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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.
Equilibrium payoffs are (2, 3, 2). Player A’s equilib- rium strategy is “N and then N if b follows N or N if d follows N” or “Always N.” Player B’s equilibrium strategy is “b if N
Case study GAME 1 Rock-Scissors-Paper This game entails playing three different versions of the children's game rock-scissors-paper. In rock-scissors-paper, two people si
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 i
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
James and Dean are playing the Chicken game. They have noticed that their payout for being perceived as "tough" depends on the size of the crowd. The larger the crowd, the "cooler"
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
1. The publishing industry in the country of Font, where the local currency is the stet, is dominated by two companies, the Arial Book Co. and Verdana Works Ltd.. Currently, both o
This chapter introduces mixed strategies and the methods used to solve for mixed strategy equilibria. Students are likely to accept the idea of randomization more readily if they t
A non-cooperative game is one during which players are unable to form enforceable contracts outside of these specifically modeled within the game. Hence, it's not outlined as games
GAME 4 Auctioning a Penny Jar (Winner’s Curse) Show a jar of pennies; pass it around so each student can have a closer look and form an estimate of the contents. Show the stud
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