In a tournament, agents form coalitions, and the coalition with largest power wins the tournament. We introduce a new solution concept for the tournaments, called no threat equilibrium (NTE). NTE is a partition of the agents, where prudent and farsighted agents have no incentive to deviate....

We prove that, in all finite generic extensive-form games of perfect information, a continuous-time best response dynamic always converges to a Nash equilibrium component. We show the robustness of convergence by an approximate best response dynamic: whatever the initial state and an allowed...