Chapter Eleven. 222

Imperfect Competition and Game Theory  222

 

The Effect of Advertising on Consumer Choice. 223

Visual Aids for Industrial Organization. 223

Product Differentiation and Consumer Illusions. 223

Brand Name Quiz. 224

The Seemingly Irrational Consumer. 225

Is Beer Artificially Differentiated?. 226

VHS Tapes. 227

The Benefits of Product Differentiation. 227

The Oligopolist's Dilemma. 228

Variations in Demand Elasticity and Firm Behavior. 230

Collision, Cooperation, and Collusion. 230

Pedagogic Reasons for Kinked Demand Models. 230

Oligopoly and Collusion. 231

Economics and Extortion. 231

Grade Collusion in the Classroom.. 232

Collusion and the Creation of an Exam.. 232

Illustrating Collusion. 233

Student Collusion. 234

Cartels and the Incentive to Cheat 234

Dollar Bills and Cartel Stability. 235

Why Cartel Members "Cheat". 235

Supermarket Coupons and Noncollusive Oligopolists. 236

Discouraging Shirking in Group Projects. 236

The Oligopoly Game. 237

Oligopolistic Interdependence. 237

Prisoner's Dilemma. 238

Attending Class as a Prisoner' Dilemma. 239

Simple Game Theory and Oligopoly Models. 240

Competitive Strategies. 241

Cost Analysis of the Multiproduct Firm.. 243

Chapter Eleven

Imperfect Competition and Game Theory


Product Differentiation

The Effect of Advertising on Consumer Choice

Robert M. Kenney, Miami‑Dade Community College

To help my students understand how consumer choice is influenced by television advertising, I ask them to name the worst commercial they remember. As each student answers, he almost invariably names the product being advertised. If he doesn't, I ask what it is. Without exception he is able to do so. When the last student has answered I point out that even though I asked for the worst commercial, each student responding was able to recall the product which, after all, was the purpose of the advertisement.

Visual Aids for Industrial Organization

Josef M. Broder, University of Georgia

Economics instructors often get more excited by industrial organization than many of their students. Graphical and mathematical descriptions of monopolies, oligopolies, etc., are challenging but tend to overwhelm beginning students. To supplement textbook presentations of industrial organization, I bring to class visual aids or actual commodities produced by firms in a given industry.

            For competitive firms I use samples of undifferentiated corn from several corn producers. For the monopolistically competitive local fast food market I use the Burger King Whopper and McDonald's McDLT. Oligopolies can be illustrated by samples of Coke and Pepsi; packages of Lipton, Luzianne, and Tetley teas; or boxes of 35mm film from Kodak and Fuji. Products from monopoly or near monopoly markets include those with patent or copyright protection, i.e., Polaroid self developing film, computer software, or, my favorite, the patented Grippo guard on common household metal clothes hangers.

            These consumer products can readily be used to explore questions of structure, behavior, and performance in various industries. Specific pricing strategies of monopolists can be illustrated by identical bottles of Heinz ketchup, one originating from the local grocer, the other used in a local restaurant. A comparison of prices for identical products sold by full‑service grocers to those sold in convenience stores is also a valuable teaching aid. A visual inspection of the colorful, cleverly designed, and extensively researched packages of differentiated products give the students a better understanding of oligopolistic behavior. With time, the instructor may be able to structure his/her entire lectures around particular consumer products.

Product Differentiation and Consumer Illusions

James Angresano, Hampden‑Sydney College

When introducing monopolistic competition to my principles students, I seek to impress upon them that the main characteristic of this industry structure is that consumers perceive that products are different. That is, many products may be differentiated in the minds of consumers where no substantive differences exist.

            I begin by asking who can discern differences between Coca Cola and Pepsi Cola. At least 10 students quickly raise their hands. I then ask five of them to come to the front of the room. I place 10 glasses on a table, each of which contains some cola. I place an empty Coke and an empty Pepsi bottle on the table and tell the students that five of the glasses (say row A) contain Pepsi and five of the glasses (Row B) contain Coke. Each student is asked to drink from a glass in row A, eat a cracker, and then drink from a glass in Row B. No one in the class, including the tasters, is permitted to talk during this test. After they have tasted the soda I ask them which row contained Pepsi and which row contained Coke. In nearly every case some students will believe that Row A was Coke, while others will insist that Coke was in Row B. I then inform the class that all glasses contained RC Cola (or some cola other than Coke or Pepsi). This demonstrates to them (in addition to the lesson that they should be wary of authority figures) that goods have images and that differences between them may be more imaginary than real.

