Equilibria in multi-player multi-outcome infinite sequential games

We investigate the existence of various types of equilibria (Nash, subgame perfect, Pareto-optimal, secure) in multi-player multi-outcome infinite sequential games. Our results are transfer theorems: Assuming determinacy for a class of simple two-player win/lose games, we obtain existence results about equilibria in the associated multi-player multi-outcome games.

Authors

• Stéphane Le Roux
• Arno Pauly

Keywords

• Perfect information
• Borel measurable
• Determinacy
• Nash
• Subgame-perfect
• Pareto optimal
• Secure equilibrium