Oligopoly
An oligopoly (ολιγοπώλιο) (from Greek ὀλίγοι πωλητές (few sellers)) is a market form wherein a market or industry is dominated by a small number of large sellers (oligopolists). Oligopolies can result from various forms of collusion which reduce competition and lead to higher prices for consumers. Oligopolies have their own market structure.[1]
With few sellers, each oligopolist is likely to be aware of the actions of the others. According to game theory, the decisions of one firm therefore influence and are influenced by decisions of other firms. Strategic planning by oligopolists needs to take into account the likely responses of the other market. Entry barriers include high investment requirements, strong consumer loyalty for existing brands and economies of scale. In developed economies oligopolies dominate the economy as the perfectly competitive model is of negligible importance for consumers. Oligopolies differ from price takers in that they do not have a supply curve. Instead, they search for the best price-output combination.[2]
Contents
Description[edit]
Oligopoly is a common market form where a number of firms are in competition. As a quantitative description of oligopoly, the four-firm concentration ratio is often utilized. This measure expresses, as a percentage, the market share of the four largest firms in any particular industry. For example, as of fourth quarter 2008, if we combine total market share of Verizon Wireless, AT&T, Sprint, and T-Mobile, we see that these firms, together, control 97% of the U.S. cellular telephone market.[citation needed]
Oligopolistic competition can give rise to both wide-ranging and diverse outcomes. In some situations, particular companies may employ restrictive trade practices (collusion, market sharing etc.) in order to inflate prices and restrict production in much the same way that a monopoly does. Whenever there is a formal agreement for such collusion, between companies that usually compete with one another, this practice is known as a cartel. A prime example of such a cartel is OPEC, which has a profound influence on the international price of oil.
Firms often collude in an attempt to stabilize unstable markets, so as to reduce the risks inherent in these markets for investment and product development.[citation needed] There are legal restrictions on such collusion in most countries. There does not have to be a formal agreement for collusion to take place (although for the act to be illegal there must be actual communication between companies)–for example, in some industries there may be an acknowledged market leader which informally sets prices to which other producers respond, known as price leadership.
In other situations, competition between sellers in an oligopoly can be fierce, with relatively low prices and high production. This could lead to an efficient outcome approaching perfect competition. The competition in an oligopoly can be greater when there are more firms in an industry than if, for example, the firms were only regionally based and did not compete directly with each other.
Thus the welfare analysis of oligopolies is sensitive to the parameter values used to define the market's structure. In particular, the level of dead weight loss is hard to measure. The study of product differentiation indicates that oligopolies might also create excessive levels of differentiation in order to stifle competition.[citation needed]
Oligopoly theory makes heavy use of game theory to model the behavior of oligopolies:
- Stackelberg's duopoly. In this model, the firms move sequentially (see Stackelberg competition).
- Cournot's duopoly. In this model, the firms simultaneously choose quantities (see Cournot competition).
- Bertrand's oligopoly. In this model, the firms simultaneously choose prices (see Bertrand competition).
Characteristics[edit]
- Profit maximization conditions
- An oligopoly maximizes profits.
- Ability to set price
- Oligopolies are price setters rather than price takers.[3]
- Entry and exit
- Barriers to entry are high.[4] The most important barriers are government licenses, economies of scale, patents, access to expensive and complex technology, and strategic actions by incumbent firms designed to discourage or destroy nascent firms. Additional sources of barriers to entry often result from government regulation favoring existing firms making it difficult for new firms to enter the market.[5]
- Number of firms
- "Few" – a "handful" of sellers.[4] There are so few firms that the actions of one firm can influence the actions of the other firms.[6]
- Long run profits
- Oligopolies can retain long run abnormal profits. High barriers of entry prevent sideline firms from entering market to capture excess profits.
- Product differentiation
- Product may be homogeneous (steel) or differentiated (automobiles).[5]
- Perfect knowledge
- Assumptions about perfect knowledge vary but the knowledge of various economic factors can be generally described as selective. Oligopolies have perfect knowledge of their own cost and demand functions but their inter-firm information may be incomplete. Buyers have only imperfect knowledge as to price,[4] cost and product quality.
