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Game Theory Game 5 Mixed Strategies
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No Equilibrium 1 shirk p 1/10 work 1/2 1 no monitor q monitor
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Class Results shirk p work no monitor q monitor 1 Shirk: p=0.23
1/10 work 1/2 1 no monitor q monitor
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Class Results Got away with shirking 100 Got caught shirking 0 Shrey
Xue Joe
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Class Results Lucky to have monitored -10
(but probably don’t feel too lucky) Connor Tony
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Class Results Should have monitored Sonny
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Best Responses What should managers have done given that 23% of employees shirk? What should workers have done given that they had a 91% chance of being monitored?
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Class Results For managers: For employees:
Monitor: (0.77)- 10(0.23) = 67 No Mon: 100(0.77)-100(0.23) = 54 Monitoring is a best reply For employees: Work: 50(0.91)+ 50(0.09) = 50 Shirk: 0(0.91)+100(0.09) = 9 Working is a best reply
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Summary Managers should monitor Employees should work
Is this sustainable? What would happen next time?
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Cost Change Monitoring cost increases from 10 to 50
Monitoring decreased from 91% to 60% Shirking increased from 23% to 31% Only Edward got away with it
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