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army1987 comments on Proportional Giving - Less Wrong Discussion
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A way of modelling this is replacing u(x) with a u(X, L), where L is the number of non-work hours in a week, and replacing S with (168 - L)W, where 168 is the total number of hours in a week and W is your hourly wage. Then you maximize u((168 - L)W - g, L) + wtg with respect to L and g.