Game+Theory+13

Dice, Mice and Ice

General Description: There are 4 players, each has a die. If no one rolls their dice, each player gets 5 points. If one person rolls their die, they get triple the amount of points shown on the die, if 2 people roll, they get double the amount of points, if 3 or more people roll, they get the amount shown on their die.

Rules: Everyone writes down what they will do (roll or not roll), then everyone reveals what they will do, and everyone either rolls or doesn't. The person with the most points after a certain number of rounds wins.

Materials Required: 4 dice paper/pencils

Predicted results: Players will probably roll their die each time. The dominant strategy is to roll one's die, and the Nash Equilibrium is everyone rolling their die, and getting the amount of points shown on their die. This is because no matter what the other players choose to do, it is in one's best interest to roll one's die.