- Interdependence
- The distinctive feature of an oligopoly is interdependence.[7] Oligopolies are typically composed of a few large firms. Each firm is so large that its actions affect market conditions. Therefore, the competing firms will be aware of a firm's market actions and will respond appropriately. This means that in contemplating a market action, a firm must take into consideration the possible reactions of all competing firms and the firms' countermoves.[8] It is very much like a game of chess, in which a player must anticipate a whole sequence of moves and countermoves in order to determine how to achieve his or her objectives; this is known as game theory. For example, an oligopoly considering a price reduction may wish to estimate the likelihood that competing firms would also lower their prices and possibly trigger a ruinous price war. Or if the firm is considering a price increase, it may want to know whether other firms will also increase prices or hold existing prices constant. This anticipation leads to price rigidity, as firms will only be willing to adjust their prices and quantity of output in accordance with a "price leader" in the market. This high degree of interdependence and need to be aware of what other firms are doing or might do stands in contrast with the lack of interdependence in other market structures. In a perfectly competitive (PC) market there is zero interdependence because no firm is large enough to affect market price. All firms in a PC market are price takers, as current market selling price can be followed predictably to maximize short-term profits. In a monopoly, there are no competitors to be concerned about. In a monopolistically-competitive market, each firm's effects on market conditions is so negligible as to be safely ignored by competitors.
- Non-Price Competition
- Oligopolies tend to compete on terms other than price. Loyalty schemes, advertisement, and product differentiation are all examples of non-price competition.
Oligopolies in countries with competition laws[edit]
Oligopolies become "mature" when they realise they can profit maximise through joint profit maximising. As a result of operating in countries with enforced competition laws, the Oligopolists will operate under tacit collusion, which is collusion through an understanding that if all the competitors in the market raise their prices, then collectively all the competitors can achieve economic profits close to a monopolist, without evidence of breaching government market regulations. Hence, the kinked demand curve for a joint profit maximising Oligopoly industry can model the behaviours of oligopolists pricing decisions other than that of the price leader (the price leader being the firm that all other firms follow in terms of pricing decisions). This is because if a firm unilaterally raises the prices of their good/service, and other competitors do not follow then, the firm that raised their price will then lose a significant market as they face the elastic upper segment of the demand curve. As the joint profit maximising achieves greater economic profits for all the firms, there is an incentive for an individual firm to "cheat" by expanding output to gain greater market share and profit. In Oligopolist cheating, and the incumbent firm discovering this breach in collusion, the other firms in the market will retaliate by matching or dropping prices lower than the original drop. Hence, the market share that the firm that dropped the price gained, will have that gain minimised or eliminated. This is why on the kinked demand curve model the lower segment of the demand curve is inelastic. As a result, price rigidity prevails in such markets.
Modeling[edit]
There is no single model describing the operation of an oligopolistic market.[8] The variety and complexity of the models exist because you can have two to 10 firms competing on the basis of price, quantity, technological innovations, marketing, and reputation. However, there are a series of simplified models that attempt to describe market behavior by considering certain circumstances. Some of the better-known models are the dominant firm model, the Cournot–Nash model, the Bertrand model and the kinked demand model.
Cournot–Nash model[edit]
The Cournot–Nash model is the simplest oligopoly model. The model assumes that there are two "equally positioned firms"; the firms compete on the basis of quantity rather than price and each firm makes an "output of decision assuming that the other firm's behavior is fixed."[9] The market demand curve is assumed to be linear and marginal costs are constant. To find the Cournot–Nash equilibrium one determines how each firm reacts to a change in the output of the other firm. The path to equilibrium is a series of actions and reactions. The pattern continues until a point is reached where neither firm desires "to change what it is doing, given how it believes the other firm will react to any change."[10] The equilibrium is the intersection of the two firm's reaction functions. The reaction function shows how one firm reacts to the quantity choice of the other firm.[11] For example, assume that the firm 1's demand function is P = (M − Q2) − Q1 where Q2 is the quantity produced by the other firm and Q1 is the amount produced by firm 1,[12] and M=60 is the market. Assume that marginal cost is CM=12. Firm 1 wants to know its maximizing quantity and price. Firm 1 begins the process by following the profit maximization rule of equating marginal revenue to marginal costs. Firm 1's total revenue function is RT = Q1 P = Q1(M − Q2 − Q1) = MQ1 − Q1 Q2 − Q12. The marginal revenue function is .[note 1]
- RM = CM
- M − Q2 − 2Q1 = CM
- 2Q1 = (M − CM) − Q2
- Q1 = (M − CM)/2 − Q2/2 = 24 − 0.5 Q2 [1.1]
- Q2 = 2(M − CM) − 2Q1 = 96 − 2 Q1 [1.2]
Equation 1.1 is the reaction function for firm 1. Equation 1.2 is the reaction function for firm 2.
