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What are FOCs and SOCs? - Economics Stack Exchange
WEBJan 22, 2015 — For example when you are talking about profit maximization starting from a profit function π(q) π q, the main condition for a maximum is that: ∂π ∂q 0 0. This is the FOC (first order condition). Though, to be sure that what you have found above is a maximum you should also check a 'secondary' condition which is: ∂2π ∂q2 0 ∂ 2 q 2 0.
Economics.stackexchange.comFOC greater than 0 - Economics Stack Exchange
WEBFeb 28, 2023 — 4. It's not quite possible to have "FOC greater than 0", since the FOC is a condition, not a number. What is really meant here is the derivative of the utility function. If your utility function is given by u(x) u (x), then the FOC for a maximum would be u′(x) = 0 u ′ (x) = 0. Now if you calculate the derivative u′(x) u ′ (x) and then
Economics.stackexchange.comDeriving the Euler Equation - Economics Stack Exchange
WEBSep 4, 2015 — Now to get the Euler equation: If you take the derivative of that with respect to K_t+1 you will get your FOC there. (This is the FOC for the whole Lagrangian, because the derivative of U(C) with respect to K is 0 here, as any dependence of C on K is already in the constraint.) Your Euler equation involves 3 unknown variables: Ct, Ct+1 and Kt+1.
Economics.stackexchange.comoptimal control - Current Value Hamiltonian VS Present Value
WEBSep 8, 2020 — There is no clear right and wrong about this, it's just a matter of convenience. The current-value Hamiltonian is likely to be more convenient when the objective function includes a discount factor.
Economics.stackexchange.comSecond Order Condition - Always means second derivative?
WEBApr 7, 2023 — This may seem simple, but weirdly when I first learnt this, I more just associated the conditions with actual order and a sense of rigourousness. I.e. the FOC was the first thing we did, and then the SOC was the second thing we did, and it felt a bit more strict. Rather than associating it explicitly with derivatives. Thanks!
Economics.stackexchange.commacroeconomics - Maximization problem FOC and Euler equation
WEBMay 8, 2019 — 1 Answer. Taking a variable as given comes from the assumptions of the model and cannot result from any optimisation problem (think simply that when a variable is taken as given it is treated as a constant in your problem so one cannot lead to the other). Here, taking the public good as given means the household is not able to choose the …
Economics.stackexchange.comoptimization - Contradictory FOC and maximizing solution
WEBFeb 19, 2021 — A maximum or minimum will occur at points where df(x, y)/dx = df(x, y)/dy = 0 d f (x, y) / d x = d f (x, y) / d y = 0, but so will saddle points. FOCs cannot distinguish between whether point is maximum, minimum or saddle point, it can just tell you that you found points at which slope is zero. What even more a function can have multiple local
Economics.stackexchange.comsetting of Lagrangian function - Economics Stack Exchange
WEBDec 20, 2020 — Max u(X) s.t. ∑lipixi ≤ ∑lipiwi. w is initial endowment. We can set the Lagrangian function to solve this problem. L = u(X) + λ(∑lipiwi + ∑lipixi) But some may set the Lagrangian function as differenct way. L = u(X) + λ(∑lipixi − ∑lipiwi) The result of calculation is same except the sign of Lagrangian multiplier λ.
Economics.stackexchange.comsimplification of FOC - Economics Stack Exchange
WEBMar 19, 2022 — 1. This is the first-order condition of a dynamic programming problem where I am trying to get the Euler equation from a sequential problem. (1) ∂V(d2) ∂d3 = −1 d2 −d3 + β d3 = 0 ∂ V (d 2) ∂ d 3 = − 1 d 2 − d 3 + β d 3 = 0. (2) d3 = βd2 1 + β d 3 = β d 2 1 + β. Can anyone plz show the steps of this simplification from
Economics.stackexchange.comNew-Keynesian Model: Log-linearizing the firm's FOC
WEBMar 24, 2015 — Basically, the first order condition for maximizing a firm's profit. 0 < θ <= 1 0 < θ <= 1, α α is markup over competitive price. MC is marginal cost. And beta = Pt+k/Pt b e t a = P t + k / P t. At the zero inflation steady state (the …
Economics.stackexchange.com