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dclayh comments on Let's split the cake, lengthwise, upwise and slantwise - Less Wrong
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Comments (27)
Has anyone dealt with bargaining games where different pure solutions cannot be linearly combined (i.e. a non-convex solution space)?
The direct answer is "yes", as you might have discovered by googling.
But different pure solutions can always be linearly combined - at least if the combination is supposed to be an expected utility rather than a guaranteed utility.
In an American football game, a coin is flipped at the start to produce a fair linear combination of "kicking off" and "receiving".
But if dclayh had used google instead of asking the question in a comment, you never would have had the opportunity to respond with your point about expected utility.
Asking in a comment could also attract the interest of others who might not have thought to ask that question, and gives others the opportunity to give their own answer or link to a resource they think is particularly good, that they might be able to answer follow up questions about.