tomerv
Joined 14 years ago
Joined 14 years ago
One thing that I find a little weird about the Bezos divorce is that there are a lot of claims that it will make MacKenzie Bezos “the world’s richest woman.” I suppose there is a technical sense in which that is right, but it assumes not only that she will have a right to half of Jeff Bezos’s assets in divorce, but also that she has no such right in marriage. That strikes me as a strange way to think about marriage, and about the “community property” laws that might give her half the assets in divorce. (Surely those laws imply that she is in a sense a joint owner now?) I would have thought the more straightforward analysis is that she is the world’s richest woman now, because she is a member of a married couple that has more money than any other single person or married couple on the planet, but I guess that is not how the scorekeeping works.
https://www.bloomberg.com/opinion/articles/2019-01-10/bezos-...
Using the same definitions from the article, we now have (for a 2 person game):
Q_i = -P_i + (1 - sum_{j=1..i}(P_j))
Where the first term is for the case of choosing the same number as your opponent, and the second when it's larger than your opponent.Now solve the same set of equations, but with our new Q_i. Solving Q_1 = Q_2 analytically is easy, then Q_2 = Q_3 and so on... You get P = (1/2, 1/4, 1/8, ...)
So that's the result for this specific 2-player game. You could also ask about the 2-player game with tie=t for any negative t (the above is for t=-1). Now we get
Q_i = t*P_i + (1 - sum(P_j))
Again, solving Q_i=Q_{i+1} is easy and gives P_{i+1} = (t / (t-1)) * P_i
For example, if t=-2 then (using the fact that all P_i's sum to 1): P = (1/3, 2/9, 3/27, ...)I did not try to tackle the 3-player game with tie=t.
There are some exit clauses (like Musk not getting financing from his banks) but they don't apply here. Specifically, there's no exit clause for the bot percentage.
> If it was a promise it could be written on a hallmark card.
Are you just trying to change the meaning of the word promise? Most people would agree that if you break a promise you pay a price - it might be a social one in case of a promise between friends. Or it might be a financial price in case of a written & signed promise, a.k.a a contract.
Maybe on average, but specific cases can vary wildly. Some foods that the breastfeeding mother consumes can cause issues. Milk, soy, and caffeine are known troublemakers - but good luck finding out which one is the source of stomach issues for your baby!
http://tom7.org/zelda/