Table 1 Matrix of payoffs for two-strategy games with +/− unilateral payoffs (T > 0 > S)

From: Competitive environments sustain costly altruism with negligible assortment of interactions

 

Cooperator

Defector

(a) Conferral of benefit b at net cost c

Cooperator

R = −c + b,

S = −c,

 

Ri = RT + r·b

Si = S + r·b

Defector

T = b,

P,

 

Ti = 0

P i

(b) Manufacture of public good b at net cost cb > 0

Cooperator

R = −c/2 + b,

S = –(cb),

 

Ri = RT + r·b

Si = S + r·b

Defector

T = b,

P,

 

Ti = 0

P i

  1. Each cell shows the payoff to the row strategy for its interaction with the column strategy, expressed as personal fitness (R, S, T, P) and as inclusive fitness (Ri, Si, Ti, Pi) given average relatedness r.