**Game Theory in Political Campaign Strategy**Bella Robinson and Steve Carson are running for a seat in the U.S. Senate. The outcome of their campaigns depends on where they decide to focus their efforts: the major cities or the rural areas. The expected voting percentages based on their campaign strategies are as follows:1. If both candidates campaign only in the major cities of the state, Robinson is expected to get 70% of the votes.2. If both candidates campaign only in the rural areas, then Robinson is expected to get 55% of the votes.3. If Robinson campaigns exclusively in the city and Carson campaigns exclusively in the rural areas, then Robinson is expected to get 20% of the votes.4. If Robinson campaigns exclusively in the rural areas and Carson campaigns exclusively in the city, then Robinson is expected to get 35% of the votes.**Tasks:**1. (a) Construct the payoff matrix for the game. (Enter each percentage as a decimal.) | | Carson | | |------------|-------------------|----------------| | | City | Rural | | Robinson | | | | City | **0.70** | **0.20** | | Rural | **0.35** | **0.55** |Is the game strictly determined?- Yes- No2. (b) Find the optimal strategy for both Robinson (row) and Carson (column). $ P = \, [_] $ $ Q = \, [_] $**Explanation of Diagram:**The table shown is a payoff matrix for the game. The matrix includes different scenarios where each candidate can focus their campaign efforts either in the city or in rural areas. - The rows represent Robinson's strategies: campaigning in the **City** or in **Rural** areas.- The columns represent Carson's strategies: campaigning in the **City** or in **Rural** areas.- Each cell in the matrix shows the expected percentage of votes that Robinson will receive, given the combination of both candidates' strategies.For example:- If both Robinson and Carson campaign in the city, Robinson is expected to get 70% of the votes (0.70).- If Robinson campaigns in the city while Carson campaigns in rural areas, Robinson is expected to get 20% of the votes (0.20).

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Answered: Bella Robinson and Steve Carson are…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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