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Game Theory : Two-Player Card Game

In the two-player game of Two Stacks, a deck of cards (with the joker added, for a total of 53 cards) is randomly divided into two piles. The two players take turns removing cards from one pile or the other. On a player's turn, that player may remove any positive number of cards from a single pile. The object of the game is to remove the last card. Is there a strategy you could use that would ensure that you would win, no matter what the other player does?

Solution Preview

The player who takes the first turn will win the game. His strategy is as follows.
The 53 cards are devided into two piles A and B. Pile A has m cards and Pile B has n cards. Since 53 is an odd number, m is not equal to n. If m>n, then the ...

Solution Summary

A winning strategy for a two-player card game is outlined.