  We study stochastic evolutionary game dynamics in a population of finite
size. Individuals in the population are divided into two dynamically evolving
groups. The structure of the population is formally described by a
Wright-Fisher type Markov chain with a frequency dependent fitness. In a strong
selection regime that favors one of the two groups, we obtain qualitatively
matching lower and upper bounds for the fixation probability of the
advantageous population. In the infinite population limit we obtain an exact
result showing that a single advantageous mutant can invade an infinite
population with a positive probability. We also give asymptotically sharp
bounds for the fixation time distribution.

Probability;Populations and Evolution