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...

We consider a basic stochastic evolutionary model with rare mutation and a best-reply (or better-reply) selection mechanism. Following Young's papers, we call a state stochastically stable if its long-term relative frequency of occurrence is bounded away from zero as the mutation rate decreases...

Previous experimental results on one-shot sequential two-player games show that group decisions are closer to the subgame-perfect Nash equilibrium than individual decisions. We extend the analysis of inter-group versus inter-individual decision making by running both one-shot and repeated...

We analyze a robust version of the Dynkin game over a set P of mutually singular probabilities. We first prove that conservative player's lower and upper value coincide (Let us denote the value by $V$). Such a result connects the robust Dynkin game with second-order doubly reflected backward...

This paper proposes and studies a mechanism modelling the emergence of cooperation in non-cooperative multi-player extensive form games. We consider such games enriched with additional “stage bidding actions”, where at each decision node of the game tree, before the player controlling that...

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 analyze whether incentives from relative performance pay are reduced or enhanced if a department is possibly terminated due to a crisis. Our benchmark model shows that incentives decrease in a severe crisis, but are boosted given a minor crisis since efforts are strategic complements in the...