This paper investigates stability properties of evolutionary selection dynamics in normal-form games. The analysis is focused on deterministic dynamics in continuous time and on asymptotic stability of sets of population states, more precisely of faces of the mixed-strategy space. The main result is a characterization of those faces that are asymptotically stable in all dynamics from a certain class, and the authors show that every such face contains an essential component of the set of Nash equilibria and, hence, a strategically stable set in the sense of E. Kohlberg and J. F. Mertens (1986). Copyright 1995 by The Econometric Society.
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Article provided by Econometric Society in its journal Econometrica.
Volume (Year): 63 (1995) Issue (Month): 6 (November) Pages: 1371-99 Download reference. The following formats are available: HTML,
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Jacques Durieu & Hans Haller & Nicolas Querou & Philippe Solal, 2007.
"Ordinal Games,"
Economics working paper series
07/74, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
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