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2.1: Theory of the Firm

ECON 306 · Microeconomic Analysis · Spring 2020

Ryan Safner
Assistant Professor of Economics
safner@hood.edu
ryansafner/microS20
microS20.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

  • Firms exist in the forms they do because they are an efficient response to particular problems of economic organization

  • For now, we'll sidestep this interesting issue, you can take my Industrial Organization course to learn more!

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=f(t,l,k,e,a)

  • Economists typically classify inputs, known as factors of production (FOP):
Factor Owned By Earns
Land (t) Landowners Rent
Labor (l) Laborers Wages
Capital (k) Capitalists Interest
Entrepreneurship (e) Entrepreneurs Profit
  • a: "total factor productivity" (ideas/knowledge/institutions)

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

A Peek Inside the Corporate Veil I

  • While the largest category of firms have a sole proprietor, corporations have many owners (shareholders)

  • 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

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

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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