We study games with almost perfect information and an infinite time horizon. In such games, at each stage, the players simultaneously choose actions from finite action sets, knowing the actions chosen at all previous stages. The payoff of each player is a function of all actions chosen during the game. We define and examine the new condition of individual upper semicontinuity on the payoff functions, which is weaker than upper semicontinuity. We prove that a game with individual upper semicontinuous payoff functions admits a subgame perfect ϵ-equilibrium for every ϵ > 0, in eventually pure strategy profiles.
|Publisher||Maastricht University, Graduate School of Business and Economics|
|Number of pages||27|
|Publication status||Published - 14 Jan 2019|
|Series||GSBE Research Memoranda|
- c62 - Existence and Stability Conditions of Equilibrium
- c65 - Miscellaneous Mathematical Tools
- c72 - Noncooperative Games
- c73 - "Stochastic and Dynamic Games; Evolutionary Games; Repeated Games"
- almost perfect information
- subgame perfect ϵ-equilibrium
- individual upper semicontinuity
Flesch, J., Herings, P. J-J., Maes, J., & Predtetchinski, A. (2019). Individual upper semicontinuity and subgame perfect ϵ-equilibria in games with almost perfect information. Maastricht University, Graduate School of Business and Economics. GSBE Research Memoranda, No. 002 https://doi.org/10.26481/umagsb.2019002