We formulate and study a two-player duel game as a terminal payoffs stochastic game. Players 𝑃1,𝑃2 are standing in place and, in every turn, each may shoot at the other (in other words, abstention is allowed). If 𝑃𝑛 shoots 𝑃𝑚 (𝑚≠𝑛), either they hit and kill them (with...

We study a continuous-time problem of optimal public good contribution under uncertainty for an economy with a finite number of agents. Each agent can allocate his wealth between private consumption and repeated but irreversible contributions to increase the stock of some public good. We study...

Harris, Reny, and Robson (1995) added a public randomization device to dynamic games with almost perfect information to ensure existence of subgame perfect equilibria (SPE). We show that when Nature's moves are atomless in the original game, public randomization does not enlarge the set of SPE...

We analyze information design games between two designers with opposite preferences and a single agent. Before the agent makes a decision, designers repeatedly disclose public information about persistent state parameters. Disclosure continues until no designer wishes to reveal further...