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Is it possible?
Hi, I'd really appreciate your help... I'been asked to perform a kind of analysis I've never done before..and I'm not even sure that it's possible. Suppose you have value function V=v[x(a,b,c,d),y(....),z(......)] The key-parameter is 'a' and it turns out that the first and second (partial) derivatives of V with respect to 'a' are negative and positive respectively. (V is continous) Now there's a problem: I've been asked to invert V(a) (keeping b,c and d constant)and to study the derivatives of this inverse function with respect to b, c and d. I'm not sure it's possible to do such a thing. ANd even if it is possible, I do not know how to start. Could you be so kind to tell me: 1) if it is actually possible to perform this study; 2) if the answer is yes, could you suggest me a starting point or any reference? Thank you in advance