To determine the Cournot–Nash equilibrium you can solve the equations simultaneously. The equilibrium quantities can also be determined graphically. The equilibrium solution would be at the intersection of the two reaction functions. Note that if you graph the functions the axes represent quantities.[13] The reaction functions are not necessarily symmetric.[14] The firms may face differing cost functions in which case the reaction functions would not be identical nor would the equilibrium quantities.
Bertrand model[edit]
The Bertrand model is essentially the Cournot–Nash model except the strategic variable is price rather than quantity.[15]
The model assumptions are:
- There are two firms in the market
- They produce a homogeneous product
- They produce at a constant marginal cost
- Firms choose prices PA and PB simultaneously
- Firms outputs are perfect substitutes
- Sales are split evenly if PA = PB[16]
The only Nash equilibrium is PA = PB = MC.
Neither firm has any reason to change strategy. If the firm raises prices it will lose all its customers. If the firm lowers price P < MC then it will be losing money on every unit sold.[17]
The Bertrand equilibrium is the same as the competitive result.[18] Each firm will produce where P = marginal costs and there will be zero profits.[15] A generalization of the Bertrand model is the Bertrand–Edgeworth model that allows for capacity constraints and more general cost functions.
Oligopolistic market: Kinked demand curve model[edit]
According to this model, each firm faces a demand curve kinked at the existing price.[19] The conjectural assumptions of the model are; if the firm raises its price above the current existing price, competitors will not follow and the acting firm will lose market share and second if a firm lowers prices below the existing price then their competitors will follow to retain their market share and the firm's output will increase only marginally.[20]
If the assumptions hold then:
- The firm's marginal revenue curve is discontinuous (or rather, not differentiable), and has a gap at the kink[19]
- For prices above the prevailing price the curve is relatively elastic[21]
- For prices below the point the curve is relatively inelastic[21]
The gap in the marginal revenue curve means that marginal costs can fluctuate without changing equilibrium price and quantity.[19] Thus prices tend to be rigid.
Examples[edit]
In industrialized economies, barriers to entry have resulted in oligopolies forming in many sectors, with unprecedented levels of competition fueled by increasing globalization. Market shares in an oligopoly are typically determined by product development and advertising. For example, there are now only a small number of manufacturers of civil passenger aircraft, though Brazil (Embraer) and Canada (Bombardier) have participated in the small passenger aircraft market sector. Oligopolies have also arisen in heavily-regulated markets such as wireless communications: in some areas only two or three providers are licensed to operate.
World wide[edit]
Aircraft[edit]
- Boeing and Airbus have a duopoly over the airliner market.[22]
- General Electric, Pratt and Whitney and Rolls-Royce plc own more than 50% of the marketshare in the airliner engine market.[citation needed]
- Aircraft tires is dominated by a four-firm oligopoly that controls 85% of market share, these firms are Goodyear, Michelin, Dunlop, and Bridgestone.[23]
Finance[edit]
- Three credit rating agencies (Standard & Poor's, Moody's, and Fitch Group) dominate their market and extend their crucial importance into the financial sector. See Big Three (credit rating agencies).
- The accountancy market is dominated by PriceWaterhouseCoopers, KPMG, Deloitte Touche Tohmatsu, and Ernst & Young (commonly known as the Big Four)[24]
- Credit card processing is dominated by Visa and Mastercard.[25]
Food[edit]
- Three leading food processing companies, Kraft Foods, PepsiCo and Nestlé, together achieve a large proportion[vague] of global processed food sales. These three companies are often used as an example of "Rule of three",[26] which states that markets often become an oligopoly of three large firms.
- Nestlé, The Hershey Company and Mars, Incorporated together make most of the confectionery made worldwide.
Technology[edit]
- Intel and AMD are the only two major players in desktop CPU market worldwide.
- Microsoft, Sony, Valve, and Nintendo dominate the video game platform market.
- Nvidia and AMD together make most of the chips for discrete graphics.
- Apple and Microsoft’s desktop operating systems run on the majority of the worlds PC’s.
- Apple and Google’s mobile operating systems run on the majority of the worlds smartphones.
