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Games 2013, 4(2), 163-181; doi:10.3390/g4020163

The Dynamics of Costly Signaling

Universiteit van Amsterdam, Institute for Logic, Language, and Computation, Science Park 904,1098XH Amsterdam, Netherlands
Received: 11 February 2013 / Revised: 1 April 2013 / Accepted: 11 April 2013 / Published: 26 April 2013
(This article belongs to the Special Issue Advances in Evolutionary Game Theory and Applications)
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Abstract

Costly signaling is a mechanism through which the honesty of signals can be secured in equilibrium, even in interactions where communicators have conflicting interests. This paper explores the dynamics of one such signaling game: Spence’s model of education. It is found that separating equilibria are unlikely to emerge under either the replicator or best response dynamics, but that partially communicative mixed equilibria are quite important dynamically. These mixtures are Lyapunov stable in the replicator dynamic and asymptotically stable in the best response dynamic. Moreover, they have large basins of attraction, in fact larger than those of either pooling or separating equilibria. This suggests that these mixtures may play significant, and underappreciated, roles in the explanation of the emergence and stability of information transfer.
Keywords: game theory; evolutionary dynamics; signaling; costly signaling game theory; evolutionary dynamics; signaling; costly signaling
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Wagner, E.O. The Dynamics of Costly Signaling. Games 2013, 4, 163-181.

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