Brand Name Quiz

G. Michael Sher, University of Minnesota and

S. Gupta, Jackson Energy Cooperative

            1.         Aspirin.  Bristol Myers makes:

 

                                    a.         Excedrin                                   b.         Bufferin

 

            2.         Toothpaste.  Proctor and Gamble makes:

 

                                    a.         Crest                                        b.         Gleem

 

            3.         Drain cleaner.  Bristol Myers makes:

 

                                    a.         Drano                                       b.         Vanish

 

            4.         Laundry detergent.  Proctor and Gamble makes:

 

                                    a.         Tide                                         d.         Oxydol

                                    b.         Cheer                                       e.         Bold

                                    c.         Gain

 

            5.         Furniture polish.  Johnson Wax makes:

 

                                    a.         Klean and Shine                       b.         Favor

 

            6.         Soap.  Proctor and Gamble makes:

 

                                    a.         Zest                                          d.         Camay

                                    b.         Lava                                         e.         Safeguard

                                    c.         Ivory

 

            7.         Aspirin.  Sterling Drug makes:

 

                                    a.         Bayer                                       c.         Midol

                                    b.         Cope                                        d.         Vanquish

 

            8.         Dishwashing liquid.  Proctor and Gamble makes:

 

                                    a.         Joy                                           c.         Thrill

                                    b.         Ivory

 

            9.         Household cleaner.  Texize makes:

 

                                    a.         Fantastic                                   c.         Grease Relief

                                    b.         Janitor in a Drum

 

            10.       Cleaner.  Proctor and Gamble makes:

 

                                    a.         Spic and Span                          b.         Top Job

 

            11.       Sugar.  Amstar makes:

 

                                    a.         Domino                                    b.         Spreckels

 

            NOTE: All answers to all the preceding questions are correct.

The Seemingly Irrational Consumer

Josef M. Broder, University of Georgia

Many students pride themselves as being wise consumers, often going to great lengths to find bargains. Similarly, economics professors reinforce these beliefs in their lectures on consumer demand. In theory, consumers are assumed to be rational, i.e., that consumers be able to choose among bundles of goods, that consumer choices be transitive or consistent, that consumers prefer more to less, etc. Central to the consumer choice process is consumer product information which often leaves much to be desired. The absence or distortion of such information may lead to the seemingly irrational consumer.

            To demonstrate the practical pitfalls of consumer choice, I have the class participate in consumer taste panels. First, I select three competing, yet similar, food or beverage products. Next, I ask students to rank these competing brands on the basis of (expected) quality and price. Then, students participate in blind taste tests where products are disguised as brands A, B, or C. Next, the blind taste test is repeated with the same brands labeled X,Y, and Z. Finally, I collect taste panel questionnaires used in the exercise and compile the results. Questions addressed by exercise include, but are not limited to, the following:

 

            1.         Do students associate quality with price?

            2.         Are students' prior expectations consistent with taste panel results?

            3.         Are student preferences similar in repeat taste panels?

            4.         Are student purchase choices rational?

 

            Previous applications of this exercise have found that students often confuse quality and price, that lower priced brands are often preferred over more expensive brands, that many students cannot distinguish between competing brands, that many students overinvest in high‑priced brands which they later judge as being inferior to cheaper brands, and that the use of taste panels in advertising, as well as advertising itself, can be misleading.

            Students find the taste panel exercise to be both informative and challenging. I use the exercise to introduce and critique consumer economics. The questionnaire used in the taste panel exercise is shown below:

 

TASTE PANEL

 

            Please rank the following on the basis of what you know or expect from these brands (where 1 = most preferred or most expensive and 3 = least preferred or cheapest):

 

                        Product           Preference       Price

                        Brand              Ranking         Ranking

                        Lipton              _____              _____

                        Luzianne           _____              _____

                        Tetley               _____              _____

 

                                    Blind Taste Tests

            Test One (A, B, & C)             Test Two (X, Y, & Z)

            1st Preference_____                1st Preference_____

            2nd Preference_____               2nd Preference_____

            3rd Preference_____                3rd Preference_____

 

Is Beer Artificially Differentiated?

