In this paper, the authors define belief-free equilibria in two-player games with incomplete information as sequential equilibria for which players’ continuation strategies are best-replies, after every history, independently of their beliefs about the state of nature. They characterize a set...

The paper has a twofold aim. On the one hand, it provides what appears to be the first game-theoretic modeling of Napoleon’s last campaign, which ended dramatically on 18 June 1815 at Waterloo. It is specifically concerned with the decision Napoleon made on 17 June 1815 to detach part of his...

The paper suggests that military history should be subjected to modelling based on the mathematical theories of rational choice, and especially the theory of games. This suggestion primarily concerns military events that have already been reported in narratives focusing on the agents'...

Dynamic decision-making without commitment is usually modelled as a game between the current and future selves of the decision maker. It has been observed that if the time-horizon is infinite, then such games may have multiple subgame-perfect equilibrium solutions. We provide a sufficient...