# Stability of cycling behaviour near a heteroclinic network model of Rock–Paper–Scissors–Lizard–Spock

@article{Postlethwaite2020StabilityOC, title={Stability of cycling behaviour near a heteroclinic network model of Rock–Paper–Scissors–Lizard–Spock}, author={Claire M. Postlethwaite and Alastair M. Rucklidge}, journal={Nonlinearity}, year={2020}, volume={35}, pages={1702 - 1733} }

The well-known game of Rock–Paper–Scissors can be used as a simple model of competition between three species. When modelled in continuous time using differential equations, the resulting system contains a heteroclinic cycle between the three equilibrium solutions representing the existence of only a single species. The game can be extended in a symmetric fashion by the addition of two further strategies (‘Lizard’ and ‘Spock’): now each strategy is dominant over two of the remaining four…

## 9 Citations

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We study a system of ordinary diﬀerential equations in R 5 that is used as a model both in population dynamics and in game theory, and is known to exhibit a heteroclinic network consisting in the…

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