Basin entropy behavior in a cyclic model of the rock-paper-scissors type

Mean extinction times in cyclic coevolutionary rock-paper-scissors dynamics

Dynamical mechanisms that can stabilize the coexistence or diversity in biology are generally of fundamental interest. In contrast to many two-strategy evolutionary games, games with three strategies and cyclic dominance like the rock-paper-scissors game (RPS) stabilize coexistence and thus preserve biodiversity in this system. In the limit of infinite populations, resembling the traditional pi...

Negative outcomes evoke cyclic irrational decisions in Rock, Paper, Scissors

Rock, Paper, Scissors (RPS) represents a unique gaming space in which the predictions of human rational decision-making can be compared with actual performance. Playing a computerized opponent adopting a mixed-strategy equilibrium, participants revealed a non-significant tendency to over-select Rock. Further violations of rational decision-making were observed using an inter-trial analysis wher...

Using DSHM to Model Paper, Rock, Scissors

Dynamically Structured Holographic Memory (DSHM) is architecture for modeling memory. It was originally designed to account for long-term memory alone. However, the current model of Paper, Rock, Scissors (PRS) play (and Rock=2 PRS play) provides evidence that DSHM can be used to model tasks where the truth of facts change quickly and dynamically.

Spirals and heteroclinic cycles in a spatially extended Rock-Paper-Scissors model of cyclic dominance

Spatially extended versions of the cyclic-dominance Rock–Paper–Scissors model have traveling wave (in one dimension) and spiral (in two dimensions) behavior. The far field of the spirals behave like traveling waves, which themselves have profiles reminiscent of heteroclinic cycles. We compute numerically a nonlinear dispersion relation between the wavelength and wavespeed of the traveling waves...

Rock-Paper-Scissors in the Chemostat