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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.
An auction during which just one item is on the market for sale. Procedures embody English, Dutch, and sealed bid auctions. When multiple units are sold in one auction, the auction
Problem:-Two players take turns choosing a number between 1 and 10 (inclusive), and a cumulative total of their choices is kept. The player to take the total exactly to 100 is the
A bid that indicates totally different costs for various quantitites of the item offered for sale. A series of price-quantity mixtures is tendered to the auctioneer.
A general term for an English auction in which there is no reserve price, guaranteeing that the object will be sold to the highest bidder regardless of the quantity of the bid.
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
a) Define the term Nash equilibrium b) You are given the following pay-off matrix: Strategies for player 1 Strategies for player 2
Assuming that there are only 2 airline companies in the world, Delta and US Airways, what is the ((Nash) Equilibrium) or price that each company in the following matrix will charge
One of the foremost common assumptions created in game theory (along with common information of rationality). In its mildest kind, rationality implies that each player is motivated
I have a problem with an exercise about Cournot game. It is very complex and it is composed by different question and it is impossible for me to write the complete text. I need som
Problem: Consider a (simplified) game played between a pitcher (who chooses between throwing a fastball or a curve) and a batter (who chooses which pitch to expect). The batter ha
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