EvoDyn-3s: A Mathematica computable document to analyze evolutionary dynamics in 3-strategy games

EvoDyn-3s generates phase portraits of evolutionary dynamics, as well as data for the analysis of their equilibria. The considered evolutionary dynamics are ordinary differential equations based on adaptive processes taking place in a population of players who are randomly and repeatedly matched in...

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Detalles Bibliográficos
Autores: Izquierdo Millán, Luis Rodrigo, Izquierdo, Segismundo S., Sandholm, William H.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:Universidad de Burgos (UBU)
Repositorio:Repositorio Institucional de la Universidad de Burgos (RIUBU)
OAI Identifier:oai:riubu.ubu.es:10259/4899
Acceso en línea:http://hdl.handle.net/10259/4899
Access Level:acceso abierto
Palabra clave:Evolutionary dynamics
Game theory
Mathematica
Phase portrait
Stability
Gestión de empresas
Industrial management
Descripción
Sumario:EvoDyn-3s generates phase portraits of evolutionary dynamics, as well as data for the analysis of their equilibria. The considered evolutionary dynamics are ordinary differential equations based on adaptive processes taking place in a population of players who are randomly and repeatedly matched in couples to play a 2-player symmetric normal-form game with three strategies. EvoDyn-3s calculates the rest points of the dynamics using exact arithmetic, and represents them. It also provides the eigenvalues of the Jacobian of the dynamics at the isolated rest points, which are useful to evaluate their local stability. The user only needs to specify the 3 × 3 payoff matrix of the game and choose the dynamics.