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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3answers
123 views

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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4answers
222 views

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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2answers
401 views

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 ...
6
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1answer
74 views

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 ...
4
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0answers
104 views

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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1answer
146 views

What is the justification of the card type Tribal in Magic the Gathering? [closed]

Many players and fan designers have been forever frustrated by the fact that in MtG, "Tribal" is a card type instead of a supertype. Having been digging at this for a while, I have to a conclusion: ...
5
votes
2answers
298 views

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, ...
4
votes
6answers
275 views

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 ...
1
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1answer
166 views

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 ...
8
votes
1answer
7k views

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? ...
1
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2answers
2k views

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 ...
15
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6answers
3k views

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 ...
1
vote
1answer
550 views

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 ...
3
votes
2answers
474 views

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 ...
31
votes
1answer
3k views

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 ...
21
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1answer
1k views

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 ...