Figure 3.

Numerically determined Nash equilibria (NE) for asymmetric sects whose defining parameters and initial conditions are the same with the exception of either their sizes N_A>N_B (a) or their resources ω_A>ω_B (b). All (p_i,k_i) strategies satisfy the constraint defined by equation (4.8). The blue curves correspond to the (numerically or resource-wise) weaker sect B and the red curves to the stronger sect A. The solid, dashed and dash-dotted lines indicate three distinct (k_A,k_B) equilibria pairs; for instance the solid red and solid blue curves together describe the most asymmetric outcome. Parameters are set at λ=10, and ω_A=ω_B=ω=16 in (a); and at λ=10, ω_B=16 in (b). Note that since N_A and N_B always appear as a ratio in equation (4.15) and in the definition of x, we do not need to explicitly set their numerical values in (b) where N_A=N_B.