Game+Theory+8

  **Extreme Rock, Paper, Scissors. . . but with a twist!**

 //Description// This version is different from the traditional game of rock, paper, scissors. First of all there is no option of scissors, no one ever really liked scissors anyway.

//Rules// Both rock and paper have been assigned a value, the point of the game is to obviously get as many points as possible in order to win. If both players play rock, each are awarded 10 points. However if one player plays paper and the other plays rock, they are awarded 20 points and -5 points respectively. If both players play paper, then each receive 5 points. The way the game will work is by each person finding a partener, playing the game ("Rock paper scissors. . .") then switching partners and playing again. Ideally there are two lines facing each other, and your partner is the person opposite you, after everyone plays the game, one line shifts one person over, and thus everyone has a new partner and is playing the same number of rounds.

If it helps to visualize here is the matrix for the game:        ||  Rock ||  Paper || ||  +10,+10 ||   -5, +20 || ||   +20,-5 ||   +5,+5 ||
 * Rock
 * Paper

 //Materials Needed// Hands Something to keep score

<span style="font-family: 'Arial Black', Gadget, sans-serif;"><span style="font-family: Arial, Helvetica, sans-serif;">  //Predictions// <span style="font-family: Arial, Helvetica, sans-serif;"><span style="font-size: 90%; font-family: Arial, Helvetica, sans-serif;"> The dominent strategy for this game is to always play paper, which means that nash equilibrium will be 5 points for both players. <span style="font-size: 90%; font-family: Arial, Helvetica, sans-serif;"> These are the dominent strategy and equilbrium because playing paper each round is the safer choice, to ensure that you don't get screwed over, best case senario you get 20 points and worst case senario you get the exact same as the other player. It is a lways in the best interest of the players to make some sort of agreement, which if successful will land them in rock-rock box where both players receive 10 points. However, an agreement will be hard to stick to because each player will play each other only once, so the incentive to cheat is even greater.