where $V$ is the value of getting a full meal, and $C$ is the cost of getting injured in a competition. Like most EGT games the governing equation in the Dove-Hawk game is the replicator dynamic equation: $$ \frac{\partial x_i}{\partial t} = x_i \left [ f_i(x) - \sum_{j=1}^n x_j f_j(x) \right ] $$ where $x_i$ is the proportional ratio of strategy $i$ in the population and $f_i(x)$ is the fitness s