Craig Nauman, Madison Area Technical College

My idea is designed to illustrate non‑price competition in oligopoly. Students are asked to find the average price of a six‑pack of their regular beer. Beers are then grouped according to type (regular, premium, super premium, light). To illustrate the non‑price competition, a sample of each type of beer is brought to class for a blind taste‑testing. Students are asked to name the type, and, if possible, the brand. Invariably they cannot tell either, and find that the price of beer has little to do with their taste favorite.

Monopolistic Competition

VHS Tapes

Joseph Phillips, Jr., Creighton University

To crystallize the concept of a monopolistically competitive industry model, I utilize one of the hottest consumer products today, VHS format videotapes. The casings found on the tapes are identical in every respect except for brand names which makes them compatible with all brands of VHS tape decks, the "competitive" nature of the model.

However, differences in quality, though subtle (color definition, picture detail and dropout tendencies, for example) give each brand a uniqueness of its own, the "monopolistic" element of the model.

It is pointed out that absent a special sales price, videotapes are generally sold within a very tight price range and that because the consumer has numerous alternatives, one brand could lose its entire market if it unilaterally increases price dramatically. The current video craze is a major source of examples which effectively maintains the student's interest.

The Benefits of Product Differentiation

Ralph T. Byrns

Poll your class about the percentage price cuts, percentage increases in safety, and percentage increases in miles per gallon that would be necessary before they would all be willing to drive identical cars. You may be surprised at how much even impoverished students are willing to pay for product differentiation in automobiles when you discuss this feature of monopolistically competitive markets.

            Discuss the benefits of product differentiation, and suggest to your class that savings might be as high as 20 percent if we would all buy standardized cars, clothing, homes, or whatever. Ask how many would acquiesce to majority rule to consume these standardized items at such savings. You may be shocked to discover that most are willing to pay very high amounts for product differentiation. Remind them that the negatively sloped demand curves associated with differentiation lead firms to follow inefficient policies. Use this to emphasize the analytics of the (in)efficiency of monopolistic competition. Then challenge your students to rationalize differentiation as an efficient production device. (This may be impossible {unless price discrimination is perfect}, but it will stimulate a lot of thought among your better students.)

Imperfect Competition

The Oligopolist's Dilemma

Josef M. Broder, University of Georgia

The concept of the "oligopolist's dilemma" is a graphical extension of the kinked demand curve and can be used to complement intuitive explanations of oligopolistic pricing behavior. Consider the case of the duopoly. The uncertainty of competitor reaction to price changes leads to price rigidity and non‑price competition. The possibility that competitors may or may not follow suit in a price change leads to two separate demand curves facing the oligopolist: the matched and unmatched curves. The matched demand curve results when competitors match all price changes while the unmatched demand curve results when competitors fail to match these price changes.

 

            The oligopolist's dilemma can be shown graphically by assuming that the oligopolist is currently selling at the intersection of the matched and unmatched demand curve and by examining the total revenue consequences which might result from a price change. This dilemma is best summarized in Figure 26‑2. where any price change by the risk averse oligopolist could lead to a loss in market shares and a loss in total revenue as shown by movements along the truncated or solid lined total revenue curve.

 

            For example, the oligopolist selling four units of quantity at a price of $2 explores the potential for increasing total revenue by changing price. Company analysts estimate that total revenue may be increased by either increasing or decreasing price toward the point of unitary elasticity. Since our firm cannot predict how competitors will react, a price change involves risk. The possible reactions to price changes are as follows:

 

         (a)     Our firm increases prices to $2.50, competitors match price increases and total revenue increases from $8 to $8.75.

 

         (b)     Our firm increases price to $2.50, competitors do not match price increase and total revenue declines from $8 to $5.

 

         (c)     Our firm decreases prices to $1.50, competitors do not match price decrease and total revenue increases from $8 to $9.

 

         (d)     Our firm decreases prices to $1.50, competitors match price decrease and total revenue declines from $8 to $6.75.

 

            With these options, firms avoid price competition and attempt to engage in tacit collusion on price increases (price leadership). Translating the kinked demand curve into total revenue and using real numbers in these graphs gives students a better understanding of the oligopolist's behavior.

