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Game Theory:
(prisoner's dilemma) Consider the following 2 x 2 pricing game, where rms choose whether to price High or Low simultaneously. Find the equilibrium in dominant strategies.
(coordination game) Consider the following 2 x 2 coordination game, where two rms (Firm A and Firm B) simultaneously choose product standard A or B. The payo matrix is given by
Find all Nash equilibria of this game.
(early-mover advantage) Again the two rms play the above coordination game. But now suppose Firm A moves rst. After observing Firm A's choice, Firm B subsequently chooses A or B. Draw the extensive form (game tree) of this game. Use backwards induction to identify the (subgame perfect) equilibrium.
Tower defense - is a subgenre of real-time strategy games. The goal of tower defense games is to try to stop enemies from crossing a map by building towers which shoot at them as t
A proxy bidder represents the interests of a bidder not physically gift at the auction. Typically, the bidder can inform his proxy of the most quantity he's willing to pay, and als
Write two methods for the mouse trap game (using your board created in Assignment 3) and an event handler (another method) to test the two methods. 1. world.raise(item) where
What is Game Theory?
Computer Game Zenda This game was invented by James Andreoni and Hal Varian; see their article, "Pre-Play Contracting in the Prisoners 'Dilemma".The paper also contains some co
Paired Prisoners' Dilemma Students can be paired off and instructed to play several ver-sions of a particular game with a prisoners' dilemma structure.Provide each pair with a
A sequential game is one among one in all if just one player moves at a time and if every player is aware of each action of the players that moved before him at every purpose. Tech
Ship, Captain and Crew (sometimes called Ship, Captain and Mate) was a popular bar game played for drinks with five dice and throwing cup. Each player gets three throws. He has to
In many cases we are interested in only one (or a few) of the equations of the model and attempts to measure its parameters statistically without a complete knowledge of the entire
In a repeated game it is often unspecified that players move concurrently at predefined time intervals. However, if few players update their policies at different time intervals, t
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