In regard to most articles of the Constitution, the document is a word-for-word duplicate of the United States Constitution. However, there are crucial differences between the two documents, in tone and legal content, primarily regarding slavery.
Stated simply, Alice and Bob are in Nash equilibrium if Alice is making the best decision she can, taking into account Bob's decision while Bob's decision remains unchanged, and Bob is making the best decision he can, taking into account Alice's decision while Alice's decision remains unchanged. Likewise, a group of players are in Nash equilibrium if each one is making the best decision possible, taking into account the decisions of the others in the game as long as the other parties' decisions remain unchanged.
Over a dissent from Justice Sonia Sotomayor that was joined by Justice Ruth Bader Ginsburg, the Supreme Court last night declined to block the executions of three Ohio men. One of the inmates, Ronald Phillips, is scheduled to be put to death today for the 1993 rape and murder of his girlfriend’s daughter.
Phillips and the other two inmates, Gary Otte and Raymond Tibbetts, had challenged the three-drug protocol that the state plans to use to carry out their executions, arguing that it violates the Eighth Amendment’s ban on cruel and unusual punishment.
The theory for the Invisible Hand states that if each consumer is allowed to choose freely what to buy and each producer is allowed to choose freely what to sell and how to produce it, the market will settle on a product distribution and prices that are beneficial to all the individual members of a community, and hence to the community as a whole. The reason for this is that self-interest drives actors to beneficial behavior in a case of serendipity.
Tegmark's MUH is: Our external physical reality is a mathematical structure. That is, the physical universe is mathematics in a well-defined sense, and "in those [worlds] complex enough to contain self-aware substructures [they] will subjectively perceive themselves as existing in a physically 'real' world". The hypothesis suggests that worlds corresponding to different sets of initial conditions, physical constants, or altogether different equations may be considered equally real. Tegmark elaborates the MUH into the computable universe hypothesis (CUH), which posits that all computable mathematical structures (in Gödel's sense) exist.