  In this paper, we show that different types of evolutionary game dynamics
are, in principle, special cases of a dynamical system model based on our
previously reported framework of generalized growth transforms. The framework
shows that different dynamics arise as a result of minimizing a population
energy such that the population as a whole evolves to reach the most stable
state. By introducing a population dependent time-constant in the generalized
growth transform model, the proposed framework can be used to explain a vast
repertoire of evolutionary dynamics, including some novel forms of game
dynamics with non-linear payoffs.
