On differences between fractional and integer order differential equations for dynamical games
Populations and Evolution
2015-05-13 v1
Abstract
We argue that fractional order (FO) differential equations are more suitable to model complex adaptive systems (CAS). Hence they are applied in replicator equations for non-cooperative game. Rock-Scissors-Paper game is discussed. It is known that its integer order model does not have a stable equilibrium. Its fractional order model is shown to have a locally asymptotically stable internal solution. A FO asymmetric game is shown to have a locally asymptotically stable internal solution. This is not the case for its integer order counterpart.
Cite
@article{arxiv.0801.1560,
title = {On differences between fractional and integer order differential equations for dynamical games},
author = {E. Ahmed and A. S. Elgazzar and M. I. Shehata},
journal= {arXiv preprint arXiv:0801.1560},
year = {2015}
}
Comments
4 pages