We study a sequential order execution differential game over a finite time horizon in the Stackelberg duopoly framework, in contrast to the simultaneous Nash game investigated by Carlin et al (2007). In our game, there are two players, one leader and one follower, who maximize their expected...

Strategy changes are an essential part of evolutionary games. Here we introduce a simple rule that, depending on the value of a single parameter w, influences the selection of players that are considered as potential sources of the new strategy. For positive w players with high payoffs will be...