Suppose Anna and Bill discuss going to a concert. Anna slightly favors attending something classic, yet Bill is a big fa
Posted: Fri Dec 24, 2021 9:56 am
Suppose Anna and Bill discuss going to a concert. Anna slightly
favors attending something classic, yet Bill is a big fan of rock
music. Their payoffs are shown below:
a) Are there any Nash equilibria in pure strategies ? If so,
state the equilibrium strategies and payoffs!
b) Briefly explain what are ’mixed strategies’ in a game.
c) Find the mixed strategy equilibrium assuming Anna chooses
’Classic’ with probability p while Bill chooses ’Classic’ with
probability q.
Bill Classic q Rock 1-9 2,1 0,0 0,0 1,4 Anna Classic p р Rock 1-p
favors attending something classic, yet Bill is a big fan of rock
music. Their payoffs are shown below:
a) Are there any Nash equilibria in pure strategies ? If so,
state the equilibrium strategies and payoffs!
b) Briefly explain what are ’mixed strategies’ in a game.
c) Find the mixed strategy equilibrium assuming Anna chooses
’Classic’ with probability p while Bill chooses ’Classic’ with
probability q.
Bill Classic q Rock 1-9 2,1 0,0 0,0 1,4 Anna Classic p р Rock 1-p