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An experimental study of mixed strategy equilibria in simultaneous price-quantity games

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  • Daniel Cracau

    () (Faculty of Economics and Management, Otto-von-Guericke University Magdeburg)

  • Benjamin Franz

    () (Mathematical Institute, University of Oxford)

Abstract

We study oligopoly games with firms competing in prices and quantities at the same time. We systematically compare our experimental results to the theoretical predictions using the mixed strategy equilibria for linear demand functions. For the duopoly game, we observe that the mixed strategy equilibrium predicts average outcomes better than Cournot and Bertrand do. Subjects' price choices are mainly between marginal cost and monopoly level but do not follow the equilibrium distribution. Although average prices and profits are above theoretical values, we do not observe a high level of collusion as expected in the literature. By comparing simulations based on the mixed strategy equilibrium to our experimental outcomes, we conclude that in this game price setting can be explained by strategic reaction to preceding round results. In contrast to the equilibrium prediction, we observe a decrease in prices and negative average profits for the triopoly game.

Suggested Citation

  • Daniel Cracau & Benjamin Franz, 2012. "An experimental study of mixed strategy equilibria in simultaneous price-quantity games," FEMM Working Papers 120017, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
  • Handle: RePEc:mag:wpaper:120017
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    References listed on IDEAS

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    1. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    2. Muren, Astri, 2000. "Quantity precommitment in an experimental oligopoly market," Journal of Economic Behavior & Organization, Elsevier, vol. 41(2), pages 147-157, February.
    3. Neugebauer, Tibor & Selten, Reinhard, 2006. "Individual behavior of first-price auctions: The importance of information feedback in computerized experimental markets," Games and Economic Behavior, Elsevier, vol. 54(1), pages 183-204, January.
    4. Tasnadi, Attila, 2006. "Price vs. quantity in oligopoly games," International Journal of Industrial Organization, Elsevier, vol. 24(3), pages 541-554, May.
    5. Emmanuel Dechenaux & Dan Kovenock, 2011. "Endogenous rationing, price dispersion and collusion in capacity constrained supergames," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 29-74, May.
    6. Potters, Jan & Rockenbach, Bettina & Sadrieh, Abdolkarim & van Damme, Eric, 2004. "Collusion under yardstick competition: an experimental study," International Journal of Industrial Organization, Elsevier, vol. 22(7), pages 1017-1038, September.
    7. Douglas D. Davis, 2013. "Advance Production, Inventories, And Market Power: An Experimental Investigation," Economic Inquiry, Western Economic Association International, vol. 51(1), pages 941-958, January.
    8. Ignacio Palacios-Huerta & Oscar Volij, 2008. "Experientia Docet: Professionals Play Minimax in Laboratory Experiments," Econometrica, Econometric Society, vol. 76(1), pages 71-115, January.
    9. Jordi Brandts & Pablo Guillen, 2007. "COLLUSION AND FIGHTS IN AN EXPERIMENT WITH PRICE-SETTING FIRMS AND ADVANCE PRODUCTION -super-," Journal of Industrial Economics, Wiley Blackwell, vol. 55(3), pages 453-473, September.
    10. Dufwenberg, Martin & Gneezy, Uri, 2000. "Price competition and market concentration: an experimental study," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 7-22, January.
    11. Michael McAleer & Felix Chan & Les Oxley, 2013. "Modeling and Simulation: An Overview," Working Papers in Economics 13/18, University of Canterbury, Department of Economics and Finance.
    12. James W. Friedman, 1988. "On the Strategic Importance of Prices versus Quantities," RAND Journal of Economics, The RAND Corporation, vol. 19(4), pages 607-622, Winter.
    13. Levitan, Richard & Shubik, Martin, 1972. "Price Duopoly and Capacity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(1), pages 111-122, February.
    14. Christoph Engel, 2006. "How Much Collusion. A Meta-Analysis On Oligopoly Experiments," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2006_27, Max Planck Institute for Research on Collective Goods.
    15. Osborne, Martin J. & Pitchik, Carolyn, 1986. "Price competition in a capacity-constrained duopoly," Journal of Economic Theory, Elsevier, vol. 38(2), pages 238-260, April.
    16. Bruttel, Lisa V., 2009. "Group dynamics in experimental studies--The Bertrand Paradox revisited," Journal of Economic Behavior & Organization, Elsevier, vol. 69(1), pages 51-63, January.
    17. Abbink, Klaus & Brandts, Jordi, 2008. "24. Pricing in Bertrand competition with increasing marginal costs," Games and Economic Behavior, Elsevier, vol. 63(1), pages 1-31, May.
    18. MiguelA. Fonseca & Hans-Theo Normann, 2008. "Mergers, Asymmetries and Collusion: Experimental Evidence," Economic Journal, Royal Economic Society, vol. 118(527), pages 387-400, March.
    19. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
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    Cited by:

    1. repec:ctc:serie1:def11 is not listed on IDEAS
    2. Daniel Cracau & Abdolkarim Sadrieh, 2014. "The Divergent Effects of Long-Term and Short-Term Entry Investments on Home Market Cartels," FEMM Working Papers 140003, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    3. Assenza, Tiziana & Grazzini, Jakob & Hommes, Cars & Massaro, Domenico, 2015. "PQ strategies in monopolistic competition: Some insights from the lab," Journal of Economic Dynamics and Control, Elsevier, vol. 50(C), pages 62-77.

    More about this item

    Keywords

    Price-Quantity Competition; Mixed Strategy Equilibria; Experimental Economics; Learning Direction Theory;

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

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