Game theory: What is the maximum sum that Mary can secure?

Game theory: What is the maximum sum that Mary can secure?

Postby Solaris » Thu Jul 02, 2020 1:49 pm

Paul and Mary play a game with 12 marbles marked 1, 2, ... 12, and two baskets. First, Paul selects a basket, then Mary selects a marble and puts it in the basket. This continues until all marbles are distributed. Finally, Mary chooses a basket. What maximum sum can Mary can secure for herself? Prove your answer! (Note: Both make optimal selcetions).
Solaris
 
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