Optimal Strategy with Zero-Sum Game
1. Market research has determined the following changes in the polls based on the different combinations of choices for the two candidates on the tax bill in the upcoming debate:
|
|
Incumbent |
||
|
Challenger |
|
Stay |
Break |
|
|
Stay |
(0, 4) |
(3, 0) |
|
|
Break |
(1, 2) |
(2, 3) |
Use this payoff matrix to determine if there are dominant strategies for either player. Find any Nash equilibrium points. Show all of your work.
Enter your step-by-step answer and explanations here.
2. Use the payoff matrix from number 1 to determine the optimum strategy for your client (the challenger). Show all of your work.
Enter your step-by-step answer and explanations here.
3. Use the payoff matrix from number 1 to determine the optimum strategy for the incumbent. Show all of your work.
Enter your step-by-step answer and explanations here.
4. Knowing that flip-flopping on an issue is worse than taking a stand on either side, you must recommend a single strategy to the client to take in the upcoming debate. Take into account the predictability of the incumbent’s strategy and assume rationality by both players.
Enter your step-by-step answer and explanations here.
5. Working in parallel your co-worker finds that there is a 60% chance that the incumbent will choose to stay within party lines. Does this agree with your findings? If not, identify the error made by your co-worker.
Enter your step-by-step answer and explanations here.