Title: Infinite sequential games with real-valued payoffs
Abstract: We investigate the existence of certain types of equilibria (Nash, ε-Nash, subgame perfect, ε-subgame perfect) in infinite sequential games with real-valued payoff functions depending on the class of payoff functions (continuous, upper semi-continuous, Borel) and whether the game is zero-sum. Our results hold for games with two or up to countably many players.