Skip to main content
Log in

Collusion, concentration and profits

An empirical confrontation of an old story and a supergame implication

  • Published:
Empirica Aims and scope Submit manuscript

Abstract

The paper confronts the hypothesis of a positive profitability concentration relationship (‘the old story’) with a robust prediction of supergame models (‘the new story’). In supergames the feasibility of collusion (and to some degree also actual profits) depends on relative profitability of defection versus that of collusion. The detrminants for this evaluation — the time discount proper, riskiness of markets, exit probability and lags — can be summarized as ‘relevant time discount’. Cross section empirical evidence (97 sectors, 886 firms) is more in line with the supergarme prediction. The evidence depends on the variables chosen to proxy the ‘relevant time discount’. Its value is limited as any evidence for game theoretical models supplied by cross section aggregate data. We followed Sutton (1991) to test robust predictions and Schmalensee (1989) to investigate the robustness of the results.

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

  • Adelman, M.A. and B.E. Stangle (1985), ‘Profitability and Market Share’, in F.M. Fisher (ed.),Antitrust and Regulation, Cambridge, London: MIT Press.

    Google Scholar 

  • Aiginger, K. (1987),Production and Decision Theory under Uncertainty, Blackwell.

  • Aiginger, K. (1989), ‘The Optimal Reaction of Production and Investment on Uncertainty’, in M. Funke (ed.),Factors in Business Investment, Augsburg: Springer.

    Google Scholar 

  • Bain, J.S. (1951), ‘Relation of Profit Rate on Industry Concentration: American Manufacturing, 1936–1940’,Quarterly Journal of Economics 65, 293–324.

    Google Scholar 

  • Bain, J.S. (1956), ‘Barriers to New Competition’, Cambridge: Harvard Press.

    Google Scholar 

  • Blair, J. (1972),Economic Concentration, New York: Hartcourt.

    Google Scholar 

  • Baum, C. (1978), ‘Systematische Fehler bei der Darstellung der Unternehmenskonzentration durch Konzentrationskoeffizient auf Basis Industriestatistischer Daten’,Jahrbuch für Nationalökonomie und Statistik 193 (1), 30–53.

    Google Scholar 

  • Blanchard, O.J. (1986),Discussion on Hart 1986, see Hall.

  • Bradburd, R.M. and A.M. Over (1982), ‘Organizational Costs, ‘sticky’ Equilibria and Critical Levels of Concentration’,Review of Economics and Statistics 64, 50–58.

    Google Scholar 

  • Bresnahan, T.F. (1981), ‘Duopoly Models with Consistent Conjectures’,American Economic Review 71, 934–994.

    Google Scholar 

  • Bresnahan, T.F. (1989), ‘Empirical Studies of Industries with Market Power’, in R. Schmalensee and R.D. Willig (eds.)Handbook of Industrial Organization, Amsterdam, New York: Elsevier Publishers.

    Google Scholar 

  • Bulow, J., J. Geanakopolos, and D. Klemperer (1985), ‘Multimarket Oligopoly, Strategic Substitutes and Complements’,Journal of Political Economy, 488–511.

  • Buzzel, R.D. and B.T. Gale (1982),The PIMS Principles: Linking Strategy to Performance, New York, Free Press.

    Google Scholar 

  • Caves, R.E. and D.R. Barton (1990), ‘Efficiency in U.S. Manufacturing’, Cambridge, London: MIT Press.

    Google Scholar 

  • Cheng, L. (1985), ‘Comparing Bertrand and Cournot Equilibria: A Geometric Approach’,Rand Journal of Economics 16, 146–152.

    Google Scholar 

  • Cowling, K. and M. Waterson (1976), ‘Price Cost Margins and Market Structure’,Economica 38, 378–394.

    Google Scholar 

  • Curry, B. and K.D. George (1963), ‘Industrial Concentration: A Survey’,Journal of Industrial Economics (March).

