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A page for latex formatting pre with latex code followed by mathjax examples how to install latex in different ways lyx overleaf texstudio mathjax (you cannot submit your ) latex formatting basic math environments greek letters and whatnot underscores, and expoenents sums and other useful tidbits Constrained Optimization Quick Reference Mathematical Concepts simple derivative approach conditions for uniqueness with a binding constraint Note that you have to check for critical points and check along the boundary conditions KKT conditions generalize this notion Econ Examples: One period consumer problem with two goods Two period problem, basically the same if rearrange the problem to be intermemporal generalization to infinite time () adding labor and leisure capital instead of bonds Quick reference Competitive equilibrium - introduction Concepts Market clearing - limits on trade between agents endogenous prices each consumer only chooses their own allocations, price taking Example: apples and bananas with two people Intertemporal endowment with labor and capital Infinite time with both versions side by side Olg side by side Pareto Efficiency and Social Planner First welfare theroem stuff ... second welfare? principle of optimality? Search Problems Optimization with lagrangians Competitive equilibrium bellman slp optimization VARIANTS: TDCE implementabnility etc. Cash Credit SLP 3 and 4 summary, quick reference guide Serach and matching