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A duopoly (from Greek δύο, ''duo'' "two" and πωλεῖν, ''polein'' "to sell") is a type of
oligopoly An oligopoly (from Greek ὀλίγος, ''oligos'' "few" and πωλεῖν, ''polein'' "to sell") is a market structure in which a market or industry is dominated by a small number of large sellers or producers. Oligopolies often result f ...
where two firms have dominant or exclusive control over a market. It is the most commonly studied form of oligopoly due to its simplicity. Duopolies sell to consumers in a competitive market where the choice of an individual consumer can not affect the firm. The defining characteristic of both duopolies and oligopolies is that decisions made by sellers are dependent on each other.


Duopoly models in economics and game theory

There are two principal duopoly models,
Cournot duopoly Cournot competition is an economic model used to describe an industry structure in which companies compete on the amount of output they will produce, which they decide on independently of each other and at the same time. It is named after Antoine Au ...
and Bertrand duopoly: * The Cournot model, which shows that two firms assume each other's output and treat this as a fixed amount, and produce in their own firm according to this. * Cournot Model in Game Theory In 1838, Antoine A. Cournot published a book titled "Researches Into the Mathematical Principles of the Theory of Wealth" in which he introduced and developed this model for the first time. As an imperfect competition model, Cournot duopoly (also known as Cournot competition), in which two firms with identical cost functions compete with homogenous products in a static context, is also known as Cournot competition. In this model, three companies, each of which chooses its own quantity of output, compete against each other while facing constant marginal and average costs. The market price is determined by the sum of the output of two companies. P(Q)=a-bQ is the equation for the market demand function. Cournot's duopoly marked the beginning of the study of oligopolies, and specifically duopolies, as well as the expansion of the research of market structures, which had previously focussed on the extremes of perfect competition and monopoly. The general process for obtaining a Nash equilibrium of a game using the best response functions is followed in order to discover a Nash equilibrium of Cournot's model for a specific cost function and demand function. *The
Bertrand Bertrand may refer to: Places * Bertrand, Missouri, US * Bertrand, Nebraska, US * Bertrand, New Brunswick, Canada * Bertrand Township, Michigan, US * Bertrand, Michigan * Bertrand, Virginia, US * Bertrand Creek, state of Washington * Saint-Ber ...
model, in which, in a
game A game is a structured form of play, usually undertaken for entertainment or fun, and sometimes used as an educational tool. Many games are also considered to be work (such as professional players of spectator sports or games) or art (suc ...
of two firms, each one of them will assume that the other will not change prices in response to its price cuts. When both firms use this logic, they will reach a
Nash equilibrium In game theory, the Nash equilibrium, named after the mathematician John Nash, is the most common way to define the solution of a non-cooperative game involving two or more players. In a Nash equilibrium, each player is assumed to know the equili ...
*Bertrand Model in Game Theory The Bertrand Competition was developed by French mathematician called Joseph Louis François Bertrand after investigating the claims of the Cournot model in “Researches into the mathematical principles of the theory of wealth, 1938”. According to the Cournot model, firms in a duopoly would be able to keep prices above marginal cost and hence be extremely profitable. Bertrand took issue with this. In this market structure, each firm could only choose whole amounts and each firm receives zero payoff when the aggregate demand exceeds the size of amount that they share with each other. The market demand function is Q(P)=a-bP


Characteristics of duopoly

# Existence of only two sellers # Interdependence: if any firm makes the change in the price or promotional scheme, other firms also have to comply with it, to remain in the competition. # Presence of monopoly elements: so long as products are differentiated, the firms enjoy some monopoly power, as each product will have some loyal customers # There are two popular models of duopoly, i.e., Cournot's Model and Bertrand's Model.


Quality standards

A low-quality manufacturer benefits from a slightly stringent quality standard in the absence of sunk costs, whereas a high-quality producer suffers from it. Consumer welfare improves if the firm generating the higher quality does not considerably enhance its quality in response to its competitor's increase in quality. Exit from the industry is triggered by a sufficiently strict requirement. The high-quality producer exits first when there are no sunk costs.