  • Davis, S., P. Geroski, and D. Vlassopoulos (1990),How Concentrated are Markets in the U.K.?, mimeo, Lille.

  • Demsetz, H. (1973), ‘Industry Structure, Market Rivalry, and Public Policy’,Journal of Law and Economics 16, 1–10.

    Google Scholar 

  • Demsetz, H. (1974), ‘Two Systems of Belief about Monopoly’, in H.J. Goldschmid, H.M. Mann, and J.F. Weston (eds.),Industrial Concentration: The New Learning, Boston: Little, Brown & Company.

    Google Scholar 

  • Dixit, A.K. (1980), ‘The Role of Investment in Entry Deterrence’,Economic Journal 90, 95–106.

    Google Scholar 

  • Domowitz, I., G. Hubbard, and B.C. Petersen (1987), ‘Oligopoly Supergames: Some Empirical Evidence on Prices and Margins’,Journal of Industrial Economics 35, 379–398.

    Google Scholar 

  • Fisher, F.M. and J.J. McGowan (1983), ‘On the Misuse of Accounting Rates of Return to Infer Monopoly Profits’,American Economic Review 73 (1), 82–97.

    Google Scholar 

  • Frantz, R.S. (1988),X-Efficiency: Theory Evidence and Applications, Boston: Kluwer.

    Google Scholar 

  • Fudenberg, D. and E. Maskin (1986), ‘The Folk Theorem in Repeated Games with Discounting and Incomplete Information’,Econometrica 54, 533–554.

    Google Scholar 

  • Gale, B.T. (1972), ‘Market Share and the Rate of Return’,Review of Economics and Statistics 54, 421–423.

    Google Scholar 

  • Gale, B.T. and B.S. Branch (1982), ‘Concentration versus Market Share’,Antitrust Bulletin, 83–106.

  • Geroski, P.A., ‘Specification and Testing the Profits-Concentration Relationship: Some Experiment for the U.K.’,Economica 48, 279–288.

  • Geroski, P.A. (1987),Competition and Innovation, Report prepared for the E.C. Commission, Brussels.

  • Geroski, P.A. (1990), ‘Innovation and the Evolution of Market Structure’,The Journal of Industrial Economics 38, (March), 299–314.

    Google Scholar 

  • Geroski, P.A. and A. Jacquemin (1988), ‘The Persistence of Profits: A European Comparison’,Economic Journal 98, 375–389.

    Google Scholar 

  • Gilbert, R.A. (1984), ‘Bank Structure and Competition’,Journal of Money, Credit and Banking 16 (4), 617–660.

    Google Scholar 

  • Gort, M. and R. Singamsetti (1976), ‘Concentration and Profit Rates: New Evidence on an Old Issue’,Explorations in Economic Research 3, 1–20.

    Google Scholar 

  • Grabowski, H.G. and D.C. Mueller (1978), ‘Industrial Research and Development, Intangible Capital Stocks, and Firm Profit Rates’,Bell Journal of Economics 9, 328–343.

    Google Scholar 

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

    Google Scholar 

  • Hall, R.E. (1986), ‘Market Structure and Macroeconomic Fluctuations’,Brookings Papers on Economic Activity 2, 285–322.

    Google Scholar 

  • Hall, R.E. (1988), ‘The Relation between Price and Marginal Cost in U.S. Industry’,Journal of Political Economy 96 (5), 921–947.

    Google Scholar 

  • Harris, F. (1988), ‘Testable Comple Competing Hypotheses from the Structure Performance Theory: Efficient Structure versus Market Power’,Journal of Industrial Economics 36, 267–280.

    Google Scholar 

  • Hirschey, M. (1985), ‘Market Structure and Market Value’,Journal of Business 58, 89–98.

    Google Scholar 

  • Jacquemin, A. (1990). ‘Horizontal Concentration and European Merger Policy’,European Economic Review 34, 539–550.

