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Prereq.: solve system of linear equations with 1 or 2 variables; comparisons of numbers.
Game Theory is about
In the first two classes we consider a few games with easy rules (can be explained in 5 minutes).Here is Mother of all games. A player can choose $1 or $2.
More generaly, for any one player game, the maximal possible payoff is the value of game and any way to get is is called an optiml strategy.
Tic-Tac-Toe | 2 | 3 ||
Nim | 2 | 3 || |
car &goats = the Monty Hall problem | | 2 | 3 |4 | |
Heads and Tails = Matching Pennies 1 | 2 | 3 ||
Rock, Paper, Scissors 1 | | 2 | 3 ||
Tic-Tac-Toc - work on it at home, it is unknown whether this will be graded.
(solved completely) car & goats, The host knows where the car is and must offer the player to change.. Otherwise, the game is different.
learn these games, you may meet them at tests,
it is unknown whether/when we get a grader.