Figure 26‑2 The Oligopolist's Dilemma

Variations in Demand Elasticity and Firm Behavior

Eric K. Steger, East Central University

To help my students better understand profit maximizing behavior, I assume that I approach the ticket window at a local movie theater immediately after the movie begins. I know that there are vacant seats because I counted the number of people buying tickets. Therefore, I offer the cashier half of the regular ticket price to let me see the remainder of the movie. I assert that I will not purchase the ticket at the regular price. I explain to the students that I really don't expect the seller to give me a 50 percent discount but it would be in the theater's interest to do so because the marginal revenue generated would exceed the marginal cost of this decision. The firm has excess capacity and can provide to me a slightly differentiated service (I don't see all the movie) without increasing its marginal costs.

            Typically, students ask, "If my reasoning is accurate why don't we see theaters offering different quality tickets at different prices?" My response is that they do recognize different demand elasticities among their customers by offering price discounts for matinees and other off‑peak showings. However, theater management does not recognize that another market may exist that is responsive to movie quality differentiation (not being able to see the entire film) in return for price discounts. As an example of this type of pricing, I explain that the airlines have offered `standby' discounts for customers who are willing to bear uncertainty.

Collision, Cooperation, and Collusion

Anthony J. Greco, University of Louisiana at Lafayette

I speak in terms of "Collision v. Collusion." The collision course is followed when firms act independently relative to price and/or other facets of competition. They can be said to be traveling in different cars rushing toward the same customers. The collusive course, on the other hand, avoids run‑ins among firms. The firms are essentially traveling in the same car moving toward customers.

Pedagogic Reasons for Kinked Demand Models

Ralph T. Byrns

In an address after being awarded the Nobel Prize, George Stigler disparaged the continued appearance of kinked demand curves in economics textbooks because empirical testing does not seem to confirm the price stickiness predicted by this model. Nevertheless, the kinked demand curve model excels in conveying the idea that oligopolistic decision making is interdependent. Thus, going over this model in class is usually time well spent.

Oligopoly and Collusion

Edward Fagerlund, Minnesota Department of Commerce

Two groups of three students each are selected and directed to stand at opposite corners in front of the class. (Try to make sure at least one bright student is in group I.) All the students are told that each of them has a widget to sell, that they each should submit a slip of paper showing their name and the lowest amount they will accept for the widget (maximum $1), and that I will buy one widget from each group. The following conditions are imposed:

 

Group I ‑ three persons ‑ can talk between themselves.

 

Group II ‑ three persons ‑ can't talk (I stand with them during the few minutes the students have to fill out this paper).

 

Group III ‑ the rest of the class ‑ can talk.

 

            Usually I pay $1.00 to someone in Group I (which they split), about 50 cents to someone in Group II and 2 cents to someone in Group III, showing that collusion pays off (I vs. II), but that collusion in a large group is difficult (I vs. III).

Economics and Extortion

Gary Galles, Pepperdine University

I have used an extortion example in class which helps students to understand sunk costs, post‑contractual cheating (or appropriable quasi‑rents), and how one can be induced to overpay for something.

            Extortion or kidnapping cases involve some sort of payment for silence about some "secret" or for return of the kidnapped. The problem with paying extortion or blackmail is that once a payment is made, that cost is sunk and the payer is still in the position of being held up (again) for a marginal ransom payment just less than the value of what is being ransomed. Furthermore, by revealing that he is willing to pay at least what was previously demanded, the payer may induce the extortionist to ask for more each time his demands are met (without this, we wouldn't see any crime dramas about extortion on TV). In this way, paying extortion not only doesn't improve your position, but it can make it worse and actually lead to payments in excess of the total value of the item taken (incidentally, this is a true case of throwing (away) good money after bad (already thrown away), but sometimes throwing good money (profitably) after bad (unprofitably spent) is rational. An example would be a factory that cost $10 million more than the present value of its net revenue stream, but which needs $1 million worth of repairs to stay open: as long as the present value of the remaining net revenue stream exceeds $1 million, it is economic to throw good money after bad).

            The only time payment of extortion should be made is when the ransomed item can reasonably be expected to be recaptured (e.g., never for photographs or other reproducible items, for which no assurance that "this is the only set of negatives" can be had) or the extortionist caught in a trap (this is why the extortionist holds out the hope of providing an exchange, while not intending to let it happen, and why payments so often involve a trap).