    Google Scholar 

  • Jacquemin, A., P. Buigues, and F. Ilzkovitz (1989), ‘Horizontal Mergers and Competition Policy in the European Community’,European Economy 40 (May).

  • Jacquemin, A., E. de Ghellinck and C. Huveneers, ‘Concentration and Profitability in a Small, Open Economy’,Journal of Industrial Economics 29, 131–144.

  • Jacquemin, A. and H.W. De Jong (1977),European Industrial Organization, New York: Wiley.

    Google Scholar 

  • Kreps, D. and J. Scheinkman (1983), ‘Quantity Precommittment and Bertand Competition Yield Cournot Outcomes’,Bell Journal of Economics 14, 326–337.

    Google Scholar 

  • Leibenstein, H. (1966), ‘Allocative Efficiency versus X-Efficiency’,American Economic Review 56, 392–415.

    Google Scholar 

  • Martin, S. (1983),Market, Firm and Economic Performance, New York: Salomon Brothers Center.

    Google Scholar 

  • Maskin, E. (1986), ‘The Existence of Equilibrium with Price Setting Firms’,American Economic Review 76, 382–386.

    Google Scholar 

  • Maskin, E. and J. Tirole (1987), ‘A Theory of Dynamic Oligopoly III; Cournot Competition’,European Economic Review 31, 947–968.

    Google Scholar 

  • Maskin, E. and J. Tirole (1988A), ‘A Theory of Dynamic Oligopoly I’,Econometrica 56, 549–569.

    Google Scholar 

  • Maskin, E. and J. Tirole (1988B), ‘A Theory of Dynamic Oligopoly II’,Econometrica 56, 571–599.

    Google Scholar 

  • Neumann, M. (1980), ‘Marktmacht und Kosteninflation’,Jahrbuch für Nationalökonomie und Statistik 195, 477f.

    Google Scholar 

  • Neumann, M. (1990), ‘Industrial Policy and Competition Policy’,European Economic Review 34, 562–567.

    Google Scholar 

  • Neumann, M., I. Boebel and A. Haid (1983), ‘Business Cycle and Industrial Market Power’,Journal of Industrial Economics 32, 187–195.

    Google Scholar 

  • Neumann, M. and A. Haid (1985), ‘Concentration and Economic Performance’, in J. Schwalbach (ed.),Industry Structure and Performance, Berlin: WZB Edition Sigma.

    Google Scholar 

  • Neumann, M., I. Boebel and A. Haid (1985), ‘Domestic Concentration, Foreign Trade and Economic Performance’,International Journal of Industrial Organization 3, 1–19.

    Google Scholar 

  • Ordover, J. and W. Baumol (1988), ‘Antitrust Policy and High Technology Industries’,Oxford Review

  • Perry, M. (1982), ‘Oligopoly and Consistent Conjectural Variation’,Bell Journal, 197–205.

  • Phillips, A. (1976), ‘A Critique of Empirical Studies of Relations between Market Structure and Profitability’Journal of Industrial Economics 24, 241–249.

    Google Scholar 

  • Porter, R. (1983A), ‘Optimal Cartel Trigger Price Strategies’,Journal of Economic Theory 29, 313–338.

    Google Scholar 

  • Porter, R., (1983B), ‘A Study of cartel Stability: The Joint Executive Comittee 1980–86’,Rand Journal of Economics 14, 301–314.

    Google Scholar 

  • Posner, R. (1975), ‘The Social Costs of Monopoly and Regulation’,Journal of Political Economy 83, 807–827.

    Google Scholar 

  • Ravenscraft, D.J. (1983), ‘Structure Profit Relationships at the Line of Business and the Industry Level’,Review of Economics and Statistics, pp. 22–31.

  • Rotemberg, J. and G. Saloner (1986), ‘A Supergame Theoretic Model of Business Cycles and Price War during Booms’,American Economic Review, 390–407.

  • Salinger, M. (1990), ‘The Concentration-Margins Relationship Reconsidered’, Brookings Papers: Microeconomics, pp. 287–335.

