Details

Autor(en) / Beteiligte

• Ahmed, Elsayed M. E.
• Elgazzar, Ahmed S.
• Shehata, Mohamed I.

Titel

On Differences between Fractional and Integer Order Differential Equations for Dynamical Games

Ist Teil von

• Zeitschrift für Naturforschung. A, A journal of physical sciences, 2008-04, Vol.63 (3), p.152-154

Ort / Verlag

Verlag der Zeitschrift für Naturforschung

Erscheinungsjahr

2008

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We argue that fractional order differential equations are more suitable to model complex adaptive systems. Hence they are applied in replicator equations for non-cooperative games. 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 fractional order asymmetric game is shown to have a locally asymptotically stable internal solution. This is not the case for its integer order counterpart.