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生產(chǎn)者理論知識(ppt55頁)-在線瀏覽

2025-03-20 18:19本頁面
  

【正文】 ary Input Demand Optimisation Comparative Statics The Firm and the Market Conditional Input Demand dinary Input black box problems Choose z to minimise S wi zi m i=1 Q ? G(z) ...subject to the production constraint... z ? 0 ...and the obvious nonnegativity conditions The solution to the firststage problem ... C(w, Q) := min ? wi zi vector of input prices Specified output level and, presumably... Yields minimised cost as a function of exogenous variables... one for each of the m inputs z1* = H1(w,Q) z2* = H2(w,Q) ... ... ... ... zm* = Hm(w,Q) ? ? ? ...optimal input demands as a function of exogenous variables demand for input i, conditional on output Q We need to examine the first stage of the optimisation process zi* = Hi(w,Q) A function of input prices ...and output level conditional input demand function (our first response function) Result depends on shape of Z z 1 z 2 z 1 z 2 z 1 z 2 z 1 z 2 z2 z1 Take the conventional case... Map the optimum into (z1,w1)space z2 z1 w1 z1 Start with an arbitrary value of w1 ... Do it again for a lower value of w1 ......and again to get... H1(w,Q) the conditional demand curve ?In the conventional case... ?... the constraint set is convex, with a smooth boundary ?We find the solution is a continuous map... ?... that is single valued. Points to note Result depends on shape of Z z 1 z 2 z 1 z 2 z 1 z 2 z 1 z 2 Z(Q) _ 2 z2 z1 What about the nonconvex case...? again map the optimum into (z1,w1)space Z(Q) _ 2 w1 z2 z1 z1 ...now try a very low value of w1 But what happens in between? a demand correspond
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