Athletic Conference. Topnotch University and Southpaw State are athletic rivals.
ID: 1164027 • Letter: A
Question
Athletic Conference. Topnotch University and Southpaw State are athletic rivals. Each is considering joining a new conference, which means scheduling most of their games with teams in that conference. They would like to continue to schedule one another, and that will be easier if they are in the same conference, but each has other rivalries they would like to maintain. Their strategies are the conferences they might choose: the Alpine Conference (A), the Big North (B), Central Colleges (C), or the Dust Bowl Conference (D). Payoffs are shown in Table 4.E4, on the usual scale of 1 to 10.
a) What Nash equilibria exist, if any?
b) Apply IEIS to determine which strategies are rationalizable.
Table 4.E4. An Athletic Conference Choice Game Southpaw A 8,7 6,6 4,7 2,8 B 5,4 10,9 4,5 3,61 C 6,95,4 9,107,3 D 5,84,75,6 6,4 TopnotchExplanation / Answer
N ash Equlibrium : is also k/as( PSNE ) PURE STRATEGY NASH EQULIVBRIUM, in this each players strategy is best to his opponents strategy that are the components of equilibrium.
there fore s=(s1......sn)e s and i s is,u (s1,s-i)) z u( si,s-i)
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