Optimal Strategy with a Non Zero Sum Game Worksheet
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Optimal Strategy with a Non Zero Sum Game Worksheet
During the city’s mayoral race one of the candidates hires G&B Consulting. This candidate is a challenger from the same party as the incumbent mayor and is vying to be put on the ticket in the general election. She believes that the nomination will likely come down to what stance she takes on a proposed tax bill. The bill is for a tax increase that would subsidize education grants. Staying within traditional party lines would be advantageous to gaining support from the core constituency, but going against party lines on the issue would help sway swing voters and independents. The issue is bound to come up at an upcoming debate and she wants the help of G&B Consulting to determine an optimum strategy.
Deliverable 05 Worksheet
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, 8) (6, 0)
Break (2, 4) (4, 6)Use this payoff matrix to determine if there are dominant strategies for either player. Find any Nash equilibrium points. Show all of your work.
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2. Use the payoff matrix from number 1 to determine the optimum strategy for your client (the challenger). Show all of your work.3. Use the payoff matrix from number 1 to determine the optimum strategy for the incumbent. Show all of your work.
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 incumbents strategy and assume rationality by both players.
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.
Optimal Strategy with a Non Zero Sum Game Worksheet
RUBRIC
Excellent Quality
95-100%
Introduction 45-41 points
The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.
Literature Support
91-84 points
The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.
Methodology
58-53 points
Content is well-organized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met.
Average Score
50-85%
40-38 points
More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided.
83-76 points
Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration.
52-49 points
Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met.
Poor Quality
0-45%
37-1 points
The background and/or significance are missing. No search history information is provided.
75-1 points
Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration.
48-1 points
There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met
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Optimal Strategy with a Non Zero Sum Game Worksheet