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A class of infinite dimensional replicator dynamics

Springer Proceedings in Mathematics (2011) 1 529-532
DOI: 10.1007/978-3-642-11456-4_33
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Abstract

We introduce a class of infinite dimensional replicator dynamics in the form of nonlinear and non local integrodifferential equations. We study the properties of the steady state of the equation and their connections with Nash equilibria of the game as well as the global stability of the steady state using techniques from the theory of variational inequalities and infinite dimensional dynamical systems.

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Kravvaritis, D., Papanicolaou, V., Xepapadeas, T., & Yannacopoulos, A. N. (2011). A class of infinite dimensional replicator dynamics. In Springer Proceedings in Mathematics (Vol. 1, pp. 529–532). Springer Verlag. https://doi.org/10.1007/978-3-642-11456-4_33

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