The question about how the different economic units such as consumers, governments, and enterprises operate in a competitive markets und make the decisions under conditions of limited amounts of resources is a main subject of studies of the economic science. The lack of resources has turned into a vexed problem in recent years, while people’s desires keep increasing.
In order to deal with such a conflict, these three basic questions should be answered by economic systems: What services and goods should be produced and in what quantities? How should these services and goods be produced? Who would be the end customers of such services und goods and how should these should be distributed? Microeconomic theory defines and models an economic activity as an interaction of individuals (economic agents) pursuing their private interests.
Considering different microeconomic processes for better understanding the principles of the whole economy we are interested in how the goods are distributed among consumers within different markets. What condition markets’ outcomes, i.e. prices of goods and services and quantities traded, are agents’ behavioral characteristics and the market mechanisms, described of law of supply and demand. It is common to divide two large and groups of agents - households and firms, each of them plays its own role in the market.
Table of Contents
Prologue
Part I. General Equilibrium in a Pure Exchange Economy
1.1. Positive Analysis
1.1.1 Pure Exchange Economy
1.1.2. Walras' Law and the Walrasian Equilibrium: Definitions
1.1.3 Existence of Walrasian Equilibrium
1.1.4 Uniqueness of Walrasian Equilibrium
1.1.5 Stability of Walrasian Equilibrium
1.2. Normative Analysis: Welfare Economics
1.2.1 The First Fundamental Theorem of Welfare Economics and Its Implication
1.2.2 The Second Fundamental Theorem of Welfare Economics and Its Implication
Part II : General Equilibrium with Production
2.1. Positive Analysis : Walrasian Equilibrium with Production
2.2. Welfare Economics
Research Objectives & Key Themes
This essay aims to examine competitive market economies from a general equilibrium perspective, specifically focusing on the contributions of Léon Walras. It explores how market prices clear across multiple markets simultaneously, analyzes the properties of these equilibria, and investigates the relationship between competitive equilibrium and Pareto efficiency through the lenses of welfare economics.
- The theoretical foundations of Walrasian general equilibrium in pure exchange economies.
- Mechanisms for achieving equilibrium through price adjustments and the role of the "auctioneer."
- Conditions for the existence, uniqueness, and stability of competitive equilibria.
- The integration of production processes into the general equilibrium framework.
- An assessment of normative welfare implications via the two Fundamental Theorems of Welfare Economics.
Excerpt from the Book
1.1.2. Walras' Law and the Walrasian Equilibrium: Definitions
Now we suppose that there is a third party who is acting as an “auctioneer” for the two market agents A and B. The auctioneer chooses a price for good 1 and 2 and presents these prices to the agents A and B. Each agent can understand now how much his endowment is worth at the prices (p1, p2) and decides how much of each good he would want to buy at those prices. Next figure illustrates the two demand consumption bundles of the both agents.
As it could be seen on the figure, there are two concepts of demand to be distinguished: gross demand (total amount of good person wants to buy at the given prices) and net demand (amount of good person wants to purchase). Considering the term of net demand in the context of general equilibrium study, it presents, in fact, the difference between the total demand and the initial endowment of the good, that agent possesses.
In other words it can be described as excess demand, so A's excess demand for a good 1 takes following form: e1A = x1A - w1A (3). For the arbitrary prices (p1, p2) no guarantees exist that supply will equal demand; in the example above the individuals can't proceed with the transaction they would prefer because the markets are not clear.
Summary of Chapters
Prologue: Introduces the fundamental economic questions regarding production and distribution and sets the stage for examining Léon Walras' neoclassical model of general equilibrium.
Part I. General Equilibrium in a Pure Exchange Economy: Analyzes the determination of prices and quantities in a perfectly competitive market where participants have fixed endowments, covering definitions, existence, uniqueness, and stability of equilibrium.
Part II : General Equilibrium with Production: Extends the pure exchange model by incorporating production functions, using the Robinson Crusoe economy model to demonstrate how production and consumption decisions interact to reach equilibrium.
Keywords
General Equilibrium, Walrasian Theory, Pure Exchange Economy, Pareto Efficiency, Welfare Economics, Price Mechanism, Gross Demand, Net Demand, Excess Demand, Competitive Market, Production Function, Robinson Crusoe Economy, Fundamental Theorems of Welfare Economics.
Frequently Asked Questions
What is the primary focus of this seminar essay?
The essay provides an in-depth examination of Walrasian general equilibrium theory, investigating how markets function and reach equilibrium in both pure exchange scenarios and economies with production.
What are the core thematic fields covered?
The core themes include market clearing conditions, the interaction between different economic agents, price determination, the implications of welfare economics, and the mathematical representation of equilibrium states.
What is the central research question?
The research explores how Léon Walras' general equilibrium perspective explains the coordination of economic activities and whether such competitive markets achieve efficient resource allocation.
Which scientific methods are employed?
The work utilizes microeconomic modeling, specifically applying graphical tools like the Edgeworth box and mathematical equations to illustrate market clearing processes and excess demand functions.
What does the main body of the text address?
The main body breaks down the theory into positive analysis (how markets work) and normative analysis (welfare properties), transitioning from simple exchange economies to more complex models involving production.
Which keywords best describe this study?
Key terms include General Equilibrium, Walrasian Theory, Pareto Efficiency, Welfare Economics, and Market Clearing.
How does the "auctioneer" concept function in this model?
The auctioneer acts as a theoretical construct that adjusts prices until supply equals demand across all markets, ensuring the equilibrium conditions are met.
What is the significance of the Fundamental Theorems of Welfare Economics discussed here?
These theorems establish the mathematical relationship between competitive market equilibria and Pareto efficiency, identifying the conditions under which market outcomes are socially optimal.
How is production incorporated into the general equilibrium analysis?
Production is introduced by modeling firm behavior—often through the simplified Robinson Crusoe example—to show how individual agents make simultaneous production and consumption decisions to maximize profit and utility.
- Citation du texte
- Dipl.-Ing. Dipl.-Wirt.Ing. Siamak Hadifar (Auteur), 2017, The Walrasian General Equilibrium Theory, Munich, GRIN Verlag, https://www.grin.com/document/421918
