Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity

Abstract

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.

30 pages, 19 figures

Cited by in corpus (2)

• Asymptotics in a family of linked strip maps
• Hamiltonian of polymatrix zero-sum games