Piecewise linear Hamiltonian flows associated to zero-sum games: transition combinatorics and questions on ergodicity

DOI10.1134/S1560354711010059zbMath1225.37122arXiv1011.2018MaRDI QIDQ2430541

Georg Ostrovski, Sebastian J. van Strien

Publication date: 7 April 2011

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2018

zbMATH Keywords

Hamiltonian systemsfictitious playFilippov systemsnon-smooth dynamicsbest response dynamicspiecewise affine mappings

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Discontinuous ordinary differential equations (34A36) Multistage and repeated games (91A20) Dynamical systems in optimization and economics (37N40) Combinatorial dynamics (types of periodic orbits) (37E15)

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Dynamics of a continuous piecewise affine map of the square, Fictitious play in \(3 \times 3\) games: chaos and dithering behaviour, From Darwin to Poincaré and von Neumann: recurrence and cycles in evolutionary and algorithmic game theory, Payoff performance of fictitious play, Asymptotics in a family of linked strip maps

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