Bayesian Game

Track 8: Bayesian Game*

 

John Harsanyi game transformation[1]

John Harsanyi game transformation

John Harsanyi game transformation

John Harsanyi game transformation

Every player, every type of player

In a real-life situation players have incomplete information

Many players. many types of players

In a real-life situation players have incomplete information

Sunday morning, game theoretic warnings

Sunday morning, game theoretic warnings 

John Harsanyi game transformation

John Harsanyi game transformation

Every type of players are selected by lot, each population of individuals contains different types of players

Many players, many types of players

In a real-life situation, players have incomplete information

Sunday morning, game theoretic warnings

Sunday morning, game theoretic warnings

John Harsanyi game transformation

John Harsanyi game transformation

Sunday morning, game theoretic warnings

Sunday morning, game theoretic warnings

John Harsanyi game transformation, 

Bayesian game, Bayesian game 

John Harsanyi game transformation, 

John Harsanyi game transformation

Sunday morning, game theoretic warnings.



*Text by Marco Marini. Music by Marco Marini, Elisa Pezzuto and Valter Sacripanti. All rights reserved.

Voices: Marco Marini, Elisa Pezzuto. Guitars: David Pieralisi, Marco Marini, Bass: David Pieralisi. Drum: Valter Sacripanti, 

Production: Valter Sacripanti. Mastering: Fabrizio De Carolis.

 

[1] John C. Harsanyi (1920-2000) was a Hungarian economist who introduced a game transformation turning a game of incomplete information (where some or all players are not aware of some of the relevant game’s features) into a much more manageable game of imperfect information (Harsanyi 1967, 1968a,1968b). A transformed game is denoted Bayesian game, one where each player is assigned by Nature a set of characteristics, which define their type in accordance to a probability distribution known to everyone. By calculating the outcome of this game using notions of Bayesian probability, makes possible to calculate a Nash equilibrium of the game, thus defined Bayesian Nash equilibrium.  



REFERENCES

 

Harsanyi, John C., (1967). "Games with Incomplete Information Played by Bayesian Players, I-III." Management Science 14 (3): 159-183 (Part I), 14 (5): 320-334 (Part II), 14 (7): 486-502 (Part III).

Harsanyi, John C. (1968a). "Games with Incomplete Information Played by "Bayesian" Players, I-III. Part II. Bayesian Equilibrium Points". Management Science. 14 (5): 320–334. 

Harsanyi, John C. (1968b). "Games with Incomplete Information Played by "Bayesian" Players, I-III. Part III. The Basic Probability Distribution of the Game". Management Science. 14 (7): 486–502.