Stability and explanatory significance of some simple evolutionary models

Philosophy of Science 67 (1):94-113 (2000)
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Abstract

even if an equilibrium is asymptotically stable, that is no guarantee that the system will reach that equilibrium unless we know that the system's initial state is sufficiently close to the equilibrium. Global stability of an equilibrium, when we have it, gives the equilibrium a much more powerful explanatory role. An equilibrium is globally asymptotically stable if the dynamics carries every possible initial state in the interior of the state space to that equilibrium. If an equilibrium is globally stable, it can have..

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Brian Skyrms
University of California, Irvine

Citations of this work

Robustness Analysis.Michael Weisberg - 2006 - Philosophy of Science 73 (5):730-742.
Explanatory Depth.Brad Weslake - 2010 - Philosophy of Science 77 (2):273-294.
Evolution and the explanation of meaning.Simon M. Huttegger - 2007 - Philosophy of Science 74 (1):1-27.
Evolving Perceptual Categories.Cailin O’Connor - 2014 - Philosophy of Science 81 (5):110-121.

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References found in this work

Evolution of the Social Contract.Brian Skyrms - 1999 - Philosophical and Phenomenological Research 59 (1):229-236.
Evolution of the Social Contract.Brian Skyrms - 1997 - Philosophy 72 (282):604-606.
Bargaining With Neighbors.Jason Alexander & Brian Skyrms - 1999 - Journal of Philosophy 96 (11):588-598.

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