Combinatorial Game Theory Quiz

Who is considered to have laid the groundwork for modern Game Theory in 1944?

• Isaac Newton

• Albert Einstein

• John Von Neumann

• Bash de Maerc

What is a key characteristic of a combinatorial game?

• The game never ends

• Players have incomplete information

• The game involves random elements

• Players take turns and have perfect information

In the simple game discussed, what is the goal for the players?

• To add the largest number possible

• To prevent the opponent from playing

• To reach a subtotal of 100

• To reach a subtotal of 50

What is the maximum number a player can add to the subtotal in one turn?

• 5

• 20

• 10

• 15

What is a losing position in the game?

• A position where the subtotal is 89

• A position where the subtotal is 100

• A position where the subtotal is 50

• A position where the subtotal is 10

How can a player ensure a win from a winning position?

• By always adding the maximum number

• By forcing the opponent into a losing position

• By skipping their turn

• By adding random numbers

What is the pattern of losing positions in the game?

• They decrease by increments of 11

• They are random

• They increase by increments of 5

• They are multiples of 10

What happens if the starting number is a losing position in the game variation?

• The game will restart

• The first player will win

• The second player will win

• The game will be a draw

What is the advantage of going first in the original game setup?

• You can immediately put the opponent in a losing position

• You can choose the starting number

• You can skip the first turn

• You can add more than 10

What is a suggested strategy when playing this game with friends?

• Always let your friend go first

• Always choose a starting number greater than 30

• Always add the smallest number possible

• Always play from a losing position