I think the assumption in the problem is that the costs of renting the rooms (hotel and hostel) are either already covered or will be divided equally among the group. There is a cost imposed on the group (of just you and one other person in this case) of one fewer hotel room than expected. The problem is how to distribute this cost. You will get some and the other person will get some. Neither of you will necessarily be happy compared to the expected alternative of each getting a hotel room.

Shouldn't the hostel-goer forego a 1/n share of their Minimum Satisfactory Compensation (since the other n-1 participants also pay a share)? The best outcome is for the most-willing participant to take the hostel, and the total cost incurred by the group is equal to this person's MSC. If we want to divide this total cost equally among all group members, the n-1 each pay a 1/n share and the 1 forgoes a 1/n share from their actual compensation.

Alternatively, one could argue that the cost should be distributed proportionally-more to participants who would be more harmed by having to stay in the hostel (since they receive more benefit from the ideal arrangement vs. an alternative of, say, picking someone at random).

How do the incentives work out if everyone pays 1/n of their own bid?

• 2. You are under no obligation to sacrifice even a tiny amount of win percentage in the game or match to make the game finish faster, if you don’t want to do that.
• 3. You are dishonorable scum if you play in order to make the game finish slower, in a way you would not behave if this was a fully untimed round.

Why draw the line here above game win percentage and match wp and yet below tournament wp?

The entire class of General Assistants is only 8%, versus 4% for plant identifiers.

This graph looks like it's just counting the fraction of services in the category rather than having anything to do with revenue.

Think of the derivative of the red curve. It represents something like "for each marginal person who switched their behavior, how many total people would switch after counting the social effects of seeing that person's switch". If the slope is less than one, then small effects have even-smaller social effects and fizzle out without a significant change. If the slope is greater than one, then small effects compound, radically shifting the overall expression of support.

You could split each full tile into its four sub-tiles, each with six connection points. Then, each sub-tile can be one of 15 flavors.

One property of most square-based knots I've seen that would be nice to preserve is if successive crossings alternate over/under.

What do the "Required unnominated" and "Required frontpage" filters do? In particular, unchecking "Required frontpage" seems to filter out frontpage posts rather than including both frontpage and non-frontpage as expected.

If you include the implied (0,0) point, then the quadratic still fits.

At least one of the rot13 questions has a title P(X and Y) that doesn't match the X and Y described in the question.