BEST RESPONSE DYNAMICS FOR CONTINUOUS ZERO{SUM GAMES

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ASYMPTOTIC BEHAVIOR OF SECOND-ORDER DISSIPATIVE EVOLUTION EQUATIONS COMBINING POTENTIAL WITH NON-POTENTIAL EFFECTS ∗ (2009, background): “A central question in game theory, decision sciences and economics is to describe realistic dynamics which converge to Nash equilibria, see [30] and the references herein.”
Nash Equilibrium Seeking in Noncooperative Games (2012, background): “Continuous-time best response dynamics are studied for more general scenarios in [47], [48].”
Invariant Risk Minimization Games (2020, background): “There are diﬀerent strategies in the literature to compute the equilibrium, such as best response dynamics (BRD) and ﬁctitious play [4], but none of these strategies are guaranteed to arrive at equilibria in continuous games except for special classes of games [32, 33, 34, 35].”
Convergence of a Relaxed Inertial Forward–Backward Algorithm for Structured Monotone Inclusions (2019, background): “An application to Nash equilibration with inertia A central question in game theory, decision sciences and economics is to describe realistic dynamics which converge to Nash equilibria, see [27] and the references therein.”
Evolutionary game dynamics (2011, methodology): “This is shown using suitable Ljapunov functions [1,2,6].”