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Figure 4 | BMC Evolutionary Biology

Figure 4

From: Statistical measures for defining an individual's degree of independence within state-dependent dynamic games

Figure 4

Example of statistics being used to explore the results of a two-player dynamic game. This example uses the forage-rest dynamic game detailed in the appendix of [17] (note that the parameter values given here purely for the purpose of illustration, and the reader is referred to this paper for an explanation of their meaning). The optimal policy and stable paired state distributions were generated for nine parameter sets, where the predation risk of foraging together m T (shown here as the value on the 'predation risk' axis) varies between being equal to the predation risk when resting m R (set here at 2 × 10-7, equal to the left-most value of m T ) and being equal to the predation risk when foraging alone m A (set here at 10 × 10-7, equal to the right-most value of m T ). This means that when m T = m A , there is no fitness advantage to an individual basing its actions upon the state of its co-player. Following the notation of [17], the other model parameters are set at c max = 3.0 state units, g max = 6.0 state units, k = 10-12, λ = 0.01, μ F = 1.5 state units, μ R = 1.0 state units, ν1, ν2 = 4.0 state units, ψ1, ψ2 = 1.0 state units, maximum state possible = 20 state units, σ F , σ R = 0.5 state units.

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