# Asked Nov 8, 201913. Two Indiana state candidates must decide which city to visit the day before the November election. The same four cities-Indianapolis, Evansville, Fort Wayne, and South Bend-are available for both candidates. These cities are listed as strategies 1 to 4 for each candidate. Travel plans must be made in advance, so the candidates must decide which city to visit prior to knowing the other candidate’s plans. Values in the following table show thousands of voters for the Republican candidate based on the strategies selected by the two candidates based on the strategies selected by the two candidates.                                                                                                                        Democrat Candidate                                                                                             Indianapolis     Evansville     Fort Wayne     South Bend                                                                                                     b1                  b2                  b3                   b4Republican Candidate             Indianapolis, a1                              0                 -15                 -8                     20                                                Evansville, a2                                30                   -5                   5                   -10                                                Fort Wayne, a3                             10                 -25                   0                     20                                                 South Bend, a4                             20                  20                 10                     15                 c. What strategy should the Democrat candidate take?d. Does the game have a pure strategy?

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13. Two Indiana state candidates must decide which city to visit the day before the November election. The same four cities-Indianapolis, Evansville, Fort Wayne, and South Bend-are available for both candidates. These cities are listed as strategies 1 to 4 for each candidate. Travel plans must be made in advance, so the candidates must decide which city to visit prior to knowing the other candidate’s plans. Values in the following table show thousands of voters for the Republican candidate based on the strategies selected by the two candidates based on the strategies selected by the two candidates.
Democrat Candidate
Indianapolis     Evansville     Fort Wayne     South Bend
b1                  b2                  b3                   b4
Republican Candidate             Indianapolis, a1                              0                 -15                 -8                     20
Evansville, a2                                30                   -5                   5                   -10
Fort Wayne, a3                             10                 -25                   0                     20
South Bend, a4                             20                  20                 10                     15

c. What strategy should the Democrat candidate take?

d. Does the game have a pure strategy?

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