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Thinking, Fast and Slow - Daniel Kahneman

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hours, at what time will there be the most bidders looking at my auction? The answer: around<br />

noon, when the number of bidders is large relative to the number of sellers. The sellers who<br />

remember the competition <strong>and</strong> avoid prime time get higher prices. Uri Simonsohn, “eBay’s<br />

Crowded Evenings: Competition Neglect in Market Entry Decisions,” Management Science 56<br />

(2010): 1060–73.<br />

“diagnosis antemortem”: Eta S. Berner <strong>and</strong> Mark L. Graber, “Overconfidence as a Cause of<br />

Diagnostic Error in Medicine,” American Journal of Medicine 121 (2008): S2–S23.<br />

“disclosing uncertainty to patients”: Pat Croskerry <strong>and</strong> Geoff Norman, “Overconfidence in<br />

Clinical Decision Making,” American Journal of Medicine 121 (2008): S24–S29.<br />

background of risk taking: <strong>Kahneman</strong> <strong>and</strong> Lovallo, “Timid Choices <strong>and</strong> Bold Forecasts.”<br />

Royal Dutch Shell: J. Edward Russo <strong>and</strong> Paul J. H. Schoemaker, “Managing Overconfidence,”<br />

Sloan Management Review 33 (1992): 7–17.<br />

25: Bernoulli’s Errors<br />

Mathematical Psychology: Clyde H. Coombs, Robyn M. Dawes, <strong>and</strong> Amos Tversky,<br />

Mathematical Psychology: An Elementary Introduction (Englewood Cliffs, NJ: Prentice-Hall,<br />

1970).<br />

for the rich <strong>and</strong> for the poor: This rule applies approximately to many dimensions of sensation<br />

<strong>and</strong> perception. It is known as Weber’s law, after the German physiologist Ernst Heinrich<br />

Weber, who discovered it. Fechner drew on Weber’s law to derive the logarithmic<br />

psychophysical function.<br />

$10 million from $100 million: Bernoulli’s intuition was correct, <strong>and</strong> economists still use the<br />

log of income or wealth in many contexts. For example, when Angus Deaton plotted the<br />

average life satisfaction of residents of many countries against the GDP of these countries, he<br />

used the logarithm of GDP as a measure of income. The relationship, it turns out, is extremely<br />

close: Residents of high-GDP countries are much more satisfied with the quality of their lives<br />

than are residents of poor countries, <strong>and</strong> a doubling of income yields approximately the same<br />

increment of satisfaction in rich <strong>and</strong> poor countries alike.<br />

“St. Petersburg paradox”: Nicholas Bernoulli, a cousin of <strong>Daniel</strong> Bernoulli, asked a question<br />

that can be paraphrased as follows: “You are invited to a game in which you toss a coin<br />

repeatedly. You receive $2 if it shows heads, <strong>and</strong> the prize doubles with every successive toss<br />

that shows heads. The game ends when the coin first shows tails. How much would you pay<br />

for an opportunity to play that game?” People do not think the gamble is worth more than a<br />

few dollars, although its expected value is infinite—because the prize keeps growing, the<br />

expected value is $1 for each toss, to infinity. However, the utility of the prizes grows much<br />

more slowly, which explains why the gamble is not attractive.

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