Table 3 Payoff matrix for two players with the same fighting ability (i.e. equal competitors). The expressions in each cell of the matrix represent the average payoffs of the row player
From: Game theory elucidates how competitive dynamics mediate animal social networks
Hawk | Dove | Assessor | |
|---|---|---|---|
Hawk | \({E}_{e}\left(H,H\right)=\frac{V}{2}-c\) | \({E}_{e}\left(H,D\right)=V\) | \({E}_{e}\left(H,A\right)=\frac{3V+a-c}{2}\) |
Dove | \({E}_{e}\left(D,H\right)=0\) | \({E}_{e}\left(D,D\right)=\frac{V}{2}\) | \({E}_{e}\left(D,A\right)=\frac{V+3a}{4}\) |
Assessor | \({E}_{e}\left(A,H\right)=\frac{V-a}{4}-\frac{c}{2}\) | \({E}_{e}\left(A,D\right)=\frac{3V-3a}{4}\) | \({E}_{e}\left(A,A\right)=\frac{2V-c}{4}\) |