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2.1 — Theory of the Firm

ECON 306 · Microeconomic Analysis · Fall 2020

Ryan Safner
Assistant Professor of Economics
safner@hood.edu
ryansafner/microF20
microF20.classes.ryansafner.com

Producer Behavior

  • How do producers decide:

    • which products to produce
    • in what quantity
    • using which resources
    • and for what price?
  • Answers to these questions are building blocks for supply curves

The Basics of Production

  • Nearly all goods must be produced before we can exchange & consume them

  • Consumption is the destruction of value to gain utility

    • Consumption is the ultimate goal of all economic activity

The Basics of Production

  • Production is the creation of value, by transforming lower-valued goods (resources, inputs, etc) into higher-valued goods (outputs, consumer products, etc)

The Firm

  • In modern market economies, most production takes place in a legal organization known as the firm

  • It does not have to be this way, and for most of history it was not this way!

    • Craft guilds
    • Independent artisans
    • Independent contractors

The Firm

What Do Firms Do?

What Do Firms Do? I

  • We'll assume "the firm" is the agent to model:

  • So what do firms do?

  • How would we set up an optimization model:

  1. Choose: < some alternative >

  2. In order to maximize: < some objective >

  3. Subject to: < some constraints >

What Do Firms Do? II

  • Firms convert some goods to other goods:

What Do Firms Do? II

  • Firms convert some goods to other goods:

  • Inputs: x1,x2,,xn

    • Examples: worker efforts, warehouse space, electricity, loans, oil, cardboard, fertilizer, computers, software programs, etc

What Do Firms Do? II

  • Firms convert some goods to other goods:

  • Inputs: x1,x2,,xn

    • Examples: worker efforts, warehouse space, electricity, loans, oil, cardboard, fertilizer, computers, software programs, etc
  • Output: q

    • Examples: gas, cars, legal services, mobile apps, vegetables, consulting advice, financial reports, etc

What Do Firms Do? III

  • Technology or a production function: rate at which firm can convert specified inputs (x1,x2,,xn) into output (q) q=f(x1,x2,,xn)

Production Function as Recipe

The production function

The production algorithm

Factors of Production I

q=Af(t,l,k)

  • Economists typically classify inputs, called the “factors of production” (FOP):
Factor Owned By Earns
Land (t) Landowners Rent
Labor (l) Laborers Wages
Capital (k) Capitalists Interest
  • A: "total factor productivity" (ideas/knowledge/institutions)
  • and Entrepreneurs/Owners who earn Profit

Factors of Production II

q=f(l,k)

  • We will assume just two inputs: labor l and capital k
Factor Owned By Earns
Labor (l) Laborers Wages
Capital (k) Capitalists Interest

What Does a Firm Maximize?

  • We will assume firms maximize profit (π)

  • Not true for all firms

    • Examples: non-profits, charities, civic associations, government agencies, criminal organizations, etc
  • Even profit-seeking firms may also want to maximize additional things

    • Examples: goodwill, sustainability, social responsibility, etc

Profits Have a Bad Rap These Days

What is Profit?

  • In economics, profit is simply benefits minus (opportunity) costs

What is Profit?

  • In economics, profit is simply benefits minus (opportunity) costs

  • Suppose firm sells output q at price p

What is Profit?

  • In economics, profit is simply benefits minus (opportunity) costs

  • Suppose firm sells output q at price p

  • It can buy each input xi at an associated price pi

    • labor l at wage rate w
    • capital k at rental rate r

What is Profit?

