Evolutionary stability conditions for signaling games with costly signals

Journal of Theoretical Biology
Gerhard Jäger

Abstract

The paper investigates the class of signaling games with the following properties: (a) the interests of sender and receiver coincide, (b) different signals incur differential costs, and (c) different events (meanings/types) have different probabilities. Necessary and sufficient conditions are presented for a profile to be evolutionarily stable and neutrally stable, and for a set of profiles to be an evolutionarily stable set. The main finding is that a profile belongs to some evolutionarily stable set if and only if a maximal number of events can be reliably communicated. Furthermore, it is shown that under the replicator dynamics, a set of states with a positive measure is attracted to "sub-optimal" equilibria that do not belong to any asymptotically stable set.

References

Jun 21, 1990·Journal of Theoretical Biology·A Grafen
May 7, 1980·Journal of Theoretical Biology·R Selten
Oct 20, 2000·Journal of Mathematical Biology·P E Trapa, M A Nowak
Jul 1, 1982·Journal of the History of Biology·C U Smith

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Citations

Sep 21, 2013·Journal of the Royal Society, Interface·Thomas C Scott-Phillips, Richard A Blythe
Jul 30, 2011·Journal of Theoretical Biology·Christina PawlowitschNikolaus Ritt
Aug 17, 2014·Journal of Theoretical Biology·Kris De JaegherUtz Weitzel
Oct 2, 2014·Molecular BioSystems·Sabine HummertStefan Schuster

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