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11a. (10 points) Formulate the Union-Management negotiation game with the following payoff matrix for Union as a linear program: M1M2M3M4 U12542 U25114 U33223 U41441 U52432

11a. (10 points) Formulate the Union-Management negotiation game with the following payoff matrix for Union as a linear program:

M1M2M3M4

U12542

U25114

U33223

U41441

U52432

11b.(10 points) Use an LP software t o solve the above problem and list the solution below.

Union best mixed strategies with probability pi for Ui:

p1 =

p2 =

p3 =

p4 =

p5 =

Value of the Game for Union =

Management best mixed strategy with probability qi for Mi:

q1 =

q2 =

q3 =

q4 =

Value of the Game for Management =

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