  • Scherer, F.M. (1969), ‘Market Structure and the Stability of Investment’,American Economic Review 59, 72–79.

    Google Scholar 

  • Schmalensee, R. (1985), ‘Do Markets Differ Much?’,American Economic Review 75, 341–351.

    Google Scholar 

  • Schmalensee, R. (1987), ‘Collusion versus Differential Efficiency: Testing Alternative Hypothesis’,Journal of Industrial Economics 35, 399–425.

    Google Scholar 

  • Schmalensee, R. (1989), ‘Interindustry Studies of Structure and Performance’, in R. Schmalensee and R.D. Willig (eds.),Handbook of Industrial Organization, II, Amsterdam, New York: Elsevier Publishers.

    Google Scholar 

  • Shaked, A. and J. Sutton (1982), ‘Relaxing Price Competition through Product Differentiation’,Review of Economic Studies 49, 131–146.

    Google Scholar 

  • Shaked, A. and J. Sutton (1990), ‘Multiproduct Firms and Market Structure’,Rand Journal of Economics 21, 45–62.

    Google Scholar 

  • Shapiro, C. (1989), ‘Theories of Oligopoly Behavior’, in R. Schmalensee and R.D. Willig (eds.),Handbook of Industrial Organization, Amsterdam, New York: Elsevier Publishers.

    Google Scholar 

  • Singh, N. and X. Vives (1984), ‘Price and Quantity Competition in a Differentiated Duopoly’,Rand Journal of Economics 15, 546–554.

    Google Scholar 

  • Spence, M. (1977), ‘Entry, Capacity, Investment and Oligopolistic Pricing’Bell Journal, 534–544.

  • Staiger, R.W. and F.A. Wolak (1992), ‘Collusive Pricing with Capacity Constraints in Presence of Demand Uncertainty’,Rand Journal of Economics 23, (2), 203–220.

    Google Scholar 

  • Stigler, G. (1964), ‘A Theory of Oligopoly’,Journal of Political Economy, 44–61.

  • Sutton, J. (1991),Sunk Costs and Market Structure, Cambridge, London: MIT Press.

    Google Scholar 

  • Tirole, J. (1989),The Theory of Industrial Organization, Cambridge, London: MIT Press.

    Google Scholar 

  • Vives, X. (1985), ‘On the Efficiency of Cournot and Bertrand Competition with Product Differentiation’,Journal of Economic Theory 36 (1), 166–175.

    Google Scholar 

  • Waterson, M. (1980), ‘Price Cost Margin and Successive Market Power’,Quarterly Journal of Economics 94, 135–150.

    Google Scholar 

  • Waterson, M. (1990), ‘Product Differentiation and Profitability: An Asymmetric Model’,Journal of Industrial Economics 39, 113–130.

    Google Scholar 

  • Weiss, C.R. (1993),Preisrigidität und Marktstruktur, Europäische Hochschulschriften, Vol. 1448, Frankfurt am Main, Peter Lang.

    Google Scholar 

  • Weiss, L.W. (1974), ‘The Concentration-Profits Relationship and Antitrust’, in H.J. Goldschmid, H.M. Mann, and J.F. Weston (eds.),Industrial Concentration: The New Learning, Boston: Little, Brown & Company.

    Google Scholar 

  • Weiss, L.W. (1989),Concentration and Price, Cambridge, London: MIT Press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

I would like to thank Gerhard Clemenz, Sepp Falkinger, Paul A. Geroski, Georg Kirchsteiger, Dennis C. Mueller, Manfred Neumann, Robert Porter for helpful comments and suggestions. Part of the research was done during my sabbatical at M.I.T. Special thanks to Dagmar Guttmann and Traude Novak who gave assistance in providing the data and reading various drafts of the manuscript.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aiginger, K. Collusion, concentration and profits. Empirica 20, 159–173 (1993). https://doi.org/10.1007/BF01383979

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01383979

JEL codes

Key words

Navigation