Project CEMAPRE internal
| Title | Dynamics on polytopes and polymatrix replicators |
| Participants | Hassan Alishah, Pedro Duarte, Telmo Peixe (Principal Investigator) |
| Summary | Evolutionary game theory provides many examples of ODEs and flows where the phase space is a polytope. A computational technique to analyze the asymptotic dynamics along the polytope's edges has been developed by Duarte (2011), and Alishah, Duarte and Peixe (https://arxiv.org/pdf/1411.6227.pdf). A particular class of such ODEs defined on polytopes is the polymatrix replicators (see Alishah and Duarte(2015) and Alishah, Duarte and Peixe (2015)), which includes well known classes of evolutionary game dynamics, such as the symmetric and asymmetric games associated to replicator equations. We aim to expand and make these techniques user friendlier in order to disseminate their applicability. Moreover, we want to study the properties of the polymatrix replicators and the associated polymatrix games. |