A Bayesian approach to the trolley problem? (mini-thought experiment)

Note: This is a follow-up to our Nov. 14 post titled “A Bayesian defense of the Hadley rule.”

In our 2014 paper Trolley Problems, we wrote (footnotes omitted): “Consider the [standard] version of the trolley problem [pictured below]. There are seven parties to this conflict. On the one side of this moral equation is the person at the switch, who must make the difficult decision whether to leave the trolley on the main track where five workers will be harmed or divert it to a side track where only one worker will be harmed. On the other side of this moral balance are a total of six workers who are all potentially at risk from the runaway trolley, depending on whether the switch is pulled. But because of the veil of ignorance, none of the players knows their role ahead of time. Given this counterfactual world, imagine what would occur if these seven unfortunate souls could call a Coasean time-out to take part in a Coasean auction behind a veil of ignorance. In truth, since this a second-order thought experiment, the outcome of such a hypothetical auction is not obvious, unless a probabilistic approach to the trolley problem is taken.”

In place of a hypothetical Coasean auction, however, what if we imagined a “diabolical trolley lottery” instead? In the original position, there is a 0.714 probability that you will be one of the five workers trapped on the main track (5 ÷ 7), a 0.143 probability that you will be the worker on the side track (1 ÷ 7), and a 0.143 probability that you will be the person at the switch (1 ÷ 7). Accordingly, we can now imagine a negative lottery corresponding with these same probabilities and ask, How much would we pay to avoid having to play this diabolical lottery? Or in the alternative, would we prefer to pay nothing and take our chances? After all, in the original position there is a high probability (71.4%) that we will be one of the five workers trapped on the main track, and likewise, isn’t there a high (but unknown) probability that the person at the switch is a Humean consequentialist who will divert the trolley to the side track to save the five lives?

Image result for trolley problem

 

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Elemental scarcity

Periodic Table Endangered

Hat tip: kottke

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Is there nothing outside the text? (A plea for textualists)

Because of our lifelong fascination with classical legal and religious texts like the Twelve Tables of ancient times and the Ten Commandments of biblical times–and with the rules and methods of interpretation of such texts–, we stumbled upon Steven D. Smith’s critical review of Jaroslav Pelikan’s erudite opus Interpreting the Bible and the Constitution (Yale, 2004) by accident. (The first two sentences of Smith’s review are the two best sentences we have ever read in a book review.) And we are so happy we discovered Smith’s review. Among other things, Professor Smith, a law professor at the University of San Diego, identifies three “vital questions” that scholars should try to answer when they study old texts: (1) why was X text produced, (2) what practical effect, if any, did X text have, and (3) what is the true meaning of X text. For your reference, we restate and summarize these three vital textual questions below the fold:

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Bayesian updating (forest cover edition)

Florida has more forest cover than Colorado! (For an explanation, check out this thread on Reddit; hat tip: danyellan.)

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Private sector justice

According to various reports (just google the words “Jameis” and “Uber”), the ride-sharing firm Uber listened to its driver and banned NFL quarterback and accused rapist Jameis Winston from using their service. The driver, however, did not file a police report. Can you blame her for not doing so, considering the way victims are treated by our public systems of justice? File under: “private-sector justice is swifter and more certain than public-sector justice.”

The driver shared details of the experience with Uber in a chat function in its app (shown above) 
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Leading cause of death world map

The Most Common Causes Of Death Around The World

Hat tip: @pickover

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Making American Cars Great Again!

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Antebellum map

Hat tip: GScottCork, via Reddit

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Bayesian updating or Whig history? (Matt Yglesias edition)

Bill Clinton should have resigned. (Updated Nov 19: a milder example of whiggism.) Below the fold, #Irony …

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Winner’s curse?

Check out this excellent essay by art critic Jerry Saltz, via Vulture. According to Mr Saltz, the newly-discovered Leonardo da Vinci painting (pictured below), which was sold for over $450 million, is most likely a sham.

Image Credit: Tolga Akmen/AFP/Getty Images

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