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How To Do Exactly the Right Thing at All Possible Times or. Nothing. ____. ^. The Idea That Changed the World. E(u | p, X) = x X p(x)u(x). E(u | p, X) = x X p(x)u(x). Expected Value = (Odds of Gain) X (Value of Gain).
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How To Do Exactly the Right Thing at All Possible Times or Nothing ____ ^ The Idea That Changed the World
E(u | p, X) = xX p(x)u(x) Expected Value = (Odds of Gain) X (Value of Gain)
If it comes up heads I’ll give you $10. Should you pay $4 to play? Yes! Expected Value = (Odds of Gain) X (Value of Gain) 1/2 X$10 = $5
Errors in Odds Errors in Value Expected Value = (Odds of Gain) X (Value of Gain)
Errors in Odds Errors in Odds Errors in Value Expected Value = (Odds of Gain) X (Value of Gain)
Errors in Odds Are there more dogs or pigs on leashes in Oxford?
Errors in Odds Errors in Odds Are there more 4-letter English words with R in the 3rd or 1st place? _ _ R _R _ _ _ RING, RANG, RUNG... BARE, FORT, PARK...
Errors in Odds Errors in Odds Cause Estimate Actual Tornado 564 90 Fireworks 160 6 Asthma 506 1886 Drowning 1684 7380 Per 200 million US residents per year
Errors in Odds Errors in Odds Cause Estimate Actual Tornado 564 90 Fireworks 160 6 Asthma 506 1886 Drowning 1684 7380 Per 200 million US residents per year > > > >
Errors in Odds Errors in Odds
Errors in Odds Errors in Odds
Errors in Odds Errors in Odds
Errors in Odds Errors in Odds
Errors in Odds Errors in Odds ? • 10 tickets • $1 to play • $20 if you win
Errors in Odds Errors in Odds 1/10 X $20 = $2
Errors in Odds Errors in Odds 1/10 X $20 = $2
Errors in Value Errors in Odds Errors in Value Expected Value = (Odds of Gain) X (Value of Gain) Is this Big Mac worth $25?
Errors in Value: Comparing with the Past COMPARING WITH the Past instead of the Possible
Errors in Value: Comparing with the Past $150K $60K in Year 1 $50K in Year 2 $40K in Year 3 $135K $35K in Year 1 $45K in Year 2 $55K in Year 3
Errors in Value: Comparing with the Past A $2000 Hawaiian vacation package is on sale for $1600. Would you buy it?
Errors in Value: Comparing with the Past A $2000 Hawaiian vacation package is on sale for $700. You think it over for a week, and by the time you get to the ticket agency, the best fares are gone and the package will now cost you $1500. Would you buy it?
Errors in Value: Comparing with the Past Yes $2000 $1600 No $2000 $700 $1500
Errors in Value: Comparing with the Past You are on your way to the theatre. In your wallet you have a ticket for which you paid $20, and a $20 bill. When you arrive at the theatre you discover that you’ve somehow lost the ticket. Would you spend your remaining $20 on a ticket? No
Errors in Value: Comparing with the Past You are on your way to the theatre. In your wallet you have two $20 bills. When you arrive at the theatre you discover that you’ve somehow lost one of the bills. Would you spend your remaining $20 on a ticket? Yes
Errors in Value: Comparing with the Past The Lost Ticket The Lost Money X X
Errors in Value COMPARING WITH the Past instead of the Possible COMPARING WITH the Possible instead of the Past
Errors in Value: Comparing with the Possible $8.00 $27.00 $33.00
Errors in Value: Comparing with the Possible $8.00 $27.00 $33.00 $51.00
Errors in Value: Comparing with the Possible You want to buy a car stereo. The dealer near your house sells it for $200, but if you drive across town, you can get it for $100. Would you drive to get 50% off (saving $100)? Yes
Errors in Value: Comparing with the Possible You want to buy a car with a stereo. The dealer near your house sells it for $31,000, but if you drive across town, you can get it for $30,900. Would you drive to get .003% off (saving $100)? No
Errors in Value: Comparing with the Possible TODAY TOMORROW NEXT WEEK NEXT YEAR
Errors in Value: Comparing with the Possible $60 NOW $50 NOW OR Problem #1
Errors in Value: Comparing with the Possible • More is better than less $60 NOW $50 NOW Problem #1
Errors in Value: Comparing with the Possible $60 In 1 month $60 NOW OR Problem #2
Errors in Value: Comparing with the Possible • Now is better than later $60 In 1 month $60 NOW Problem #2
Errors in Value: Comparing with the Possible Now is better than later More is better than less BUT $60 In 1 month $50 NOW OR Problem #3
Errors in Value: Comparing with the Possible Now is better than later More is better than less $60 In 1 month $50 NOW Impatience Problem #3
Errors in Value: Comparing with the Possible Now is better than later More is better than less $60 In 1 month $50 NOW Impatience $50 In 12 months $60 In 13 months OR
Errors in Value: Comparing with the Possible Now is better than later More is better than less $60 In 1 month $50 NOW Impatience $50 In 12 months $60 In 13 months Patience
Errors in Value: Comparing with the Possible Impatience Patience 30 Days 30 Days
Errors in Value: Comparing with the Possible Illusions of Spatial Perspective As seen from 1 ft 21 ft 2000 ft 2021 ft
Errors in Value: Comparing with the Possible Illusions of Spatial Perspective As seen from 1 ft 21 ft 2000 ft 2021 ft 20 Feet 20 Feet
Errors in Value: Comparing with the Possible Illusions of Temporal Perspective As seen from
Errors in Value: Comparing with the Possible Illusions of Temporal Perspective As seen from 30 Days 30 Days