Reconsider the examples discussed in Section 10.4.3 under an

 

evolutionary system given by the following differential equations:

where α and β are given positive parameters and sgn{·} stands for the sign function,

i.e., sgn{x} is equal to 1,−1, or 0 depending on whether x is positive, negative, or

zero, respectively. (Note that any such evolutionary system is payoff-monotonic at

interior states but not regular.) Characterize the induced dynamics both for the example

that has been labeled “trading complementarities” (Subsection 10.4.3.1) and

for that labeled “risky trading” (Subsection 10.4.3.2). Compare your conclusions

with those obtained in the text under an RPMES.