Expectation: When I play C, I expect to get 1(opponent is C) When I play D, I expect to get 1+r(opponent is C) Thus, when opponent is C, received expected no incentive to make any changes Thus, dissatisfaction comes in only when opponent plays D switch character or rewiring We define a parameter, called the disappointment S, when opponent plays d as expected payoff-received payoff=P(a,c)-P(a, D) Switching probabitity2as→P=BS (Here, we take B=1/2) if not switched, cut link and rewire to someone else Node-driven dynamics CD-links AND DD-links are the active links(possible system evolution)
Expectation: When I play C, I expect to get 1 (opponent is C) When I play D, I expect to get 1+r (opponent is C) Thus, when opponent is C, received = expected => no incentive to make any changes Thus, dissatisfaction comes in only when opponent plays D => switch character or rewiring S= expected payoff – received payoff = P(α,C)-P(α,D) We define a parameter, called the disappointment S, when opponent plays D as Switching Probability P S→ P=β S If not switched, cut link and rewire to someone else. (Here, we take β =1/2) Node-driven dynamics CD-links AND DD-links are the active links (possible system evolution)
Probabilities for the 4 adaptive events that lead to system evolution 1.0 Pprewire=(1+r)2 CR PDR PCrewire=l-r/2 0.5 D switch (1-r)/2 CS 2 DS 0.5 1.0 Dissatisfied Adaptive Snowdrift Game"(DASG
PC,switch= r/2 PD,switch=(1- r)/2 PC,rewire=1- r/2 PD,rewire=(1+r)/2 Probabilities for the 4 adaptive events that lead to system evolution “Dissatisfied Adaptive Snowdrift Game” (DASG)