Another thing to note is that successful trades involving kidnapped people or things are almost always simultaneous (also often true for drug transactions) rather than sequential. The reason is post‑ contractual cheating. Once we agree to trade, if the extortionist gets the money first, he will be tempted to renege on his end of the bargain; similarly, if the payer gets back the hostage first, he will renege. This is not a major problem in most of the business world, because the negative impact of a bad reputation on future sales gives them a profit incentive not to engage in such behavior, but it may be where repeat sales are unlikely and information may be slow to get out (e.g., buying something from Midnight Auto Sales, out of somebody's trunk).

Grade Collusion in the Classroom

Richard C. Schiming, Mankato State University

Students sometimes find it difficult to imagine the problems of a small group of firms acting in collusion. While the profit maximizing possibilities are obvious, the forces tending to disrupt collusive activities are not. To demonstrate these disruptive forces, I discuss an example common to all students. When students receive a take‑home examination, students together usually decide on a limit to the time to be devoted to the test. The hope is that such a limit will prevent the problems of uncertainty and excess competition. But, this form of collusion quickly disintegrates as each student believes others will violate the agreement and thus, each student decides to violate this agreement to protect his or her grade. Only if the class size is small and enforcement costs are low can such an agreement ever hold together. The students then see how cartels, in spite of the potential for gain, can be short‑lived.

Collusion and the Creation of an Exam

Carl E. Enomoto, New Mexico State University

The prisoners' dilemma has always been one of the more fascinating topics in microeconomics. It is usually demonstrated with a profits‑payoff table for two firms or for two criminal suspects. One way to show how this theory works is to conduct the following experiment. For your first class exam, have each student submit one question covering any of the course material you have already gone over. Tell the class that you will select a small sample of these questions for the test. You will probably find that many of these questions are extremely difficult and you would not have asked such questions if you had made up the exam. For the second exam, let the student discuss among themselves the questions they will submit for the exam (leave the classroom when they do this). When you select questions from the list this time, you will find that the questions are usually easier to answer and concentrate less on the fine details of the course. By keeping both lists of questions submitted by the students and then returning them to the students later on, the class will see how beneficial collusion can be. One variation to this occurs if you have a particularly large class. In this case, the students cannot easily collude and usually a few students will come up with difficult questions that only they can answer. This will still allow you, however, to talk about game theory and strategy in microeconomics.

Illustrating Collusion

Steven W. Jones, Phillips County Community College

After explaining the concept of collusion and citing examples such as the OPEC cartel, ask for volunteers to help you illustrate some elements of successful collusion through a simple experiment.

            Select five students for the experiment. Group four of them into two pairs and send them out of the room. Have the fifth student go to the board and turn his back to the class. Show the class a picture composed of several simple geometric designs. (An example is shown in Figure 26‑5.) Then ask the student to draw this diagram. The response is obvious‑‑he can't recreate the design because he has never seen it and doesn't have the specific information needed to reproduce the drawing. Without collusion, he lacks vital information of which his classmates are aware.

            Invite Pair A inside and instruct them to go to the board. One member faces the board, the other faces the class. They have their backs to each other and neither may turn around. Show the student facing the class the same drawing. Instruct the student that his task is to get his companion to reproduce the drawing. The student seeing the picture can talk to his partner but cannot monitor his partner's progress. Time the process. Record the time to complete the task. This represents imperfect information about industry operations ‑ but is better than no information at all.

Finally, have Pair B enter and go to the board. One member is assigned the responsibility of reproducing the drawing; the other is actually shown the drawing. However, this pair may work together in any manner necessary to achieve their objective but only the student who did not see the picture can actually draw the designs. Time the process. Two way communication will develop, and the time to complete the process will be considerably less due to a more effective exchange of information.

Figure 26‑3

Student Collusion

Henry G. Demmert, Santa Clara University

My idea is an effective method of illustrating the inherent instability of a cartel (or of collusion in general).

