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Monday, April 13, 2015

Nash Equilibrium


Nash Equilibrium – A state in which no two opposing sides can get ahead of the other without the other being shorted. This applies as long as neither side changes their strategy.

Game Theory – the application of mathematics to peoples strategies when faced with games or analytical tasks. The results depend on the participants choices.

Prisoner’s Dilemma – Two players, each having two or more options. The outcome relies on what both players decide

Serendip – I used the Nash equilibrium, I knew the computer was going to cooperate on the first move. So I, in turn cooperated and we both gained 3 coins. I took the safe route and decided to compete in the second round which paid off because I received 5 coins putting me in the lead at 8. The computer program and I both went the safe route from here on out both choosing to compete and receiving 1 coin the rest of the game.

Prisoners dilemma in history definitely played out in the revolutionary war. Generals and leaders had to decide how many soldiers and units they would send forward to defeat the enemy yet lose the least amount of troops themselves. In government politicians must pretend to get along with other candidates while not making the other candidate look better. In economics people must decide the lowest price to sell a product at so that people want to buy their product over a competitors but they still need to make money on it. In my life I face prisoners dilemma when I do trades at the guitar store I want to get something of equal or greater value than what I am trading in but the opposing trader wants to give me something of equal or lesser value.

I thought our oil pricing project was rather interesting. I think if we hadn’t done the project the day before it would have been better. We wouldn’t have had the experience or known the pattern to use to be safe.