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Cardinal payoffs are numbers representing the outcomes of a game where the numbers represent some continuum of values, such as money, market share or quantity. Cardinal payoffs permit the theorist to vary the intensity or degree of payoffs, unlike ordinal payoffs, in which only the order of values is pivotal. For mixed, payoffs, strategy calculations must be cardinal.
GAME 2 The Tire Story Another game that we have successfully played in the first lecture is based on the “We can’t take the exam; we had a flat tire”. Even if the students hav
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;
(a) Equilibrium payoffs are (1, 0). Player A’s equilibrium strategy is S; B’s equilibrium strategy is “t if N.” For (a): Player A has two strategies: (1) N or (2) S. P
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In any game, utility represents the motivations of players. A utility perform for a given player assigns variety for each potential outcome of the sport with the property that a be
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PROBABILITY AND EXPECTED UTILITY Most students know the elementary combinatorial rules for probability algebra and need only a refresher with some exam- ples. We have used card
Consider the situation in which Player M is an INCUMBENT monopolist in an industry, which makes a profit of $10m if left to enjoy its privileged position undisturbed. Player P is a
(a) A player wins if she takes the total to 100 and additions of any value from 1 through 10 are allowed. Thus, if you take the sum to 89, you are guaran- teed to win; your oppone
On a picnic outing, 2 two-person teams are playing hide-and-seek. There are four hiding locations (A, B, C, and D), and the two members of the hiding team can hide separately in a
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