On Dynamical Cournot Game on a Graph
Cournot dynamical game is studied on a graph. The stability of the system is studied. Prisoner's dilemma game is used to model natural gas transmission.
cs.GT↗
arXiv subjects
M. I. Shehata
Publications and source records attributed to M. I. Shehata.
On stability in dynamical Prisoner's dilemma game with non-uniform interaction rates
Stability of evolutionary dynamics of non-repeated Prisoner's Dilemma game with non-uniform interaction rates [1], via benefit and cost dilemma is studied . Moreover, the stability condition (b+c/b-c)2 < r1r3 is derived in case of coexistence between cooperators and defectors .If r1,r3 -> infinity cooperation is the dominant strategy and defectors can no longer exploit cooperators.
q-bio.PE↗
On differences between fractional and integer order differential equations for dynamical games
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.
q-bio.PE↗
On stability, persistence and Hopf bifurcation of fractional order dynamical system
This is a preliminary study for bifurcation in fractional order dynamical systems. Stability, persistence and hopf bifurcation are studied. Some studies are also done for functional equations.
nlin.CG↗