Figure 3 | Scientific Reports

Figure 3

From: α-Rank: Multi-Agent Evaluation by Evolution

Figure 3

Conceptual examples of finite-population models, for population size \(m=50\) and ranking-intensity \(\alpha =0.1\). (a) Payoffs (top) and single-population discrete-time dynamics (bottom) for Rock-Paper-Scissors game. Graph nodes correspond to monomorphic populations R, P, and S. (b) Payoffs (top) and multi-population discrete-time dynamics (bottom) for Battle of the Sexes game. Strategies O and M respectively correspond to going to the Opera and Movies. Graph nodes correspond to monomorphic population profiles (s1; s2). The stationary distribution p has 0.5 mass on each of profiles (O;O) and (M;M), and 0 mass elsewhere.

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