📊 Volume I: Microeconomic Theory & Market Behavior

Microeconomics is the formal analysis of individual decision-makers—consumers, workers, and firms—operating under resource constraints in decentralized markets. Grounded in mathematical optimization and axiomatic decision theory, Volume I builds from individual choice to general competitive equilibrium.

---

🏛️ Volume Architecture

Volume I: Microeconomics
 ├── 1. Consumer Preferences, Utility & Demand Systems (Slutsky, Roy, Shephard)
 ├── 2. Production Theory, Cost Functions & Duality (Cobb-Douglas, CES, Envelope Theorem)
 ├── 3. Market Structures & Monopoly Power (Price Discrimination, Deadweight Loss)
 ├── 4. Oligopoly & Strategic Game Theory (Cournot, Bertrand, Stackelberg, Nash)
 ├── 5. General Equilibrium & Welfare Economics (Edgeworth Box, Fundamental Theorems)
 ├── 6. Market Failures, Externalities & Asymmetric Information (Coase, Akerlof, Lemons)
 ├── 7. Factor Markets & Distribution Theory (Marginal Productivity, Monopsony)
 └── 8. Behavioral Economics & Choice Architecture (Prospect Theory, Heuristics)

---

🧭 Chapters in this Volume

1. Consumer Theory & Demand Systems

Axioms of preferences, Lagrangian constrained utility maximization, Marshallian vs. Hicksian demand curves, indirect utility functions, Roy's Identity, expenditure functions, Shephard's Lemma, the Slutsky equation, and price/income elasticities.

2. Production, Cost Functions & Firm Theory

Production sets, isoquants, Marginal Rate of Technical Substitution ($MRTS$), Cobb-Douglas and CES production functions, returns to scale, cost minimization, conditional input demands, the Envelope Theorem, and long-run vs. short-run cost structures.

3. Market Structures & Monopoly Power

Short-run and long-run competitive equilibria, profit maximization under pure monopoly, Lerner Index of monopoly power, 1st/2nd/3rd degree price discrimination, two-part tariffs, and natural monopoly regulation.

4. Oligopoly & Strategic Game Theory

Strategic interaction in imperfect markets: Cournot quantity competition, Bertrand price competition, Stackelberg leadership, pure and mixed strategy Nash equilibria, subgame perfection, backward induction, and repeated games.

5. General Equilibrium & Welfare Economics

The Edgeworth Box exchange and production economy, Pareto efficiency, contract curves, Walras' Law, First and Second Fundamental Theorems of Welfare Economics, and social welfare functions.

6. Market Failures, Externalities & Asymmetric Info

Negative and positive externalities, Pigouvian corrective taxation, Coase Theorem property rights, public goods and free-riding (Samuelson condition), adverse selection (Akerlof's Market for Lemons), and principal-agent moral hazard.

7. Factor Markets & Distribution Theory

Derived demand for labor, Marginal Revenue Product of Labor ($MR{P}_L$), wage determination under perfect competition and monopsony, minimum wage economic impacts, and economic rent.

8. Behavioral Economics & Choice Architecture

Deviations from standard neoclassical rationality: Bounded rationality, Kahneman-Tversky Prospect Theory (loss aversion, reference dependence, probability weighting), hyperbolic time discounting, and libertarian paternalism nudges.

---

⚡ Core Mathematical Foundations

Every microeconomic agent solves a constrained optimization problem.

$$\underset{x\in X}{max}U(x)\text{subject to }p\cdot x\le m$$

The solution generates the Marshallian demand system $x^{\ast }(p,m)$ and the value function $V(p,m)\equiv U(x^{\ast }(p,m))$. By duality, the expenditure minimization problem:

$$\underset{x\in X}{min}p\cdot x\text{subject to }U(x)\ge u$$

generates the Hicksian compensated demand system $h(p,u)$ and the expenditure function $e(p,u)\equiv p\cdot h(p,u)$.

---