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Ronaldo (Brazil) kicks a penalty against Casillas (Spain) in the 2006 World Cup nal. Sup- pose that Ronaldo can kick the ball to Casillas' upper left (UL), lower left (LL), upper r
Rollback (often referred to as backward induction) is an iterative method for solving finite in depth kind or sequential games. First, one determines the optimal strategy of the pl
Two animals are fighting over a prey. The prey is worth v to each animal. The cost of fighting is c1 for the first animal (player 1) and c2 for the second animal (player 2). If the
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
A type of initial worth auction during which a "clock" initially indicates a worth for the item for sale substantially beyond any bidder is probably going to pay. Then, the clock g
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
In many cases we are interested in only one (or a few) of the equations of the model and attempts to measure its parameters statistically without a complete knowledge of the entire
Consider the electoral competition game presented in Lecture 6. In this game there are two candidates who simultaneously choose policies from the real line. There is a distribution
A proxy bidder represents the interests of a bidder not physically gift at the auction. Typically, the bidder can inform his proxy of the most quantity he's willing to pay, and als
Take a news story, old or recent, and analyze it from a game theoretic perspective. Provide a hard copy of the source of your news story and consult relevant game theoretic literat
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