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Game Theory Game 9 Incentive Pay
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Example Justin V: f = 0, b = $200 K
Idea: if you work hard, earn $160 K (80% chance at $200 K) Profit = $160 K - $150 K = $10 K BUT: what if don’t work hard? (60%) $200 K = $120 K Profit = $120 K - $100 K = $20 K
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Routine Effort f=100 is all you need! Bella f=100, b=1 Profit = 259
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Profitability Summary
Greatest Profit from inducing high effort: $280K (unless using negative fixed) Greatest Profit from inducing low effort: $260K Using Fixed payment = $100K, no bonus The “no brainer” solution No one did better than this !!! Do we want to induce high effort? Carefully. Don’t give away the farm trying!
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Who Gave Away the Farm? Rosauri Did not entice high effort
Bonus = 80 Seriously Overspent Fixed payment = 250 EXPECTED PROFIT = 62
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Who Gave Away the Farm? Alex Did entice high effort
Bonus = 450 Seriously Overspent Fixed payment = 100 EXPECTED PROFIT = 20
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Who Did Not Entice Participation?
Tyler C. f = 50, b = 75 50+(0.6)75 = < 100 50+(0.8)75 = < 150 Also Martin, Kayla, Christian, Divine
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Who Gave Away the Farm? (and the animals, the barn, …)
Dan f = 550 b = 50 The firm was VERY HAPPY to take this project (at low effort) Resulting profit for subcontractor: $580 Resulting profit for you: $220
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