Australia[edit]
- Most print and online media outlets are owned either by News Corporation or by Fairfax Media[27]
- 60 per cent of grocery revenue goes to Coles Group and Woolworths.[28]
- Banking is dominated by ANZ, Westpac, NAB, and Commonwealth Bank. To an extent this oligopoly is enshrined in law in what is known as the "Four pillars policy", in order to ensure the stability of Australia's banking system.
- Fixed line telecommunications products in Australia are primarily delivered by Telstra, Optus, TPG or increasingly NBN Co. Other brands are virtual network operators (VNO). In the mobile market there are three main operators, Telstra, Optus and Vodafone Hutchison Australia with other mobile virtual network operators (MVNO) selling access to those three networks.
Canada[edit]
Media[edit]
- Torstar and Postmedia Network dominate the newspaper industry
- Bell Media, Rogers Media, and Corus Entertainment dominate English-language television broadcasting
- Bell Media Radio, Newcap Radio, Rogers Media, and Corus Entertainment dominate the English-language radio industry
- Loblaw Companies, Metro Inc., and Sobeys control the majority of the supermarket industry
Other[edit]
- Five companies dominate the banking industry: Royal Bank of Canada, Toronto Dominion Bank, Bank of Nova Scotia, Bank of Montreal, and Canadian Imperial Bank of Commerce
- As of 2008[update] Rogers Wireless, Bell Mobility and Telus Mobility control a combined 94% of Canada's wireless telecommunications market [29][30]
- Rogers Communications, Bell Canada, Telus, and Shaw Communications dominate the internet service provider market:
- Husky Energy, Imperial Oil, Nexen, Shell Canada, Suncor Energy, Syncrude, Canadian Natural Resources and Repsol Oil & Gas Canada dominate the oil and gas sector
- Air Canada and Westjet dominate the domestic airline market
India[edit]
- The petroleum and gas industry is dominated by Indian Oil, Bharat Petroleum, Hindustan Petroleum, and Reliance Petroleum.
- The telecommunication industry is dominated by Vodafone, Jio, and Airtel. [31]
European Union[edit]
- The VHF Data Link market as air-ground part of aeronautical communications is controlled by ARINC and SITA, commonly known as the organisations providing communication services for the exchange of data between air-ground applications in the Commission Regulation (EC) No 29/2009.
United Kingdom[edit]
- Five banks (Barclays, Halifax, HSBC, Lloyds TSB and NatWest) dominate the UK banking sector, in 2011 newcomer newcomer Virgin Money accused them of being an oligopoly.[32]
- Four companies (Tesco, Sainsbury's, Asda and Morrisons) share 74.4% of the grocery market.[33]
- The detergent market is dominated by two players, Unilever and Procter & Gamble.[34]
- Six utilities (EDF Energy, Centrica, RWE npower, E.on, Scottish Power and Scottish and Southern Energy) share 95% of the retail electricity market.[35]
- Four mobile phone networks. Virtual mobile networks like Tesco Mobile have attempted to broaden the market, but there are still just four core network providers in EE, Vodafone, O2 and 3 Mobile.
- Big Four Accounting Firms- (KPMG, PWC, Ernst and Young and Deloitte) These four firms audit 99% of the companies in the FTSE100 and 96% of the companies in the FTSE 250 Index.
United States[edit]
Media[edit]
- Five movie studios (Walt Disney Pictures, Sony Pictures, Universal Pictures, Paramount Pictures, Warner Bros. Entertainment) receive almost 87% of American film revenues.[36]
- The television and high speed internet industry is mostly an oligopoly of seven companies: The Walt Disney Company, CBS Corporation, Viacom, Comcast, Hearst Corporation, Time Warner, and News Corporation (now 21st Century Fox and News Corp).[37] See Concentration of media ownership.
- In March 2012, the United States Department of Justice announced that it would sue six major publishers for price fixing in the sale of electronic books. The accused publishers are Apple, Simon & Schuster Inc, Hachette Book Group, Penguin Group, Macmillan, and HarperCollins Publishers.[38][39][40]
Other[edit]
- Four wireless providers (AT&T Mobility, Verizon Wireless, T-Mobile, Sprint Corporation) control 89% of the cellular telephone service market.[41] This is not to be confused with cellular telephone manufacturing, an integral portion of the cellular telephone market as a whole.
