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1. Consider two firms producing an identical product in a market where the demand is described by p = 1; 200 2Y. The corresponding cost functions are c 1 (y 1 ) = y 2 1 and c 2
A strategy is dominated if, no matter what the other players do, the strategy earns a player a smaller payoff than another strategy. Hence, a method is dominated if it's invariably
Games with Sequential Moves Most students find the idea of rollback very simple and natural, even without drawing or understanding trees. Of course, they start by being able to
GAME PLAYING IN CLASS There are several games that are appropriate for use on the first or second day of class. These games are simple but can be used to convey important poin
Two people are involved in a dispute. Person 1 does not know whether person 2 is strong or weak; she assigns probability to person 2 being strong. Person 2 is fully informed. Each
Game Theory has evolved since its start as a thought exercise for academic mathematicians. Taught in economics departments , top business schools, and the strategic analysis, even
Two people are engaged in a joint project. If each person i puts in the e ort xi, a nonnegative number equal to at most 1, which costs her c(x i ), the outcome of the project is wo
Equilibrium payoffs are (4, 5). Player A’s equilibrium strategy is “S then S if n and then N if n again.” Player B’s equilibrium strategy is “n if S and then n if S again and then
GAME 3 Bargaining Two players A and B are chosen. Player A offers a split of a dollar (whole dimes only). If B agrees, both get paid the agreed coins and the game is over. If
A practice analogous to price fixing in which auction members form a ring whose associates agree not to bid against each other, either by discarding the auction or by placing phony
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