Game theory is a study of strategic decision making. More formally, it is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers."

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What is the optimal strategy to solve Hanoi Solitaire?

I recently discovered for the first time a variation of Solitaire called Hanoi (sometimes spelled Hanoy or Hanoii). My Solitaire app says it's rated easy, but I have never solved it because I only get ...
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What's the best strategy to win a tic-tac-toe variant on a 5x5-board?

First: We assume that every player is playing at its best Rules 5x5 board Player 1 begins and puts every turn one cross “X”. Player 2 puts every turn two circles “O”. They don’t have to be next to ...
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Hex game strategy

I was teaching myself how to play a hex board game by reading some books. I learned how to do $2$ x $2$ and $3$ x $3$ hex games by starting at the principal diagonal. I wanted to know what the winning ...
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Is Ultimate Tic Tac Toe solved?

Ultimate Tic Tac Toe is an interesting variant of Tic Tac Toe where in each of the 9 fields, “regular” game of Tic Tac Toe is played; see the link for details. Has this game been solved already? ...
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Maximum attainable points for a single player in a two player game of Carcassonne

Let's start this question with the following assumptions about a game of Carcassonne: It's a two player game. The game is using the current basic set of rules/tiles. edit: just to be clear, I'm ...
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What is the optimal strategy in Quantum Tic Tac Toe?

Quantum Tic Tac Toe is a variant of Tic-Tac-Toe with "entangled" states (there are even iPhone and Android apps). In essence, a classic naught or cross isn't placed until the 'quantum state' of the ...
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Is Circus Maximus solvable?

Circus Maximus is a chariot racing game in which players place their 3 chariots within the starting gate, and then take turns racing around the oval course to be the first to place all 3 chariots at ...
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What are the main results in game theory regarding Go?

What are the main mathematical results concerning Go? Go is a game with simple rules and big game complexity. It is inefficient to apply primitive chess AI methods (such as position brute force and ...