A technique to determine closed-loop Nash equilibria of n-player differential games is developed when their dynamic state-control system is composed of decoupled ODEs. In particular, the theory of Lie point symmetries is exploited to achieve firrst integrals of such systems

I characterise the subgame perfect equilibrium of a differential market game with hyperbolic demand where firms are quantity-setters and accumulate capacity over time `a la Ramsey. I show that the open-loop solution is subgame perfect. Then, I analyse the feasibility of horizontal mergers, and...

We study a game of strategic experimentation with two-armed bandits where the risky arm distributes lump-sum payoffs according to a Poisson process. Its intensity is either high or low, and unknown to the players. We consider Markov perfect equilibria with beliefs as the state variable and show...

In contexts in which players have no priors, we analyze a learning process based on ex-post regret as a guide to understand how to play games of incomplete information under private values. The conclusions depend on whether players interact within a fixed set (fixed matching) or they are...

Two firms selling a homogenous product to two types of buyers are involved in a sequential pricing game with zero costs. The pricing strategy available involves a fixed price and a royalty. It is shown that there exists a unique subgame perfect equilibrium with positive profits to both firms if...

Closed exchange and production-and-exchange economies may have multiple equilibria, a fact that is usually ignored in macroeconomic models. Our basic argument is that default and bankruptcy laws are required to prevent strategic default, and these laws can also serve to provide the conditions...

We show that for many classes of symmetric two-player games, the simple decision rule "imitate if-better'' can hardly be beaten by any strategy. We provide necessary and sufficient conditions for imitation to be unbeatable in the sense that there is no strategy that can exploit imitation as a...

In a voluntary partnership prisoner's dilemma, equilibrium discounted payoff at the origin of a partnership also serves as the worst feasible threat with which to sustain cooperation. In a population model, we introduce the Markov strategy and characterize neutrally stable equilibrium. We...

Theoretical literature on collusion has focused on a specific formulation of payoff fluctuations, namely by demand shocks, and showed that payoff fluctuations are bad for collusion. Introducing general payoff fluctuations, we show that (i) payoff fluctuations may strictly reduce the minimum...

We study bankruptcy games where the estate and the claims have stochastic values. We use the Weak Sequential Core as the solution concept for such games. We test the stability of a number of well known division rules in this stochastic setting and find that most of them are unstable, except for...