Piecewise linear hamiltonian flows associated to zero-sum games: Transition combinatorics and questions on ergodicity
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In this paper we consider a class of piecewise affine Hamiltonian vector fields whose orbits are piecewise straight lines. We give a first classification result of such systems and show that the orbit-structure of the flow of such a differential equation is surprisingly rich.
KeywordsHamiltonian systems non-smooth dynamics Filippov systems piecewise affine Arnol’d diffusion fictitious play best-response dynamics learning process
MSC2010 numbers37Jxx 37N40 37Gxx 34A36 34A60 91A20
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