Deterministic monotone dynamics and dominated strategies

Yannick Viossat (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We survey and unify results on elimination of dominated strategies by monotonic dynamics and prove some new results that may be seen as dual to those of Hofbauer and Weibull (J. Econ. Theory, 1996, 558-573) on convex monotonic dynamics.

Keywords: evolutionary game theory; evolutionary dynamics; dominated strategies; monotonic dynamics

Domains: Optimization and Control [math.OC]; Classical Analysis and ODEs [math.CA]; Economics and Finance; Dynamical Systems [math.DS]

Yannick Viossat. Deterministic monotone dynamics and dominated strategies. 2011. ⟨hal-00636620⟩