An Introduction to Evolutionary Game Theory: Lecture 2 - School of ...
An Introduction to Evolutionary Game Theory: Lecture 2 - School of ...
An Introduction to Evolutionary Game Theory: Lecture 2 - School of ...
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OutlookFurther <strong>to</strong>pics and some open problems (non-exhaustive list):Replica<strong>to</strong>r dynamics for Q × Q games:For Q ≥ 3: Replica<strong>to</strong>r equations ⇒ cycles, oscillations, chaos(Q > 3), ...Spatial degrees <strong>of</strong> freedom and role <strong>of</strong> mobility (PDE): patternformationQ × Q games with mutationsS<strong>to</strong>chastic evolutionary dynamics:S<strong>to</strong>chastic evolutionary game theory on lattices and graphsCombined effects <strong>of</strong> mobility, fluctuations, and selectionFor Q × Q games, with Q ≥ 3:Diffusion approximation (Fokker-Planck equation)Fixation and extinction times (e.g. as first-passage problems)Generalization <strong>of</strong> the concept <strong>of</strong> ESS NMauro Mobilia <strong>Evolutionary</strong> <strong>Game</strong> <strong>Theory</strong>: <strong>An</strong> <strong>Introduction</strong>, <strong>Lecture</strong> 2
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