Section 15.5 presents a general linear programming formulation for finding an optimal mixed strategy for player 1 and for player 2. Using Table 6.14, show that the linear programming problem given for player 2 is the dual of the problem given for player 1.
Answer to relevant QuestionsConsider the linear programming models for players 1 and 2 given near the end of Sec. 15.5 for variation 3 of the political campaign problem (see Table 15.6). Follow the instructions of Prob. 15.5-6 for these two models. Find the saddle point for the game having the following payoff table. Use the minimax criterion to find the best strategy for each player. Does this game have a saddle point? Is it a stable game? An athletic league does drug testing of its athletes, 10 percent of whom use drugs. This test, however, is only 95 percent reliable. That is, a drug user will test positive with probability 0.95 and negative with probability ...Betsy Pitzer makes decisions according to Bayes’ decision rule. For her current problem, Betsy has constructed the following payoff table (in units of dollars): (a) Which alternative should Betsy choose? (b) Find EVPI. (c) ...The Athletic Department of Leland University is considering whether to hold an extensive campaign next year to raise funds for a new athletic field. The response to the campaign depends heavily upon the success of the ...
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