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We theoretically demonstrate the realization of a chiral edge mode in asystem beyond natural science. Specifically, we elucidate that a kagome networkof rock-paper-scissors (K-RPS) hosts a chiral edge mode of the populationdensity which is protected by the non-trivial topology in the bulk. Theemergence of the chiral edge mode is demonstrated by numerically solving theLotka-Volterra (LV) equation. This numerical result can be intuitivelyunderstood in terms of cyclic motion of a single RPS cycle which is analoguesto the cyclotron motion of fermions. Furthermore, we point out that alinearized LV equation is mathematically equivalent to the Schr\"odingerequation describing quantum systems. This equivalence allows us to clarify thetopological origin of the chiral edge mode in the K-RPS; a non-zero Chernnumber of the payoff matrix induces the chiral edge mode of the populationdensity, which exemplifies the bulk-edge correspondence in two-dimensionalsystems described by evolutionary game theory.

Chiral edge modes in evolutionary game theory: a kagome network of rock-paper-scissors