Assignment title: Information
xviii
0.6 Finding a mixed strategy equilibrium
Due Wednesday March 18
1. Given the following payoff matrix which represents a game with no pure
strategy equilibrium (best-response payoffs are shown in red), find the mixed
strategy equilibrium.
Left Right
Up 10, 2 4, 9
Down 1,7 8, 5
Solving this means finding probabilities that are best responses to each other.
2. Write your student number
3. Make up a 2x2 game in strategic form with no pure strategy equilibrium by
using the lowest digit in your student number as the payoff Row gets at (up
Left) and the highest digit the payoff that column gets at (Up, Left). You must
also use three other digits from your student number.
4. Find the mixed strategy equilibrium for your game algebraically.
5. Provide a graphical demonstration of your solution.