We introduce and study a mean-field model for system of spatially distributed players interacting through an evolutionary game driven by replicator dynamics. Strategies evolve dynamics influenced the position interaction between different return feedback on velocity field guiding their motion. One main novelties our approach concerns description whole system, which can be represent-dimensional ...

We extend recent results on affine Volterra processes to the inhomogeneous case. This includes moment bounds of solutions equations driven by a Brownian motion with an kernel K(t,s) and drift diffusion coefficients b(s,Xs) σ(s,Xs). In case b σσT we show how conditional Fourier–Laplace functional can be represented solution Riccati–Volterra integral equation. For convolution type K(t,s)=K¯(t−s) ...