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A strategy is strictly dominant if, no matter what the other players do, the strategy earns a player a strictly higher payoff than the other. Hence, a method is strictly dominant if it's invariably strictly higher than the other strategy, for any profile of different players' actions. If a player contains a strictly dominant strategy, than he or she's going to invariably play it in equilibrium. Also, if one strategy is strictly dominant, than all others are dominated. for instance, within the prisoner's dilemma, every player contains a strictly dominant strategy.
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
Assurance game Scenario "Assurance game" may be a generic name for the sport a lot of commonly called "Stag Hunt." The French thinker, Jean Jacques Rousseau, presented the subse
Consider two identical firms, for each firm, the total cost of producing q units of output is C(q)=0.5q^2. The price is determined as P(q1,q2)- a-q1-q2. Estimate Cournots outcome;
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
A non-credible threat may be a threat created by a player in a very Sequential Game which might not be within the best interest for the player to hold out. The hope is that the thr
1. Find all NE of the following 2×2 game. Determine which of the NE are trembling-hand perfect. 2. Consider the following two-person game where player 1 has three strategie
A collection of colluding bidders. Ring members comply with rig bids by agreeing to not bid against one another, either by avoiding the auction or by putting phony (phantom) bids
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
Two individuals, Player 1 and Player 2, are competing in an auction to obtain a valuable object. Each player bids in a sealed envelope, without knowing the bid of the other player.
A type of auction in which the highest bidder is rewarded the object, but all bidders pay the auctioneer their bids. This differs from traditional first price auctions in which onl
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