On evolutionary ray-projection dynamics

• DOI: 10.1007/s00186-010-0342-1
• Publication Date: 2011-01-03T12:36:28Z
• Authors: Reinoud Joosten; Berend Roorda
• Keywords: Simplex; Equilibrium point; Replicator equation

We introduce the ray-projection dynamics in evolutionary game theory by employing a ray projection of relative fitness (vector) function, i.e., unto unit simplex along through origin. Ray-projection are weakly compatible terminology Friedman (Econometrica 59:637–666, 1991), each their interior fixed points is an equilibrium and one its points. Furthermore, every evolutionarily stable strategy asymptotically point, strict state equilibrium. also employ on set functions related to function show that several well-known can be obtained this manner.