            I present the class with a reading assignment which, I emphasize, they will be responsible for on the next exam. I then ask them to imagine what would happen if they all got together and agreed not to read the assigned material. I point out that, because I grade on a curve, their grades would not be affected and they would all have more time to party, study for other exams, etc. In other words, there are potential collective benefits to be gained by all members of this hypothetical "student cartel." I then ask them what their best personal strategy would be, given that all of their classmates have agreed not to do the assigned reading. It is immediately obvious to them that they would clearly gain by cheating on their fellow cartel members: Their classmates' failure to read the assigned material would result in a lower grading curve, and they can take advantage of the lower overall curve to increase their own grade by doing the assigned reading. In fact, I note, their payoff from doing the reading is even greater in the cartel environment than under normal circumstances. Finally, I ask them if they would have enough faith in one another's "integrity" to abide by their agreement. Most concede that they would find it almost impossible not to take a peek at the assigned reading as the exam draws near.

            I then draw a parallel between the incentives at work in this case and those at work in an economic cartel whose members agree to fix prices and restrict output.

Cartels and the Incentive to Cheat

Daniel R. Marburger, Arkansas State University

To illustrate how cartels may break down because of incentives for members to cheat, I use the following analogy.  Suppose that on the first day of class, the instructor announces that his course will consist of four multiple choice exams.  Further, he intents to curve the scores on each of the exams (i.e., the average score on each exam is a 'C').

            Several days later, an enterprising young student (whom we will call Joe) devises a way to beat the system.  If all of the students agree not to take the exams, then everyone's score will be zero, which means that everyone will earn a 'C' according to the instructor's grading system.  Of course, if no one takes the exam, there is no reason to study, purchase the text, or attend class.  All one need do is enroll.  Assuming that the promise of something for nothing is inherently appealing, the class agrees to form those non-exam taking cartel.

            For the first two exams, the cartel, works like a charm.  No one shows up for the exams, and all students receive a 'C'.  Prior to the third exam, however, Joe, no longer satisfied with a free 'C', invents a means of beating his own system.  Joe decides to show up at the exam and randomly guess the answers.  Since the instructor gives multiple choice exams, the law of averages suggests that Joe will earn a score of roughly 20%.  Since the rest of the cartel members do not take the exams, a score of 20% should be at the top of the class.  In other words, whereas the remainder of the class earns 'Cs' for nothing, Joe will earn an 'A' with an equal lack of effort.  And since none of the other cartel members will be in the classroom during the exam, there is no way for him to get caught.

            Soon, the exam date arrives.  With a rather cocky air about him, Joe strolls into the classroom--only to find 10 other students already taking the exam.  As he scans the room, two questions cross his mind: 1) Have these people been here for the previous exams?  After all, Joe didn't show up for the first two exams. 2) Did they study?  If these people know the answers while Joe randomly guesses, he's going to fail the exam!

            It doesn't take a genius to figure out what happens for the fourth exam.  All of the students show up for the exam, and all of them study.  When the final curve is announced, Joe, who organized the cartel in an attempt to get something for nothing, earns a 'D' for the course; a 'D' that he worked to earn.

Dollar Bills and Cartel Stability

Mark Mitchell, Clemson University

An experiment that illustrates the difficulty of maintaining a stable cartel is to cut a dollar bill into quarters and distribute them to four willing students. The experiment is more interesting if you use a larger bill. The rules are 1) each part is worthless alone, 2) the bank only requires three parts in return for a crisp clean undamaged bill (you are the bank), and 3) communication among the students is encouraged at all times. Two options are readily available. All four may go to the bank together and receive twenty‑five cents each or three students could form a cartel and split the money three ways instead of four. If the students choose the first option, remind them that forming a cartel of any three will increase their wealth. Once a cartel forms, (whether spontaneously or by your prodding) and begins to exchange with you, remind the excluded student that the value of her part falls to zero once the exchange is made. Unless she begins trying to break the cartel on her own initiative, suggest going to two cartel members with an offer to make them better off than their current arrangement. For example, she could agree to accept only twenty cents, leaving forty cents each to her two co‑conspirators. All three parties will be better off, so a new cartel is formed. Naturally, while the new cartel is on the way to the bank, the entire scenario is repeated. The ejected member, finding the value of his part threatened, will bargain with two current cartel members and a new cartel will form. Students eventually realize that bargaining could continue forever, so the likely final solution is that all four students go to the bank. Competition prevails, and the stability of the cartel has been proved unsustainable.

Why Cartel Members "Cheat"