  • In economics, profit is simply benefits minus (opportunity) costs

  • Suppose firm sells output q at price p

  • It can buy each input xi at an associated price pi

    • labor l at wage rate w
    • capital k at rental rate r
  • The profit of selling q units and using inputs l,k is:

Who Gets the Profits? I

π=pqrevenues(wl+rk)costs

Reminder from Macroeconomics: "The Circular Flow"

Who Gets the Profits? I

π=pqrevenues(wl+rk)costs

  • The firm's costs are all of the factor-owner's incomes!
    • Landowners, laborers, creditors are all paid rent, wages, and interest, respectively

Who Gets the Profits? I

π=pqrevenues(wl+rk)costs

  • Profits are the residual value leftover after paying all factors

  • Profits are income for the residual claimant(s) of the production process (i.e. owner(s) of a firm):

    • Entrepreneurs
    • Shareholders

Who Gets the Profits? II

π=pqrevenues(wl+rk)costs

  • Residual claimants have incentives to maximize firm's profits, as this maximizes their own income

  • Entrepreneurs and shareholders are the only participants in production that are not guaranteed an income!

    • Starting and owning a firm is inherently risky!

People Overestimate Profits

Source: American Enterprise Institute

Corporations

  • Corporations are firms that have many owners (shareholders)

    • Each owns at least one share of stock or equity in the firm
  • Shareholders are (partial) owners of the firm

    • Residual claimants on profits
    • Have decision-making rights
    • Limited liability of firm's debts
  • Learn more in a business course!

Corporations

  • Many owners cannot possibly coordinate production: choose managers to run day-to-day production in exchange for a salary

  • One of the key differences in modern large firms is the separation of ownership and control

Agency Theory

Adam Smith

1723-1790

"The trade of a joint stock company is always managed by a court of directors...The directors of such companies, however, being the managers rather of other people's money than of their own, it cannot well be expected that they should watch over it with the same anxious vigilance with which the partners in a private copartnery frequently watch over their own. Like the stewards of a rich man, they are apt to consider attention to small matters as not for their master's honour, and very easily give themselves a dispensation from having it. Negligence and profusion, therefore, must always prevail, more or less, in the management of the affairs of such a company," (Book V, Chapter 1).

Smith, Adam, 1776, An Enquiry into the Nature and Causes of the Wealth of Nations

A Peek Inside the Corporate Veil II

  • Principal-Agent problem: owners and agents may have different incentives

  • Maximizing different things!

    • Shareholders: maximize profit
    • Management: maximize own salary
  • Again, learn more about corporate governance in IO & business courses

The Separation of Ownership and Control

Profits and Entrepreneurship: A Preview

  • In markets, production must face the profit test:

    • Is consumer's willingness to pay > opportunity cost of inputs?
  • Profits are an indication that value is being created for society

  • Losses are an indication that value is being destroyed for society

  • Survival in markets requires firms continually create value & earn profits

The Firm's Optimization Problem I

  • So what do firms do?
  1. Choose: < some alternative >

  2. In order to maximize: < profits >

  3. Subject to: < technology >

  • We've so far assumed they maximize profits and they are limited by their technology

The Firm's Optimization Problem II

  • What do firms choose? (Not an easy answer)

  • Prices?

    • Depends on the market the firm is operating in!
    • Study of industrial organization
  • Essential question: how competitive is a market? This will influence what firms (can) do

Industrial Organization: A Roadmap I

  • Begin with one extreme case: "perfect competition"

    • Firms can choose to sell as much q as they want
    • Firms are constrained to sell at the (exogenous) market price ˉp
  • Appropriate for settings with many firms, each small relative to market

Interlude

  • After we find firm's optimal decisions in this market (and have Exam 2), we will then finally look at market equilibrium

  • Put Supply and Demand together

Interlude

  • We've seen how consumers cause and respond to market changes

    • e.g. (Δpx, Δpy, Δm)
  • We're about to explore how producers cause and respond to market changes

  • Finally we can explain all of these market changes with Supply and Demand equilibrium models

  • Discuss how markets work, why they are good & efficient, and when they fail

Industrial Organization: A Roadmap II

  • Examine another extreme case: monopoly of a single seller

    • Appropriate for some markets
  • "Imperfect competition": models of monopolistic competition & oligopoly

    • In latter case, firms act strategically, so we will need game theory
  • Firms can choose both q & p to maximize π

Producer Behavior

  • How do producers decide:

    • which products to produce
    • in what quantity
    • using which resources
    • and for what price?
  • Answers to these questions are building blocks for supply curves

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