Economics
Mathematically structured — not narrative
Utility → preferences → markets → game theory → information → mechanism design → macro → monetary → political → computational.
Utility Theory
Preferences, Value, and Risk
Preference relations and utility representation, ordinal versus cardinal utility, the expected-utility theorem, risk aversion, and non-expected utility under ambiguity.
Preferences & Choice
Demand, Duality, and Revealed Preference
The consumer problem, Marshallian and Hicksian demand, the Slutsky decomposition, duality and the envelope theorems, and revealed preference.
Market Equilibrium
Walrasian Equilibrium and Welfare
Walrasian equilibrium, existence and uniqueness, the welfare theorems, the core and Edgeworth equivalence, externalities, and public goods.
Game Theory Foundations
Strategic Interaction in Economics
Strategic form games, Nash equilibrium, extensive form and subgame perfection, Bayesian games, and repeated games and cooperation.
Information Asymmetry
Adverse Selection, Moral Hazard, Signaling
Adverse selection and the lemons problem, signaling, screening, moral hazard, principal-agent models, and information aggregation in markets.
Mechanism Design
Engineering Incentive-Compatible Systems
The revelation principle, auction theory foundations, optimal auction design, matching and stable allocations, and implementation and impossibility results.
Macroeconomic Systems
Aggregate Dynamics and Policy
Aggregates and national accounts, consumption-saving and dynamic optimization, Solow and Ramsey growth, RBC and New Keynesian business cycles, labor search and matching, and fiscal policy and debt dynamics.
Monetary Structures
Money, Banking, and Inflation
Money as a state variable, banking and the monetary base, inflation dynamics, central banking and monetary policy, and fiscal-monetary interaction.
Political Economy
Institutions, Power, and Distribution
Voting and social choice, collective action and public choice, rent-seeking and political failures, institutions and property rights, and development and inequality.
Computational Economics
Simulation and Algorithmic Markets
Computational general equilibrium, DSGE models and perturbation, agent-based models, market microstructure, reinforcement-learning agents in markets, and algorithmic mechanisms in platform markets.
Interactive Labs
Manipulate a system; watch the math predict.
Utility & Indifference
Budget line meets the highest attainable indifference curve.
Market Equilibrium
Tâtonnement dynamics and deadweight loss from price ceilings.
Second-Price Auction
Why truthful bidding dominates, across a thousand trials.
Lemons Market
Adverse selection unraveling in one equation.
Cournot vs. Bertrand
Best-response curves and the equilibrium they determine.
Guided instruction and research mentorship are offered separately → hbar.work