Fanti, Luciano and Gori, Luca (2011): Cross-ownership and stability in a Cournot duopoly.
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This paper analyses the dynamics of a Cournot duopoly under cross-ownership participation when players have heterogeneous, i.e. bounded rational and naïve, expectations. We find that when the shareholder that owns firm also holds a percentage of firm , the parametric stability region of the unique Cournot-Nash equilibrium is larger than when every firm is owned by a unique shareholder, and an increase in the fraction of shares that the shareholder that owns firm has in firm tends to stabilise the market equilibrium. Moreover, when products are (horizontally) differentiated, a rise in the fraction of shares of firm held by the shareholder that owns firm acts as an economic (de)stabiliser when products of variety and are (complements) substitutes between each other. The policy implication is that, despite on the one hand, cross-ownership acts as an anti-competitive device that indeed tends to reduce social welfare with the corresponding anti-trust consequences, on the other hand, it acts as an economic stabiliser (except when products are complements).
|Item Type:||MPRA Paper|
|Original Title:||Cross-ownership and stability in a Cournot duopoly|
|English Title:||Cross-ownership and stability in a Cournot duopoly|
|Keywords:||Bifurcation; Cournot; Cross-ownership; Duopoly|
|Subjects:||L - Industrial Organization > L1 - Market Structure, Firm Strategy, and Market Performance > L13 - Oligopoly and Other Imperfect Markets
D - Microeconomics > D4 - Market Structure, Pricing, and Design > D43 - Oligopoly and Other Forms of Market Imperfection
C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium
L - Industrial Organization > L4 - Antitrust Issues and Policies > L40 - General
|Depositing User:||Luca Gori|
|Date Deposited:||07. Nov 2011 18:36|
|Last Modified:||19. Feb 2013 11:39|
Agiza, H.N., Hegazi, A.S., Elsadany, A.A., 2002. Complex dynamics and synchronization of duopoly game with bounded rationality. Mathematics and Computers in Simulation 58, 133–146.
Agiza, H.N., Elsadany, A.A., 2003. Nonlinear dynamics in the Cournot duopoly game with heterogeneous players. Physica A 320, 512–524.
Agiza, H.N., Elsadany, A.A., 2004. Chaotic dynamics in nonlinear duopoly game with heterogeneous players. Applied Mathematics and Computation 149, 843–860.
Airline Business, 1998. Airlines with ownership by other carriers News 48.
Alley, W., 1997. Partial ownership arrangements and collusion in the automobile industry. Journal of Industrial Economics 45, 191–205.
Amundsen E.S., Bergman L., 2002. Will cross-ownership re-establish market power in the Nordic power market? Energy Journal 23, 73–95.
Bárcena-Ruiz, J.C., Olaizola, N., 2007. Cost-saving production technologies and partial ownership. Economics Bulletin 15, 1–8.
Bárcena-Ruiz, J.C., Campo, M.L., 2011. Partial cross-ownership and strategic environmental policy. IKERLANAK Working Paper no. 201147, Universidad del País Vasco, Departamento de Fundamentos del Análisis Económico I.
Bischi, G.I., Chiarella, C., Kopel, M., Szidarovszky, F., 2010. Nonlinear Oligopolies. Stability and Bifurcations. Berlin: Springer-Verlag.
Chamberlin, E., 1933. The Theory of Monopolistic Competition. Cambridge (MA): Harvard University Press.
Dixit, A.K., 1986. Comparative statics for oligopoly. International Economic Review 27, 107–122.
Fanti, L., 2011. Cross-participated firms and welfare. Discussion Paper no. 127, Department of Economics, University of Pisa.
Fanti, L., Gori, L., 2011. The dynamics of a differentiated duopoly with quantity competition. MPRA Working Paper no. 33477.
Gilo, D., Moshe, Y., Spiegel, Y., 2006. Partial cross ownership and tacit collusion. RAND Journal of Economics 37, 81–99.
Hotelling, H., 1929. Stability in competition. Economic Journal 39, 41–57.
Leonard, D., Nishimura, K., 1999. Nonlinear dynamics in the Cournot model without full information. Annals of Operations Research 89, 165–173.
Macho-Stadler, I., Verdier, T., 1991. Strategic managerial incentives and cross ownership structure: a note. Journal of Economics 53, 285–297.
Pal, R., 2010. How much should you own? Cross-ownership and privatization. Indira Gandhi Institute of Development Research, Mumbai, September, http://www.igidr.ac.in/pdf/publication/WP-2010-015.pdf.
Parker, P.M., Roller L.H., 1997. Collusive conduct in duopolies: multimarket contact and cross-ownership in the mobile telephone industry. RAND Journal of Economics 28, 304–322.
Singh, N., Vives, X., 1984. Price and quantity competition in a differentiated duopoly. RAND Journal of Economics 15, 546–554.
Tramontana F., 2010. Heterogeneous duopoly with isoelastic demand function. Economic Modelling 27, 350–357.
Trivieri, F., 2007. Does cross-ownership affect competition? Evidence from the Italian banking industry. Journal of International Financial Markets, Institutions and Money 17, 79–101.
Zhang, J., Da, Q., Wang, Y., 2007. Analysis of nonlinear duopoly game with heterogeneous players. Economic Modelling 24, 138–148.