Abstract
We prove the existence of a pure subgame-perfect epsilon-equilibrium, for every epsilon > 0, in multiplayer perfect information games, provided that the payoff functions are bounded and exhibit common preferences at the limit. If, in addition, the payoff functions have finite range, then there exists a pure subgame-perfect 0-equilibrium. These results extend and unify recent existence theorems for bounded and semicontinuous payoffs.
Original language | English |
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Pages (from-to) | 1208-1221 |
Number of pages | 14 |
Journal | Mathematics of Operations Research |
Volume | 41 |
Issue number | 4 |
DOIs | |
Publication status | Published - Nov 2016 |
Keywords
- perfect information games
- subgame perfect equilibrium
- STOCHASTIC GAMES
- perfect information games