- Healthcare insurance in the United States consists of very few insurance companies controlling major market share in most states. For example, California's insured population of 20 million is the most competitive[vague] in the nation and 44% of that market is dominated by two insurance companies, Anthem and Kaiser Permanente.[42]
- Mergers among airlines have left the industry in the United States dominated by four main entities – Delta Air Lines, United Airlines, Southwest Airlines and American Airlines – which purposely do not compete on some air travel routes.[43]
- Transcontinental freight lines are vastly controlled by two railroads: Union Pacific Railroad and BNSF Railroad.
- The big box retail industry in the U.S. is dominated by Walmart, Target, and Costco.[44]
- Walgreens and CVS Pharmacy take up 86% of the U.S. pharmacy market.[45]
- Mutual fund investing in the United States has been described as an oligopoly as of 2018-2019. The Vanguard Group, BlackRock and State Street Global Advisors control over 80% of index fund investing,[46] while mutual funds generally are dominated by The Vanguard Group, Fidelity Investments, American Funds and BlackRock together controlling over 75% of the market.[47]
Demand curve[edit]
In an oligopoly, firms operate under imperfect competition. With the fierce price competitiveness created by this sticky-upward demand curve, firms use non-price competition in order to accrue greater revenue and market share.
"Kinked" demand curves are similar to traditional demand curves, as they are downward-sloping. They are distinguished by a hypothesized convex bend with a discontinuity at the bend–"kink". Thus the first derivative at that point is undefined and leads to a jump discontinuity in the marginal revenue curve.
Classical economic theory assumes that a profit-maximizing producer with some market power (either due to oligopoly or monopolistic competition) will set marginal costs equal to marginal revenue. This idea can be envisioned graphically by the intersection of an upward-sloping marginal cost curve and a downward-sloping marginal revenue curve (because the more one sells, the lower the price must be, so the less a producer earns per unit). In classical theory, any change in the marginal cost structure (how much it costs to make each additional unit) or the marginal revenue structure (how much people will pay for each additional unit) will be immediately reflected in a new price and/or quantity sold of the item. This result does not occur if a "kink" exists. Because of this jump discontinuity in the marginal revenue curve, marginal costs could change without necessarily changing the price or quantity.
The motivation behind this kink is the idea that in an oligopolistic or monopolistically competitive market, firms will not raise their prices because even a small price increase will lose many customers. This is because competitors will generally ignore price increases, with the hope of gaining a larger market share as a result of now having comparatively lower prices. However, even a large price decrease will gain only a few customers because such an action will begin a price war with other firms. The curve is therefore more price-elastic for price increases and less so for price decreases. Theory predicts that firms will enter the industry in the long run.
See also[edit]
Notes[edit]
- ^ RM = M − Q2 − 2Q1. can be restated as RM = (M − Q2) − 2Q1.
Further reading[edit]
- Bayer, R. C. (2010). Intertemporal price discrimination and competition. Journal of economic behavior & organization, 73(2), 273–293.
References[edit]
- ^ "Competition Counts". 11 June 2013. Retrieved 23 March 2018.
- ^ Foundations of Real-World Economics. page 103. Routledge 2019.
- ^ Perloff, J. Microeconomics Theory & Applications with Calculus. page 445. Pearson 2008.
- ^ a b c Hirschey, M. Managerial Economics. Rev. Ed, page 451. Dryden 2000.
- ^ a b Negbennebor, A: Microeconomics, The Freedom to Choose CAT 2001[page needed]
- ^ Negbennebor, A: Microeconomics, The Freedom to Choose page 291. CAT 2001
- ^ Melvin & Boyes, Microeconomics 5th ed. page 267. Houghton Mifflin 2002
- ^ a b Colander, David C. Microeconomics 7th ed. Page 288 McGraw-Hill 2008.
- ^ This statement is the Cournot conjectures. Kreps, D.: A Course in Microeconomic Theory page 326. Princeton 1990.
- ^ Kreps, D. A Course in Microeconomic Theory. page 326. Princeton 1990.
- ^ Kreps, D. A Course in Microeconomic Theory. Princeton 1990.[page needed]
- ^ Samuelson, W & Marks, S. Managerial Economics. 4th ed. Wiley 2003[page needed]
- ^ Pindyck, R & Rubinfeld, D: Microeconomics 5th ed. Prentice-Hall 2001[page needed]
- ^ Pindyck, R & Rubinfeld, D: Microeconomics 5th ed. Prentice-Hall 2001
- ^ a b Samuelson, W. & Marks, S. Managerial Economics. 4th ed. page 415 Wiley 2003.