Politics

Like a market, a political system can be dominated by two groups, which exclude other parties or ideologies from participation. One party or the other tends to dominate government at any given time (the Majority party), while the other has only limited power (the Minority party). According to Duverger's law, this tends to be caused by a simple winner-take-all voting system without runoffs or ranked choices. The
United States The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country Continental United States, primarily located in North America. It consists of 50 U.S. state, states, a Washington, D.C., ...
and many Latin American countries, such as
Costa Rica Costa Rica (, ; ; literally "Rich Coast"), officially the Republic of Costa Rica ( es, República de Costa Rica), is a country in the Central American region of North America, bordered by Nicaragua to the north, the Caribbean Sea to the no ...
,
Guyana Guyana ( or ), officially the Cooperative Republic of Guyana, is a country on the northern mainland of South America. Guyana is an indigenous word which means "Land of Many Waters". The capital city is Georgetown. Guyana is bordered by the ...
, and the
Dominican Republic The Dominican Republic ( ; es, República Dominicana, ) is a country located on the island of Hispaniola in the Greater Antilles archipelago of the Caribbean region. It occupies the eastern five-eighths of the island, which it shares with ...
have two-party government systems. Duopoly in Danish court politics The prime minister-finance minister duopoly is an unusual form of court politics. There have been few other countries where the prime minister and the Treasury have had such a tumultuous relationship as Australia and the United Kingdom. There have been some confrontations in the past when the Finance ministry did not have the full support of the prime minister, leading to internal ministerial battles over economic strategy. A permanent
civil service The civil service is a collective term for a sector of government composed mainly of career civil servants hired on professional merit rather than appointed or elected, whose institutional tenure typically survives transitions of political leaders ...
is a basic requirement for the duopoly system to function properly. The permanent civil service in general, and the Socialist Party in particular, are critical to the duopoly's effective operation. The conventional inter-governmental duopoly is carried by civil servants. The duopoly is confronted with some quandaries, such as tentions between different groups in the office over their relative positions. Departmental budget cuts are being made across the board. The prime ministerial-finance-ministry duopoly requires more credibility. Trust is a rare commodity among Australians and Britons. Denmark has a lot to offer. The Danish duopoly works together. Australia and the United Kingdom have competitive duopolies, and competitive duopolies are unstable.


Examples in business

A commonly cited example of a duopoly is that involving Visa and Mastercard, who between them control a large proportion of the electronic payment processing market. In 2000 they were the defendants in a
United States Department of Justice The United States Department of Justice (DOJ), also known as the Justice Department, is a federal executive department of the United States government tasked with the enforcement of federal law and administration of justice in the United Stat ...
antitrust Competition law is the field of law that promotes or seeks to maintain market competition by regulating anti-competitive conduct by companies. Competition law is implemented through public and private enforcement. It is also known as antitrust ...
lawsuit. An appeal was upheld in 2004. Examples where two companies control an overwhelming proportion of a market are: *
Airbus Airbus SE (; ; ; ) is a European multinational aerospace corporation. Airbus designs, manufactures and sells civil and military aerospace products worldwide and manufactures aircraft throughout the world. The company has three divisions: '' ...
and
Boeing The Boeing Company () is an American multinational corporation that designs, manufactures, and sells airplanes, rotorcraft, rockets, satellites, telecommunications equipment, and missiles worldwide. The company also provides leasing and ...
in the largest commercial aircraft market in the world *
Nvidia Nvidia CorporationOfficially written as NVIDIA and stylized in its logo as VIDIA with the lowercase "n" the same height as the uppercase "VIDIA"; formerly stylized as VIDIA with a large italicized lowercase "n" on products from the mid 1990s to ...
and AMD in the GPU market *
Intel Intel Corporation is an American multinational corporation and technology company headquartered in Santa Clara, California. It is the world's largest semiconductor chip manufacturer by revenue, and is one of the developers of the x86 ser ...
and AMD in the desktop
CPU A central processing unit (CPU), also called a central processor, main processor or just processor, is the electronic circuitry that executes instructions comprising a computer program. The CPU performs basic arithmetic, logic, controlling, a ...
market *
Google Google LLC () is an American Multinational corporation, multinational technology company focusing on Search Engine, search engine technology, online advertising, cloud computing, software, computer software, quantum computing, e-commerce, ar ...
's Android and Apple's iOS make up over 99% of the
mobile operating system A mobile operating system is an operating system for mobile phones, tablet computer, tablets, smartwatches, smartglasses, or other non-laptop personal computing, personal mobile computing devices. While computers such as typical laptops are "mobi ...
market * Google and
Meta Meta (from the Greek μετά, '' meta'', meaning "after" or "beyond") is a prefix meaning "more comprehensive" or "transcending". In modern nomenclature, ''meta''- can also serve as a prefix meaning self-referential, as a field of study or end ...
together make up the majority of the online advertisement market. *
The Coca-Cola Company The Coca-Cola Company is an American multinational beverage corporation founded in 1892, best known as the producer of Coca-Cola. The Coca-Cola Company also manufactures, sells, and markets other non-alcoholic beverage concentrates and syrups ...
and PepsiCo in the soft drink market, resulting in the cola wars. The two companies control nearly all of the cola beverage market. *
DC Comics DC Comics, Inc. ( doing business as DC) is an American comic book publisher and the flagship unit of DC Entertainment, a subsidiary of Warner Bros. Discovery. DC Comics is one of the largest and oldest American comic book companies, with the ...
and
Marvel Comics Marvel Comics is an American comic book publisher and the flagship property of Marvel Entertainment, a divsion of The Walt Disney Company since September 1, 2009. Evolving from Timely Comics in 1939, ''Magazine Management/Atlas Comics'' in ...
in the
American comic book An American comic book is a thin periodical originating in the United States, on average 32 pages, containing comics. While the form originated in 1933, American comic books first gained popularity after the 1938 publication of ''Action Comics'' ...
market *
Woolworths Woolworth, Woolworth's, or Woolworths may refer to: Businesses * F. W. Woolworth Company, the original US-based chain of "five and dime" (5¢ and 10¢) stores * Woolworths Group (United Kingdom), former operator of the Woolworths chain of shop ...
and Coles in the
Australia Australia, officially the Commonwealth of Australia, is a sovereign country comprising the mainland of the Australian continent, the island of Tasmania, and numerous smaller islands. With an area of , Australia is the largest country by ...
n supermarket market * Myer and David Jones in the
Australia Australia, officially the Commonwealth of Australia, is a sovereign country comprising the mainland of the Australian continent, the island of Tasmania, and numerous smaller islands. With an area of , Australia is the largest country by ...
n upmarket department store market * Husqvarna and
Stihl Stihl (, ) is a German manufacturer of chainsaws and other handheld power equipment including trimmers and blowers. Their headquarters are in Waiblingen, Baden-Württemberg, near Stuttgart, Germany. Stihl was founded in 1926 by Andreas Stihl, an ...
in the
chainsaw A chainsaw (or chain saw) is a portable gasoline-, electric-, or battery-powered saw that cuts with a set of teeth attached to a rotating chain driven along a guide bar. It is used in activities such as tree felling, limbing, bucking, pru ...
market * Doppelmayr Garaventa Group and HTI Group consisting of Poma & Leitner in the market for ropeways, transport commonly used in mountainous regions, ski resorts, cities and amusement parks. * Norfolk Southern and
CSX CSX Transportation , known colloquially as simply CSX, is a Class I freight railroad operating in the Eastern United States and the Canadian provinces of Ontario and Quebec. The railroad operates approximately 21,000 route miles () of trac ...
operate a duopoly on freight rail traffic in the Eastern United States, and Union Pacific and BNSF operate a duopoly on freight rail traffic elsewhere in the United States.


