Table 2.

Conditions and responses to all opponent strategies.

opponent strategy	response	conditions
A	a	$F<p-(c_{\text{f}}-\beta /V)$(2.3)
w	never
r	$$F>p-(c_{\text{f}}-\beta )/V$$ 2.6 (2.6)
W	a	$\alpha >(c_{\text{f}}-c_{\text{d}})/V$ (2.7) and $$F<p+\alpha -(c_{\text{f}}/V)$$ 2.7 (2.8)
w	$$\alpha <(c_{\text{f}}-c_{\text{d}})/V$$ 2.9 (2.9) and $$F<p-(c_{\text{d}}/V)$$ 2.10 (2.10)
r	$$F>p+\alpha -(c_{\text{f}}/V)$$ 2.11 (2.11) and $$F>p-(c_{\text{d}}/V)$$ 2.12 (2.12)
R	a	never
w	always, as γ>0 and F<1
r	never
a	A	$$F<(1-p)-(c_{\text{f}}-\beta )/V$$ 2.13 (2.13)
W	never
R	$$F>(1-p)-(c_{\text{f}}-\beta )/V$$ 2.14 (2.14)
w	A	$\alpha >(c_{\text{f}}-c_{\text{d}})/V$ (2.7) and $$F<1-(p-\alpha )-(c_{\text{f}}/V)$$ 2.15 (2.15)
W	$\alpha <(c_{\text{f}}-c_{\text{d}})/V$ (2.9) and $$F<(1-p)-(c_{\text{d}}/V)$$ 2.16 (2.16)
R	$$F>1-(p-\alpha )-(c_{\text{f}}/V)$$ 2.17 (2.17) and $$F>(1-p)-(c_{\text{d}}/V)$$ 2.18 (2.18)
r	A	never
W	always, as γ>0 and F<1
R	never