Maximise Global Gain in the Minority Game

Figure 4

Global average gain as a function of 𝜌=2^𝑀/𝑁(𝑀=8,𝑆=2). The results for the partially altruistic case (solid curve) are always better than those for the naïve (random) case (dotted) or the selfish case (circled). The latter shows a maximum at some 𝜌 and is better than the naïve case only when 𝜌 is large enough. (The results are the average of 30 samples of random initial strategies. For each sample, we ran 50⋅2^𝑀 time steps and collected the data of the last2^𝑀+1 time steps for the average.)