Mini maps

Photo credit: F.E. Guerra-Pujol

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Skew dice

Monday Math Day?! Meet Robert Fathauer and Henry Segerman, authors of the Dice Lab and creators of “skew dice” (pictured below)–strange-looking dice that still generate fair odds. In their words: “When tossed, a fair die yields its various numbers or symbols with equal probability, regardless of details of the surface or the toss. The shapes of dice are based on polyhedra, solids whose faces are polygons. To ensure fairness, each face of the polyhedron should have an identical relationship to the other faces …”

Just in case, here is a short explanation of the mathematics of their skew dice: “Considerable thought went into the numbering of the dice. The starting point was locating the largest number opposite the smallest number (on opposing faces), the next largest opposite the next smallest, etc. This convention is widely followed in dice design. The next priority was to distribute the numbers as uniformly as possible. That was accomplished by balancing the sums of the numbers on each group of faces surrounding a vertex … Note that the average numerical value per face for an n-sided die is (n + 1)/2.” (Hat tip: Cliff Pickover.)

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Facebook’s birthday

Facebook was launched from Mark Zuckerberg’s dorm room 13 years ago today (it was called thefacebook back then), yet there is still no DISLIKE button after all these years. But when should the billionaire CEO celebrate Facebook’s birthday: when he first registered the URL for thefacebook.com, when he created the first Facebook profile while the site was in beta, or when Zuckerberg and his fellow cofounders filed the legal paperwork to incorporate their company. (Thanks to Dino Grandoni for pointing out these alternative Facebook birthdays to us.)

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One out of twelve ain’t bad? (via tumblr)

Posted in Culture, History, Web/Tech | 1 Comment

Keyboard waffle iron

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Created by Chris Dimino

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Class No. 4 (Contracts and Vampires)

In our next class, we will consider the law and ethics of two separate promises depicted in the movie “The Social Network”–the informal coding agreement between the Winklevoss twins and Mark Zuckerberg as well as the informal partnership between Zuckerberg and his best friend Eduardo Saverin. In summary, the movie “The Social Network” depicts two ill-fated promises. Soon after the Facemash fiasco, the Winklevoss twins and their partner Divya Narendra introduce themselves to their fellow classmate Mark Zuckerberg, and they proceed to pitch him an idea for an online social network/dating website: the Harvard Connection (later renamed ConnectU). In the movie version of these events, Zuck tells them “I’m in” without hesitation, but then, in the very next scene (!), Mark and Eduardo negotiate an informal partnership agreement with the purpose of launching a “clean and simple” social network, a rival website that Mark would eventually christen “thefacebook.” Assuming the veracity of the movie version of these promissory events, the key question is thus this: are either of these oral agreements legally binding? In addition, we will also debate whether humans should be allowed to sell blood to vampires. (FYI: check out this podcast on this esoteric topic.) That is, are there any voluntary and consensual contracts that the law should refuse to enforce as a matter of policy? If so, how should courts draw this legal line?

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Image Credit: Pearson Education

Posted in Ethics, Law | 2 Comments

Statutes as lemons (critique of Kavanaugh, 2016)

We have just finished reading Brett Kavanaugh’s highly original essay “Fixing Statutory Interpretation” in the Harvard Law Review, vol. 129 (2016), pp. 2118-2163. (Kavanaugh, who we shall now refer to as “K-1”, is a federal appellate judge on the D.C. Circuit of Appeals.) In his thoughtful essay, K-1 reviews the book “Judging Statutes” (Oxford University Press, 2016) written by Robert Katzmann, “K-2”, who is also a federal appellate judge. After critiquing K-2’s willingness to delve into the muddy waters (or is it a swamp?) of legislative history when interpreting a statute, K-1 then proceeds to offer an alternative method of statutory interpretation.

Currently, most judges apply some version of the plain meaning or clear meaning rule when there is a dispute about the actual meaning or application of a statute. That is, if the literal meaning of a statute is clear, courts will generally enforce the statute “as is,” come what may. (We say “generally” because human judges, being the devious creatures that they are (source: Al Roth), can always find clever ways of ignoring the plain meaning rule, especially in cases involving absurd results or legislative mistakes.) If, however, a statute is ambiguous, courts are more willing to use extra-legal sources–i.e., sources external to the statute, such as committee reports, dictionaries, public policy, etc.–in order to figure out the true meaning of the statute. But as K-1 correctly notes, the problem with this time-tested approach to statutory interpretation is that it is not always clear or obvious when a statute is ambiguous, for the concept of ambiguity is itself ambiguous! (This point, by itself, is a novel and useful contribution to the scholarly literature. Moving forward, any halfway decent theory of statutory interpretation will have to find a way of solving–or avoiding–this problem.)

