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Q3 Guess 5/6 of the Average Game A hundred players are participating in this game (N-100). Each player has to choose an integer between 1 and 100 in order to guess 5/6 of the average of the responses given by all players Each player who guesses the integer closest to the 5/6 of the average of all the responses, wins (a) Find all weakly dominated strategies (if any). (b) Find all strategies that survive the Iterative Elimination of Dominated Strategies (IEDS) (if any)

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a. A strategy is weakly dominant if ,regardless of what any other players do, the strategy earns a payer a playoff at least as high as any other strategy and the strategy earns a strictly higher payoff or some profile of other player' strategies

b. The iterative elimination of strongly dominated strategies [IESDS] are mixed equilibrium solution concepts are studied in an interated two-person investment game with discrete strategy spaces ,non-recoverable investments , and either equal or unequal investment.

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