Abstract
This long series of papers consist of three parts. Part I is concerned with the basic dual relations between the Cournot and Bertrand models. Part II begins to deal with the world of risk and uncertainty, with a discussion of the Cournot duopoly model with a common demand risk as a starting point. It then deals with other types of duopoly models with a common risk. Part III discusses more complicated problems such as private risks and oligopoly models. All these three parts taken together aim to carefully outline and critically evaluate the problem of information exchanges in oligopoly models, one of the most important topics in contemporary economics.
The true motivation of writing such survey papers is to strive for a synthesis of the economics of imperfect competition and the economics of imperfect information. The problem at issue is how and to what extent the information exchanges among firms influence the welfare of producers, consumers, and the whole society. It is seen in the paper that a definite answer to the problem really depends on the following many factors. (1) The type of competitors (Cournot-type or Bertrand-type), (2) the nature of risk (a common value or private values; demand risk or cost risk), (3) the degree and direction of physical and stochastic interdependence among firms, and (4) the number of firms. If any set of those factors is specified in a given oligopoly model, the welfare and policy implications may very systematically be derived by way of their decomposition into the following four effects. That is, (i) own variation effects, (ii) cross variation effects, (iii) own efficiency effects, and (iv) cross efficiency effect. In the real world, trade associations may be regarded as typical information exchange mechanisms. Many welfare implications obtained in the papers will shed a new light to the effectiveness and limitations of those trading groups.
This paper is a completely revised version of the opening part of Sakai (1989).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
See Yasui (1979).
- 2.
The imperfect competition revolution took place in the 1930s, with J. Robinson (1933), Chamberlin (1933), and Stackelberg (1934) being its front runners. We would add to say that another equally important revolution−the imperfect information revolution−happened in the 1970s in which Arrow (1970), Akerlof (1970), Stiglitz (1975a, b), and Spence (1974) were primary promoters. The nature and significance of this new revolution was intensively discussed by Sakai (1982). For the economic thought of risk and uncertainty, see Sakai (2010).
- 3.
For instance, see Vives (1990, 1992, 1999, 2008). Kühn and Vives (1994), Sakai (1990), Sakai and Yamato (1990). All of those works on oligopoly and information were done on the mathematical basis of the theory of games with incomplete information (see Harsanyi (1967–1968)). And, they were also applied to the evaluation of industrial policies in the real economies (see Komiya (1975)).
- 4.
The theory of games was first established as the joint product of a born mathematician and a noted economist in von Neumann and Morgenstern (1944), and later developed by the “man with beautiful mind,” namely, Nash (1951). For its applications to oligopoly problems, see Shubik (1982), J.M. Friedman (1986), and more recent works by many others. Also see Marschack and Radner (1972).
- 5.
There is now a growing body of literature dealing with the working and performance of oligopoly markets under product differentiation, centering around the duality and efficiency comparison between Cournot and Bertrand equilibriums. For its earlier works, see Singh and Vives (1984), Vives (1984), Okuguchi (1986), and Sakai (1986). Also see Suzumura and Okuno-Fujiwara (1987).
- 6.
In the light of the history of economic thought, there have been so many ways of introducing risk and uncertainty into economic models. For details, see Sakai (2010).
- 7.
- 8.
See Gray-Bobo (1988), p. 20. Sakai is still remember how much he was excited when he read his paper on a new topic on the theory of oligopoly and information before the huge audience at the University of Bologna, Italy. Sakai really left his heart in the presumably oldest university in the world. We can surely learn new lessons from old teachings!
