A survey on potential evolutionary game and its applications

Basic concepts about the finite potential games and the networked evolutionary games(NEGs)are introduced.Some new developments are surveyed,including(i)formulas for verifying whether a finite game is(weighted)potential and for calculating the(weighted)potential function;and(ii)the fundamental network equation and strategy profile dynamics of NEGs.Then some applications are introduced,which include:(i)convergence of NEGs;(ii)congestion control;(iii)distributed coverage of graphs.