Game theory 101
game theory made easy
Bargaining and More
Expected Utility Theory
Modified Rock Paper Scissors
This lecture shows how difficult it is to solve for the modified rock paper scissors game's equilibria.
There are no equilibria in pure strategies.
There are no equilibria in which a player mixes between exactly two pure strategies.
Nash's theorem ensures that the game has an equilibrium, so it must be where the players mix among all three strategies.
Mixing among Three Strategies