We study optimal behavior of energy producers under a CO2 emission abatement program. We focus on a two-player discrete-time model where each producer is sequentially optimizing her emission and production schedules. The game-theoretic aspect is captured through a reducedform price-impact model for the CO2 allowance price. Such duopolistic competition results in a new type of a non-zero-sum sto...

The classical constant-sum ‘silent duel’ game had two antagonistic marksmen walking towards each other. A more friendly formulation has two equally skilled marksmen approaching targets at which they may silently fire at distances of their own choice. The winner, who gets a unit prize, is the marksman who hits his target at the greatest distance; if both miss, they share the prize (each gets a ‘...

We prove that every two player non zero-sum stopping game in discrete time admits an -equilibrium in randomized strategies, for every > 0. We use a stochastic variation of Ramsey Theorem, which enables us to reduce the problem to that of studying properties of -equilibria in a simple class of stochastic games with finite state space.