GamesIncompleteInformation

GamesIncompleteInformation - Games of Incomplete...

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Unformatted text preview: Games of Incomplete Information L A T E X file: harsanyi — Daniel A Graham <[email protected]>, June 16, 2005 The Harsanyi Setup • n : the number of players. • D i : the set of possible actions or decisions available to the i th player, i = 1 ,...n . • T i : the set of possible types for the i th player. Each t i ∈ T i is a complete description of one possible state of the i th player’s private information and beliefs about any uncertain factors relevant to the game. • T- i = T 1 × ··· × T i- 1 × T i + 1 × ··· × T n : the set of possible combinations of types for all players other than i . • p i (t- i | t i ) : the subjective probability that the i th player assigns to the event that t- i ∈ T- i is the combination of other players’ types given that i ’s type is t i . • u i (d,t) : the (von Neumann) utility of the i th player when d = (d 1 ,...,d n ) is the combination of decisions and t = (t 1 ,...,t n ) is the combination of types....
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GamesIncompleteInformation - Games of Incomplete...

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