Media

In Finland, the state-owned broadcasting company
Yleisradio Yleisradio Oy ( Finnish, literally "General Radio Ltd." or "General Broadcast Ltd."; abbr. Yle ; sv, Rundradion Ab, italics=no), translated to English as the Finnish Broadcasting Company, is Finland's national public broadcasting company, found ...
and the private broadcaster Mainos-TV had a legal duopoly (in the economists' sense of the word) from the 1950s to 1993. No other broadcasters were allowed. Mainos-TV operated by leasing air time from Yleisradio, broadcasting in reserved blocks between Yleisradio's own programming on its two channels. This was a unique phenomenon in the world. Between 1986 and 1992 there was an independent third channel but it was jointly owned by Yle and M-TV; only in 1993 did M-TV get its own channel. In the United Kingdom, the BBC and ITV formed an effective duopoly (with
Channel 4 Channel 4 is a British free-to-air public broadcast television network operated by the state-owned Channel Four Television Corporation. It began its transmission on 2 November 1982 and was established to provide a fourth television service ...
originally being economically dependent on ITV) until the development of multichannel from the 1990s onwards. In Africa, mobile service providers Safaricom and Airtel in Kenya are examples of a Duopoly market in the telecommunication industry.


Broadcasting

Duopoly is also used in the United States broadcast television and radio industry to refer to a single company owning two outlets in the same city. This usage is technically incompatible with the normal definition of the word and may lead to confusion, inasmuch as there are generally more than two owners of broadcast television stations in markets with broadcast duopolies. In Canada, this definition is therefore more commonly called a " twinstick".


See also

*
Monopoly A monopoly (from Greek language, Greek el, μόνος, mónos, single, alone, label=none and el, πωλεῖν, pōleîn, to sell, label=none), as described by Irving Fisher, is a market with the "absence of competition", creating a situati ...
*
Oligopoly An oligopoly (from Greek ὀλίγος, ''oligos'' "few" and πωλεῖν, ''polein'' "to sell") is a market structure in which a market or industry is dominated by a small number of large sellers or producers. Oligopolies often result f ...
*
Two-party system A two-party system is a political party system in which two major political parties consistently dominate the political landscape. At any point in time, one of the two parties typically holds a majority in the legislature and is usually refe ...


References

{{microeconomics Market structure Oligopoly