lecture notes 8 dynamic optimization part 1 calculus of variations peter j hammond revised 2020 september 26th typeset from calcvar20 tex university of warwick ec9a0 maths for economists peter j ...
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...Lecture notes dynamic optimization part calculus of variations peter j hammond revised september th typeset from calcvar tex university warwick eca maths for economists outline introduction vickrey mirrlees model typical problem economic application how much to pay workers dierent skills goal achieve fairness while preserving incentives references william s measuring marginal utility by reactions risk econometrica james a an exploration in the theory optimal income taxation review studies let n r denote person skill level dened mean that there is constant rate substitution between hours work supplied two levels and thus worker productivity proportional personal assume distribution can be described continuous density function f which like probability satises dn objective constraints macro with representative consumer whose preferences consumption labour supply pairs c are represented u v where social maximize it maximizes integral w t functions resource balance constraint takes form l e...