Evolutionary Network Games: Equilibria from Imitation and Best Response Dynamics
Author
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-24
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We consider games of strategic substitutes and complements on networks and introduce two evolutionary dynamics in order to refine their multiplicity of equilibria.
Within mean field, we find that for the best-shot game, taken as a representative example of strategic substitutes, replicator-like dynamics does not lead to Nash equilibria, whereas it leads to a unique equilibrium for complements, represented by a coordination game.
On the other hand, when the dynamics becomes more cognitively demanding, predictions are always Nash equilibria: for the best-shot game we find a reduced set of equilibria with a definite value of the fraction of contributors, whereas, for the coordination game, symmetric equilibria arise only for low or high initial fractions of cooperators.
We further extend our study by considering complex topologies through heterogeneous mean field and show that the nature of the selected equilibria does not change for the best-shot game.
However, for coordination games, we reveal an important difference: on infinitely large scale-free networks, cooperative equilibria arise for any value of the incentive to cooperate.
Our analytical results are confirmed by numerical simulations and open the question of whether there can be dynamics that consistently leads to stringent equilibria refinements for both classes of games.
American Psychological Association (APA)
Cimini, Giulio. 2017. Evolutionary Network Games: Equilibria from Imitation and Best Response Dynamics. Complexity،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1143375
Modern Language Association (MLA)
Cimini, Giulio. Evolutionary Network Games: Equilibria from Imitation and Best Response Dynamics. Complexity No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1143375
American Medical Association (AMA)
Cimini, Giulio. Evolutionary Network Games: Equilibria from Imitation and Best Response Dynamics. Complexity. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1143375
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143375