Skip to main content
Log in

Sustaining Collusion Via a Fuzzy Trigger

  • Published:
Review of Industrial Organization Aims and scope Submit manuscript

Abstract

Probability theory is the standard economic representation of uncertainty, although it is not always an accurate one. Fuzzy logic is an alternative representation that does not require individual beliefs regarding the explicit functional form of uncertainty. This paper applies fuzzy logic to an oligopoly trigger pricing game. The fuzzy trigger pricing game reverses the standard cyclical price war prediction; collusion-sustaining price wars are most likely to occur during times of high demand. The fuzzy model also predicts that markets with relatively volatile prices are more likely to undergo collusion-sustaining price wars. The predictions are consistent with available empirical evidence.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Benaroch, Michel (1996) ‘Artificial Intelligence in Economics: Truth and Dare’, Journal of Economic Dynamics and Control, 20, 601–5.

    Google Scholar 

  • Bresnahan, Timothy F. (1987) ‘Competition and Collusion in the American Automobile Industry: The 1955 Price War’, Journal of Industrial Economics, 35, 457–82.

    Google Scholar 

  • Butnariu, Dan (1979) ‘Solution Concepts for n-Person Fuzzy Games’, in Madan M. Gupta, Rammohn K. Ragade and Ronald R. Yager (eds.), Advances in Fuzzy Set Theory and Applications. Amsterdam: North-Holland Publishing Company. pp. 339–360.

    Google Scholar 

  • Domowitz, Ian, R. Glenn Hubbard and Bruce C. Peterson (1986) ‘Business Cycles and Oligopoly Supergames: Some Empirical Evidence on Prices and Margins’, Working Paper No. 2057. Cambridge MA: National Bureau of Economic Research.

    Google Scholar 

  • Dompere, Kofi Kissi (1995) ‘The Theory of Social Costs and Costing for Cost-Benefit Analysis in a Fuzzy Decision Space’, Fuzzy Sets and Systems, 76, 1–24.

    Google Scholar 

  • Driankov, Dimiter, Hans Hellendoorn and Michael Reinfrank (1994) An Introduction to Fuzzy Control. Berlin: Springer-Verlag.

    Google Scholar 

  • Fedrezzi, Mario, Michele Fedrezzi and Walenty Ostasiewicz (1993) ‘Towards Fuzzy Modeling in Economics’, Fuzzy Sets and Systems, 54, 259–68.

    Google Scholar 

  • Friedman, James W (1971) ‘A Non-cooperative Equilibrium for Supergames’, Review of Economic Studies, 28, 1–12.

    Google Scholar 

  • Fudenberg, Drew and Jean Tirole (1991) Game Theory, Cambridge: MIT Press.

    Google Scholar 

  • Green, Edward J. (1983) ‘A Study of Cartel Stability: The Joint Executive Committee, 1880–1886’, Bell Journal of Economics, 14, 301–14.

    Google Scholar 

  • Green, Edward J. and Porter, Robert H. (1984) ‘Non-Cooperative Collusion under Imperfect Price Information’, Econometrica, 52, 87–100.

    Google Scholar 

  • Greenhut, John G., M. L. Greenhut and Yusuf Mansur (1995) ‘Oligopoly and Behavioral Uncertainty: An Application of Fuzzy Set Theory’, Review of Industrial Organization, 10, 269–88.

    Google Scholar 

  • Jamshidi, Mohammad, Nader Vadiee and Timothy Ross eds. (1993) Fuzzy Logic and Control: Software and Hardware Applications. Englewood Cliffs: Prentice Hall.

    Google Scholar 

  • Mansur, Yusuf (1995) Fuzzy Sets and Economics: Applications of Fuzzy Mathematics to Non-Cooperative Oligopoly, London: Edward Elgar Co.

    Google Scholar 

  • Rotemberg, Julio J. and Garth Saloner (1986) ‘A Supergame-Theoretic Model of Price Wars during Booms’, American Economic Review, 76, 390–407.

    Google Scholar 

  • Suslow, Valerie Y. (1988) ‘Stability in International Cartels: An Empirical Survey’, Domestic Studies Program, Hoover Institution, Stanford University, Working Papers in Economics E–88–7.

  • Zadeh, Lotfi A. (1983) ‘A Computational Approach to Fuzzy Quantifiers in Natural Languages’, Computers and Mathematics with Applications, 9, 149–84.

    Google Scholar 

  • Zadeh, Lotfi A. (19??) ‘Fuzzy Sets and Information Granularity’, in Madan M. Gupta, Rammohn K. Ragade and Ronald R. Yager, eds, Advances in Fuzzy Set Theory and Applications. Amsterdam: North-Holland Publishing Company. pp. 3–18.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Goodhue, R.E. Sustaining Collusion Via a Fuzzy Trigger. Review of Industrial Organization 13, 333–345 (1998). https://doi.org/10.1023/A:1007796509603

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007796509603

Navigation