References
Akerlof GA (1970) The market for lemons: qualitative uncertainty and the market mechanism. Q J Econ 84:480–500
Arrow KJ (1970) Essays in the theory of risk-bearing. North Holland
Basar T, Ho Y (1974) Informational properties of the Nash solution of the two stochastic non-zero-sum games. J Econ Theory 7:370–384
Bertrand J (1884) Book review of Cournot (1838): Theorie mathematique de la richess social and of recherches Sur les principles mathematique de la theorie des richesses. J des Savants 24:400–508
Chamberlin EH (1933) The theory of monopolistic competition. Harvard University Press
Clarke RN (1983) Collusion and the incentives for information sharing. Bell J Ecol 14:383–394
Cournot AA (1838) Recherches sur les principles mathematique de la theorie des richesses. Hachette, Paris
Friedman JM (1986) Game theory with applications to economics. Oxford University Press
Gal-Or E (1985) Information sharing in oligopoly. Econometrica 53:329–343
Gal-Or E (1986) Information transmission − Cournot and Bertrand equilibria. Rev Econ Stud 54:279–292
Gal-Or E (1987) First mover disadvantages with private information. Rev Econ Stud 54:259–270
Gray-Bobo R (1988) Cournot: a great precursor of mathematical economics. In: Paper presented at the third congress of the European economic association, Bologna, Italy
Harsanyi JC (1967–1968) Games with incomplete information played by ‘Bayesian players.’ Manag Sci 14(Part I): 159–182, (Part II), 320–334, (Part III), 486–502
Hicks J (1935) Annual survey of economic theory: the theory of monopoly. Econometrica 3(1):1–20
Komiya R (1975) Planning in Japan. In: Bernstein M (ed) Economic planning: east and west. Ballinger, New York, pp 189–227
Kühn KU, Vives X (1994) Information exchanges among firms and their impact on competition. Discussion paper, Institute of Analytical Economics, University of Barcelona, 94-1: 1–126
Li L (1985) Cournot oligopoly with information sharing. Rand J Econ 16:521–536
Marschack J, Radner R (1972) Economic theory of teams. Yale University Press
Nalebuff B , Zwckhauser R (1986) The ambiguous implications of information sharing. Discussion Paper , Kennedy School of Government, Harvard University, 86–14: 1–36
Nash JF (1951) Non-cooperative games. Ann Math 54:286–295
Novshek W, Sonnenschein H (1982) Fulfilled expectations Cournot duopoly with information acquisition and release. Bell J Econ 13:214–218
Okada A (1982) Information exchange between duopolistic firms. J Oper Res Soc Jpn 25:58–76
Okuguchi K (1986) Equilibrium prices in the Bertrand and Cournot oligopolies. J Econ Theory 42:128–139
Ponssard JP (1979) Strategic role of information in demand function in an oligopolistic market. Manag Sci 25:240–250
Robinson J (1933) The economics of imperfect competition. Macmillan, London
Sakai Y (1982) The economics of uncertainty (in Japanese). Yuhikaku Publishers, Tokyo
Sakai Y (1985) The value of information in a simple duopoly model. J Econ Theory 36:56–74
Sakai Y (1986) Cournot and Bertrand equilibriums under imperfect information. J Econ 46:213–232
Sakai Y (1987) Cournot and Stakelberg equilibria under product differentiation: first mover and second-mover advantages. Tsukuba Econ Rev 18:1–33
Sakai Y (1989) Information sharing in oligopoly: overview and evaluation. Discussion paper 89-1, Social Sciences, University of Tsukuba, pp 1–87
Sakai Y (1990) Theory of oligopoly and information (in Japanese). Toyo Keizai Publishers, Tokyo
Sakai Y (2010) Economic thought of risk and uncertainty (in Japanese). Minerva Publishers, Kyoto
Sakai Y, Yamato T (1989) Oligopoly, information and welfare. J Econ 49:3–24
Sakai Y, Yamato T (1990) On the exchange of cost information in a Bertrand-type duopoly model. Econ Stud Q 41:48–64
Shapiro C (1986) Exchange of cost information in oligopoly. Rev Econ Stud 53:433–466
Shubik M (1982) Game theory in the social sciences: concepts and solutions. MIT Press
Singh N, Vives X (1984) Price and quantity competition in a differentiated duopoly. Rand J Econ 15:546–554
Spence M (1974) Market signaling: information transfer in hiring and related screening processes. Harvard University Press
Stackelberg H von (1934) Marktform und Gleichgewicht (in Germany). Julius Springer, Berlin
Stiglitz JE (1975a) The theory of ‘screening,’ education, and the distribution of income. Am Econ Rev 63:283–300
Stiglitz JE (1975b) Incentives, rsk and information: notes toward a theory of hierarchy. Bell J Econ 6:552–579
Suzumura K, Okuno-Fujiwara M (1987) Industiral policy in Japan: overview and evaluation. In: Sato R, Wachtel P (eds) Trade friction and economic policy: problems and prospects for Japan and the United States. Cambridge University Press, New York, pp 50–79
Vives X (1984) Duopoly information equilibrium: Cournot and Bertrand. J Econ Theory 34(1):71–94
Vives X (1990) Information and comparative advantage. Int J Ind Org 8:33–52
Vives X (1992) Trade association disclosure rules, incentives to share information, and welfare. Rand J Econ 21(3):409–430
Vives X (1999) Oligopoly pricing: old ideas and new tools. MIT Press
Vives X (2008) Information and learning in markets: the impact of microstructure. Princeton University Press
Von Neumann J, Morgenstern O (1944) Theory of games and economic behavior. Princeton University Press, Princeton
Yasui T (1979) Economics and my life (in Japanese). Bokutaku Publishers, Tokyo
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Sakai, Y., Sasaki, K. (2021). Information Exchanges among Firms and Their Welfare Implications (Part I): The Dual Relations between the Cournot and Bertrand Models. In: Information and Distribution. New Frontiers in Regional Science: Asian Perspectives, vol 49. Springer, Singapore. https://doi.org/10.1007/978-981-10-0101-7_4
Download citation
DOI: https://doi.org/10.1007/978-981-10-0101-7_4
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-0100-0
Online ISBN: 978-981-10-0101-7
eBook Packages: Economics and FinanceEconomics and Finance (R0)