24 votes
Accepted

In two-player games with perfect information, if both players play optimally, will the game always end in a draw?

Accurding to Zermelo's theorem, in finite two-player games of perfect information in which the players move alternately and no affect of chance, one of those three possibilities is true: First player ...
Cohensius's user avatar
  • 4,177
20 votes

How important is game theory in Dominion?

One of the clearest examples of game theory in Dominion shows up quite frequently in 2 player endgames, and it's called the Penultimate Province Rule (PPR). Basically, you should avoid buying the ...
Nuclear Hoagie's user avatar
16 votes
Accepted

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

Tl;dr: Players' meta-goals do affect gameplay. And unless all players have the same goals, the entire concept of "best player" isn't well defined, let alone "second best", etc. First a bit of game-...
Benjamin Cosman's user avatar
9 votes

In two-player games with perfect information, if both players play optimally, will the game always end in a draw?

No - there need not always be a tie in the general case. Even in games of perfect complete information there may still be a bias towards one player. For example the game of nim cannot end in a tie, ...
tttppp's user avatar
  • 9,293
7 votes

How did makers of "Gwent" set scores for each card?

Playtesting. Playtesting. More playtesting. And then once you're done with that, some more playtesting. Any TCG which is complicated enough to be interesting for human players is far too complicated ...
Philip Kendall's user avatar
6 votes

How important is game theory in Dominion?

Some cards are very dependent on the actions your opponents, and some are not. e.g. buy Tribute if you see your opponent to the left buy lots of different cards, don't buy it if they are not. ...
HugoRune's user avatar
  • 190
5 votes
Accepted

Identify this game with 4 players, each have 2 choices

This is what game theory would term a 4-player symmetric game. Based on the payoff matrix, it seems most similar to being a 4-player version of Chicken (A.K.A. Hawk-Dove). The key to Chicken is that ...
Zags's user avatar
  • 18k
4 votes

4 Color Burn + Dark Confidant decktech

This isn't a good idea for several reasons. I'll focus on the main one: Burn decks don't want to play a grindy game where card advantage is paramount. Burn decks want to end the game as soon as ...
Allure's user avatar
  • 13.3k
3 votes

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

I don't know if you'd consider these "rules issues" or not; they're certainly not as bad as an instant on the field, but the rules as currently worded don't allow for subtypes to be ...
Michael Snook's user avatar
3 votes
Accepted

Are games like Alquerque solved? Are they fair games with perfect play?

While I cannot find a formal proof, Alfonso X's "Libro de los Juegos" offers an anecdotal report that the solution to the game is a tie: if both players known how to play it, they can both ...
Zags's user avatar
  • 18k
2 votes

Early game bidding as Greyjoy

The answer to this question will be very heavily dependent on your group, and their groupthink. In my experience, often bidding 3 on the blade would not result in getting it (I would probably be 2nd ...
Hal's user avatar
  • 654
1 vote

In two-player games with perfect information, if both players play optimally, will the game always end in a draw?

You are missing a couple of important factors in your question that make it impossible to answer as it stands. Mainly that a game with perfect information available to both players doesn't mean that ...
Joe W's user avatar
  • 14.1k
1 vote

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

In a game where there is a scoring function, one can always rank players beyond the winner into 2nd, 3rd, etc. The real question is whether positions beyond first have any value. That question ...
Zags's user avatar
  • 18k
1 vote

Why should a player call "cheat" and risk taking the entire stack of cards?

This is actually a variation on the Game Theory problem The Volunteer's Dilemma. Essentially, there is a cost to you calling cheat (The chance of being wrong and taking cards), and a benefit to all ...
Cain's user avatar
  • 438

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