1. Math
  2. Statistics And Probability
  3. 1 consider a gam e in which 2 friends have...

Question: 1 consider a gam e in which 2 friends have...

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1. Consider a gam e in which 2 friends have decided to meet outside of there game theory class to go for a bike ride, but they did not coordinate on bringing road bikes or mountain bikes and they cannot communicate with each other before class. Assume that both friends have mountain and road bikes. Assume that if they both bring road bikes each gets a payoff of 2, if they both bring mountain bikes each gets a payoff of 3. If, however, one brings a road bike and the other brings a mountain bike then the friend with a mountain bike gets a payoff of 1 and the friend with a road bike gets a payoff of (0 (a) Present this normal form game as a matrix (b) Are any strategies strictly dominated? (c) Are any strategies weakly dominated? (d) Find the pure strategy Nash Equilibria

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