Coopetitive Dynamics in Evolutionary Game Theory

Coopetitive Dynamics in Evolutionary Game Theory David Carfì

IAMIS, University of Messina, Italy davidcar[email protected]

Conference on The Applications of Fractal Geometry & Dynamical Systems Theory, Riverside (USA), June, 2012

Abstract

In this talk, we shall deal with the dynamical aspects induced by coopetition in Evolutionary Game Theory and, particularly, with the dynamics in the coopetitive extensions of a normal-form game, in view of their evolutionary possible issues. Several dynamical processes and set-valued dynamical processes are generated by a single coopetitive game. We shall concentrate our attention, specically, on the Nash coopetitive paths, on the payo coopetitive multi-path, on the Pareto coopetitive multi-path and on the evolutionary stable strategy coopetitive paths of a coopetitive game, in consideration of their possible applications to Economics and Biology.

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available as Researchgate Paper at


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stabilization. MPRA Paper 39240, pages 138, 2012.

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F.

Contracts:

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Complete

Analysis

Markets and

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Models

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for

Deriva-

and

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Credit Lambert

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Preface:

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troducing pisrs. AAPP | Physical, Mathematical, and Natural Sciences, 90(S1):14, 2012.

https://dx.doi.org/10.1478/AAPP.90S1E1.

[78] D. Carfì, G. Patanè, and S. Pellegrino. tainability in Project Financing.

Coopetitive games and sus-

In Moving from the crisis to sus-

tainability. Emerging issues in the international context, pages 175182.

http://www.francoangeli.it/Ricerca/Scheda_ libro.aspx?CodiceLibro=365.906. Also available as Researchgate Paper at https://www.researchgate.net/publication/254444035_ Coopetitive_games_and_sustainability_in_project_financing. Franco Angeli, 2011.

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ematical Models in Economics, pages 4466. ASERS Publishing House,

http://www.asers.eu/asers-publishing/collections.html. https://www.researchgate. net/publication/283345871_Asymmetric_Bertrand_duopoly_game_ complete_analysis_by_algebra_system_Maxima.

2011.

Also available as Researchgate Paper at

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[82] D. Carfì and E. Perrone. Game Complete Analysis of Bertrand Duopoly.

Theoretical and Practical Research in Economic Fields, 2(1(3)):522,

http://www.asers.eu/journals/tpref/tpref-past-issues. html. Also available as MPRA Paper at http://mpra.ub.uni-muenchen. de/31302/. 2011.

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and

E.

Perrone.

Game

Complete

Analysis

of

Bertrand

In Laura Ungureanu, editor, Mathematical Models in Eco-

Duopoly.

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sis

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and

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E.

http://mpra.ub.uni-muenchen.de/

Perrone.

Economic

Game

Duopolies.

Complete Lambert

AnalyAcademic

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[86] D. Carfì and E. Perrone. Game complete analysis of symmetric Cournot


duopoly.

uni-muenchen.de/35930/.

http://mpra.ub.

[87] D. Carfì and A. Pintaudi. Optimal Participation in Illegitimate Market Activities:

Complete Analysis of 2-Dimensional Cases.

Journal of Ad-

http:// www.asers.eu/journals/jarle/jarle-past-issues.html. Also available as MPRA Paper at https://mpra.ub.uni-muenchen.de/37822/. vanced Research in Law and Economics, 3(1(5)):1025, 2012.

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Complete Analysis of 2-Dimensional Cases.

pages 120, 2012.

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https://mpra.ub.uni-muenchen.de/37822/.

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Non-reactive strategies in decision-form

games. AAPP | Physical, Mathematical, and Natural Sciences, 87(2):1 12, 2009.

https://dx.doi.org/10.1478/C1A0902002.

[90] D. Carfì and A. Ricciardello. An algorithm for payo space in

C 1 -Games.

AAPP | Physical, Mathematical, and Natural Sciences, 88(1):119, 2010.

https://dx.doi.org/10.1478/C1A1001003.

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https://dx.doi.org/10.13140/RG.2.1.2368.9685. 10


C1

Parametric Games.

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In S. Greco, B. Bouchon-Meunier, G. Coletti,

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