Centre for Discrete and Applicable Mathematics |
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CDAM Research Report, LSE-CDAM-2006-04March 2006 |
Extensive Form Correlated Equilibrium: Definition and Computational Complexity
Bernhard von Stengel and Francoise Forges
Revised September 20, 2007
This paper defines the extensive-form correlated equilibrium (EFCE) for extensive games with perfect recall. The EFCE concept extends Aumann's strategic-form correlated equilibrium (CE). Before the game starts, a correlation device generates a move for each information set. This move is recommended to the player only when the player reaches the information set. In two-player perfect-recall extensive games without chance moves, the set of EFCE can be described by polynomial number of consistency and incentive constraints. Unless P = NP, this is not possible for the set of CE, or if the game has chance moves.
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