# Tagged Questions

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 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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### 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 ...
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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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### Is it correct to infer a second, third etc place in board games with a score?

This may stray a bit into philosophy, but I believe it has some real-world impacts. Many games rank players during the game, and some leave players in some sort of order at the end (ie. a 'score'). ...
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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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### Early game bidding as Greyjoy

You are playing the 6p Game of Thrones (2nd Ed) as Greyjoy. At the end of the first round, everyone still has exactly 5 power tokens. At the start of the second, a bidding on the influence tracks ...
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### How important is game theory in Dominion?

A lot of the strategic advice I've read for Dominion seems to be based around honing your deck based on fixed criteria - which cards are good, which work well together, when to start buying Provinces, ...
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### Why should a player call “cheat” and risk taking the entire stack of cards?

In a game of cheat/bullshit with at least three players, what is the incentive for a player to challenge a claim when he/she does not stand to gain anything in winning the challenge, but risks taking ...
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### Othello - Most number of legal moves in a given turn

Can anyone help me figure out the what the largest number of possible moves for a given turn would be in Othello/Reversi? On the first turn, there are 4 possible legal moves, the next player has 3 ...
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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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### Dominant strategy in chess

Is there any proof ensuring there can be no dominant strategy for chess? By dominant strategy, I mean a way of playing that always works regardless what the opponent do.
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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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### 4 Color Burn + Dark Confidant decktech

This is a theory/decktech question. Lets say you're playing 4 color burn (R,W,B,G) and your opponent is running something with spikey lifegain (Feed the Clan and a few Tarmogoyfs for example), so ...