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This article is cited in 5 scientific papers (total in 5 papers)
Piecewise linear Hamiltonian flows associated to zero-sum games: transition combinatorics and questions on ergodicity
Georg Ostrovski, Sebastian van Strien Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK
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.
Keywords:
Hamiltonian systems, non-smooth dynamics, Filippov systems, piecewise affine, Arnol’d diffusion, fictitious play, best-response dynamics, learning process.
Received: 14.10.2010 Accepted: 08.12.2010
Citation:
Georg Ostrovski, Sebastian van Strien, “Piecewise linear Hamiltonian flows associated to zero-sum games: transition combinatorics and questions on ergodicity”, Regul. Chaotic Dyn., 16:1-2 (2011), 128–153
Linking options:
https://www.mathnet.ru/eng/rcd432 https://www.mathnet.ru/eng/rcd/v16/i1/p128
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Abstract page: | 66 |
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