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Lecture4 - Homework Due Friday 4PM Hand homework in to your...

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1/20/2009 1 Homework Due Friday 4PM Hand homework in to your GSI during discussion section OR Turn in homework to the specially marked box outside Lorch Hall 109 by 4:15 PM This week: Dixit and Skeath, Chapter 4 Simultaneous Move Games Extensive form games capture the timing structure of sequential move games Often games are simultaneous, or the sequential nature doesn’t matter Tennis serve Production planning Bidding for a contract Voting Example – Chet and Dave Note that “bottom” is best for Chet regardless Dave left right Chet top 1 , 5 7 , 3 bottom 3 , 1 8 , 4 Note that bottom is best for Chet regardless of what Dave does “bottom” is a dominant strategy for Chet A dominant strategy is strictly better for a player than any other strategy, regardless of the opponent’s strategy choice Example – Ella and Fitzgerald Fitzgerald left right Ella top 1 , 5 7 , 3 bottom 3 , 1 5 , 4 Here, nobody has a dominant strategy Dominant strategies are rare It is even more rare for both players to have a dominant strategy Example – Washing Dishes Roommate wash don’t wash Me wash 5 , 5 1, 10 don’t wash 10 , 1 3, 3 I have a dominant strategy: don’t wash Roommate’s dominant strategy: don’t wash
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