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define a class using the above so that I can nest concepts Concepts Highest Level
sub Level
another entry
now something with a child
and her are
the children
also write equations in terms of defined commands like \savings{t}, so I can autogenerate an emoji version. 
testtest
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