- ^ There is nothing to guarantee an even split. Kreps, D.: A Course in Microeconomic Theory page 331. Princeton 1990.
- ^ This assumes that there are no capacity restriction. Binger, B & Hoffman, E, 284–85. Microeconomics with Calculus, 2nd ed. Addison-Wesley, 1998.
- ^ Pindyck, R & Rubinfeld, D: Microeconomics 5th ed.page 438 Prentice-Hall 2001.
- ^ a b c Pindyck, R. & Rubinfeld, D. Microeconomics 5th ed. page 446. Prentice-Hall 2001.
- ^ Simply stated the rule is that competitors will ignore price increases and follow price decreases. Negbennebor, A: Microeconomics, The Freedom to Choose page 299. CAT 2001
- ^ a b Negbennebor, A. Microeconomics: The Freedom to Choose. page 299. CAT 2001
- ^ Airlines Industry Profile: United States, Datamonitor, November 2008, pp. 13–14
- ^ "Manufacturers work on perfecting aircraft tires". Rubber News. 9 May 2013.
- ^ Accountancy Industry Profile: Global, Datamonitor, September 2008[page needed]
- ^ "Subscribe to read". Financial Times. Retrieved 23 March 2018.
- ^ SHETH Jagdish, SISODIA Rajendra, The Rule of Three, New York: Boston Publishing.[page needed]
- ^ Fisher, Caroline; Watkins, Jerry. "Australia - Reuters Institute Digital News Report". Reuters Institute. Reuters Institute. Retrieved 1 August 2018.
- ^ "Woolworths increases lead in $100b+ grocery war". Roy Morgan. Roy Morgan. Retrieved 1 August 2018.
- ^ http://cwta.ca/CWTASite/english/facts_figures_downloads/SubscribersStats_en_2008_Q4.pdf
- ^ http://www.crtc.gc.ca/eng/publications/reports/policymonitoring/2008/cmr2008.pdf
- ^ https://www.indiatoday.in/technology/news/story/jio-second-largest-telecom-operator-in-india-leads-overall-broadband-sector-by-55-percent-market-share-1571504-2019-07-20
- ^ Big banks running an oligopoly, says Virgin Money chief, January 2011
- ^ Probe says 'too few supermarkets', BBC News, 31 October 2007, retrieved 3 April 2009
- ^ Textile Washing Products Industry Profile: United Kingdom, Datamonitor, November 2008[page needed]
- ^ 'Big six' energy firms face competition inquiry, BBC News, 27 March 2014
- ^ "2013 Market Share and Box Office Results by Movie Studio". boxofficemojo.com.
- ^ Rodman, George. Mass Media in a Changing World. New York (2nd ed.), McGraw Hill, 2008[page needed]
- ^ Bartz, Diane (8 March 2012). "Justice Department may sue Apple, publishers on e-books". Reuters. Retrieved 14 March 2012.
- ^ Tim Worstall (8 March 2012). "Now the Justice Department Wants to Sue Apple". Forbes. Retrieved 14 March 2012.
- ^ Thomas Catan; Jeffrey A. Trachtenberg (9 March 2012). "US Warns Apple, Publishers". Wall Street Journal. Retrieved 14 March 2012.
- ^ Chetan Sharma. "Us Wireless Market Q4 2008 And 2008 Update Mar 2009 Chetan Sharma…". slideshare.net.
- ^ Contributor, Julie Roginsky, CNBC (18 September 2009). "Roginsky: The Health Insurance Oligopoly". Retrieved 23 March 2018.
- ^ Sorkin, Andrew Ross. "As Oil Prices Fall, Airfares Still Stay High". NYTimes.com. New York Times. Retrieved 24 March 2015.
- ^ Moskowitz, Dan (19 May 2015). "Costco, Target or Walmart: Which is the Best Bet?". Retrieved 23 March 2018.
- ^ "CVS and Walgreens: A Duopoly That's Hard to Ignore". Retrieved 23 March 2018.
- ^ Christine Benz (17 October 2018) Index Fund Oligopoly Has Been Good for Consumers, accessed 23 November 2019
- ^ Andrea Riqueor (23 November 2019). This chart shows how Vanguard’s explosive growth has ‘taken on a life of its own’ Marketwatch.com, accessed 23 November 2019.
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