The evolution of the mixed conjectures in the rent-extraction game
This paper adopts an evolutionary perspective on the rent-extraction model with conjectural variations (CV) allowing for mixed-strategies. We analyze the dynamics of the model with n CVs under the replicator equation. We find that the end points of the evolutionary dynamics include the pure-strategy consistent CVs. However, there are also mixed-strategy equilibria that occur: these are on the boundaries between the basins of attraction of the pure-strategy sinks. Further, we develop a more general notion of consistency which applies to mixed-strategy equilibria. In a three conjecture example, by conducting a global dynamics analysis, we prove that in contrast to the pure-strategy equilibria, the mixed-strategy equilibria are not ESS: under the replicator dynamics, there are three or four mixed equilibria that may either be totally unstable (both eigenvalues positive), or saddle-stable (one stable eigenvalue). There also exist heteroclinic orbits that link equilibria together. Whilst only the pure-strategies can be fully consistent, we find a lower bound for the probability that mixed strategy conjectures will be ex post consistent.
|Date of creation:||Dec 2012|
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- Menezes, Flavio M. & Quiggin, John, 2010.
"Markets for influence,"
International Journal of Industrial Organization,
Elsevier, vol. 28(3), pages 307-310, May.
- Menezes, Flavio & Quiggin, John, 2007. "Markets for Influence," Risk and Sustainable Management Group Working Papers 151184, University of Queensland, School of Economics.
- Flavio Menezes & John Quiggin, 2009. "Markets for Influence," Risk & Uncertainty Working Papers WPR09_2, Risk and Sustainable Management Group, University of Queensland.
- Flavio Menezes & John Quiggin, 2007. "Markets for Influence," Risk & Uncertainty Working Papers WP7R07, Risk and Sustainable Management Group, University of Queensland.
- Menezes, