Something like "ownership" seems right, as well as the loss aversion issue. Somehow, this seemingly-irrational behavior seems perfectly natural to me (and I'm familiar with similar complaints about the order of cards coming out). If you look at it from the standpoint of causality and counterfactuals, I think it will snap into place...
Suppose that Tim was waiting for the king of hearts to complete his royal flush, and was about to be dealt that card. Then, you cut the deck, putting the king of hearts in the middle of the deck. Therefore, you caused him to not get the king of hearts; if your cutting of the deck were surgically removed, he would have had a straight flush.
Presumably, your rejoinder would be that this scenario is just as likely as the one where he would not have gotten the king of hearts but your cutting of the deck gave it to him. But note that in this situation the other players have just as much reason to complain that you caused Tim to win!
Of course, any of them is as likely to have been benefited or hurt by this cut, assuming a uniform distribution of cards, and shuffling is not more or less "random" than shuffling plus cutting.
A digression: But hopefully at this point, you'll realize the difference between the frequentist and Bayesian instincts in this situation. The frequentist would charitably assume that the shuffle guarantees a uniform distribution, so that the cards each have the same probability of appearing on any particular draw. The Bayesian will symmetrically note that shuffling makes everyone involved assign the same probability to each card appearing on any particular draw, due to their ignorance of which ones are more likely. But this only works because everyone involved grants that shuffling has this property. You could imagine someone who payed attention to the shuffle and knew exactly which card was going to come up, and then was duly annoyed when you unexpectedly cut the deck. Given that such a person is possible in principle, there actually is a fact about which card each person 'would have' gotten under a standard method, and so you really did change something by cutting the deck.
A digression: But hopefully at this point, you'll realize the difference between the frequentist and Bayesian instincts in this situation. [...]
Yep. This really is a digression which is why I hadn't brought up another interesting example with the same group of friends:
...One of my friends dealt hearts in a manner of giving each player a pack of three cards, the next player a pack of three cards and so on. The amount of cards being dealt were the same but we all complained that this actually affected the game because shuffling isn't truly random and it wa
We've had these for a year, I'm sure we all know what to do by now.
This thread is for the discussion of Less Wrong topics that have not appeared in recent posts. If a discussion gets unwieldy, celebrate by turning it into a top-level post.