What is the optimal strategy for the Dictionary Game?
$begingroup$
In the Dictionary Game, $n$ players take turns saying English words. The first player starts by choosing any word, which splits the dictionary in two parts. The next player chooses a part and picks a word in that part which will split that part into two smaller parts. This continues until one player is no longer able to find a word.
Note that the players do not actually use a dictionary, they can only say words they know. Additionally, when a player says a word the other player doesn't know, the other players will learn the word and be able to use it in a future round.
- What is the optimal strategy, assuming the game is played once?
- What is the optimal strategy, assuming the game is played $m$ times?
game-theory
asked 4 mins ago
StefanStefan
4446
$endgroup$
add a comment |
$begingroup$
In the Dictionary Game, $n$ players take turns saying English words. The first player starts by choosing any word, which splits the dictionary in two parts. The next player chooses a part and picks a word in that part which will split that part into two smaller parts. This continues until one player is no longer able to find a word.
Note that the players do not actually use a dictionary, they can only say words they know. Additionally, when a player says a word the other player doesn't know, the other players will learn the word and be able to use it in a future round.
- What is the optimal strategy, assuming the game is played once?
- What is the optimal strategy, assuming the game is played $m$ times?
game-theory
asked 4 mins ago
StefanStefan
4446
$endgroup$
add a comment |
$begingroup$
In the Dictionary Game, $n$ players take turns saying English words. The first player starts by choosing any word, which splits the dictionary in two parts. The next player chooses a part and picks a word in that part which will split that part into two smaller parts. This continues until one player is no longer able to find a word.
Note that the players do not actually use a dictionary, they can only say words they know. Additionally, when a player says a word the other player doesn't know, the other players will learn the word and be able to use it in a future round.
- What is the optimal strategy, assuming the game is played once?
- What is the optimal strategy, assuming the game is played $m$ times?
game-theory
asked 4 mins ago
StefanStefan
4446
$endgroup$
In the Dictionary Game, $n$ players take turns saying English words. The first player starts by choosing any word, which splits the dictionary in two parts. The next player chooses a part and picks a word in that part which will split that part into two smaller parts. This continues until one player is no longer able to find a word.
Note that the players do not actually use a dictionary, they can only say words they know. Additionally, when a player says a word the other player doesn't know, the other players will learn the word and be able to use it in a future round.
- What is the optimal strategy, assuming the game is played once?
- What is the optimal strategy, assuming the game is played $m$ times?
game-theory
game-theory
asked 4 mins ago
StefanStefan
4446
asked 4 mins ago
StefanStefan
4446
asked 4 mins ago
StefanStefan
4446
asked 4 mins ago
StefanStefan
4446
asked 4 mins ago
StefanStefan
4446
4446
add a comment |
add a comment |
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