 64 pricing techniques 66, 184, 190­1, 213, 224­7, 253­5 resources 65­6 social welfare 63­4, 248­9 equilibrium existence 42­55, 67, 84­8, 105, 120­1, 123, 185, 187, 249 concepts 42­55, 67, 75, 84­8 definition 42­3 differential games 67, 93­7 dynamic games 67, 70­1, 157, 184, 196, 246 extensive form games 53 mixed Nash equilibrium 52­3, 253­4 pure Nash equilibrium 44­51, 53­5, 75­7, 113, 184, 214, 249 repeated games 75­9, 184, 196­204, 246 stochastic games 84, 88­9, 184, 204­6, 246, 268­73 equilibrium point 201, 213, 224, 256 see also dynamical systems; stationary state definition 282 equilibrium selection 42, 58­61, 123­4 concave games 59­60, 123­4 concepts 42, 58­61, 123­4 concepts 70, 97­113, 153­4, 172­4 definition 97­8 generic formulation of population games 103­6 heterogeneous populations 105­6, 153­4, 172­4, 255­6 homogeneous populations 103­5 MAC 111­13 pairwise interaction model 99­102, 103 PoA 111 single population case 99­100 two-population case 100­2 uses 97­8 wireless networks 98, 111 evolutionary stable solution 30, 35­6 see also solution concepts; unbeatable state concept definition 35­6 exact potential games (EPG) 46­8, 139, 223 see also potential games definition 46 examples of game theory uses 4­8 excess utility dynamics 107, 172 see also Brown-von Neumann-Nash dynamics definition 172