Consider the weighted majority game with N+1 players, weights (N/3, 1, ....,1), and quota q= N/2, where N is divisible by 6. Compute the Shapley value by considering the permutations of players and calculate the marginal contributions of each player. What is the limit of the Shapley value of the player with weight N/3 as N goes to infinity? Compute the Banzhaf value of this game.

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18-06-2024
Mathematics

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Consider the weighted majority game with N+1 players, weights (N/3, 1, ....,1), and quota q= N/2, where N is divisible by 6. Compute the Shapley value by considering the permutations of players and calculate the marginal contributions of each player. What is the limit of the Shapley value of the player with weight N/3 as N goes to infinity? Compute the Banzhaf value of this game.

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