But wait, there’s more! Our friend K-1 also proposes an alternative method of statutory interpretation. In summary, instead of trying to guess whether a statute is clear or ambiguous, K-1 implores judges to figure out the “best reading of the text of the statute” (p. 2144). Say what …? Unfortunately for K-1, his honor is asking judges to substitute one magical wand for another. Why? Because his “best reading” test is totally empty and rudderless and just as utterly indeterminate and unhelpful as the subjective tests judges now use to distinguish between clear and ambiguous statutes, for how would one go about deciding whether the “best reading” of a statute is a narrow or literal reading or a broad/expansive one. His honor does not say. Simply put, K-1 provides no specific guidance as to how one would go about finding the best meaning of a statute. In fact, if K-1’s best reading formulation is the test, judges will just end up falling back on their untestable intuitions or policy preferences when deciding what the best reading is. So, what is to be done? First, we need to realize that most statutes are “lemons,” i.e. bad or defective products. We will say more about “statutes as lemons” in a future post … (Thanks to Paul Caron, via TaxProfBlog, for pointing out K-1’s essay to us.)

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Image Credit: Wikimedia Commons

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Captcha arms race update

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Virtue signalling in the age of Trump

As libertarians, we have always supported open borders as a matter of principle, but we are somewhat amused though not surprised by all the virtue signalling and moral grandstanding being displayed by our academic colleagues against Trump’s new immigration policy. (Here are just two egregious examples of such virtue signalling/moral grandstanding: this moralizing screed by Kevin Bryan, and Tyler Cowen’s patronizing reminder that the President is “executor of the Constitution.”) The problem with such critiques of Trump’s coldhearted immigration policy is that Article II of the Constitution confers on the President the plenary power to conduct foreign affairs, including the power to decide who is allowed into our country. Arguably, it is the ex parte issuance of nationwide injunctions by district judges that is in violation of the Constitution.

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Credit: The Spectator

Posted in Bayesian Reasoning, Ethics, Law | 6 Comments

Justice Gorsuch?

No, this is not the name of some fictional judge from the Star Wars expanded universe. Instead, it is one of the candidates on President Trump’s short list of potential nominees for the U.S. Supreme Court. In particular, our colleagues Dan Katz, Mike Bommarito, and Josh Blackman recently launched a quasi-prediction market called “FantasyJustice.” Their site allows one to vote on who Trump will appoint to the Supreme Court. (We describe this site as a “quasi-prediction market” because, ideally, voters should be allowed to place bets to back up their votes, but unfortunately, federal law prohibits most forms of Internet gambling.) So, who is the front runner? Professor Blackman reports (edited by us for clarity): “Since we launched the FantasyJustice marketplace in November [2016], one judge has been consistently perched in first place: Judge Neil Gorsuch. Even though the conventional wisdom of the Federalist Society [a libertarian organization] … centered around judges Bill Pryor and Diane Sykes, Gorsuch continues to rise above all others. Why? We will write about the details in the future, but at a minimum, those selecting the Colorado-based judge had some insights that others did not. This [prediction may be] the function of the wisdom of the crowds.”

Update (1/31): Gorsuch it is! Now that we know who the nominee is, what is the probability that the Senate will confirm Trump’s man by the end of March?

Update #2 (2/1): Based on this actuarial table (via Josh Blackman), and the fact that federal judges have lifetime tenure, Judge Gorsuch (if confirmed) can be expected to serve on the Supreme Court bench for 22 years. Given that Mr Gorsuch is only a year older than me, this little exercise leads me to consider my own mortality and how little time we all have …

Image Credit: Josh Blackman

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Class No. 3 (Due Process and the Burden of Proof)

In our previous class, we discussed the law and ethics of Facemash, a short-lived website Mark Zuckerberg created in the fall of ’03—a few months before he launched the beta version of Facebook. This week, we will re-enact Zuckerberg’s “Ad Board” hearing and consider what defenses he could’ve asserted on his own behalf. In addition, we will also focus on the procedural side of law, in particular, due process and the burden of proof. That is, when someone is accused of wrongdoing like hacking or theft, who has the burden of proof and what process is owed to the accused?

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Image Credit: The Harvard Crimson

Posted in Academia, Ethics, Law | 2 Comments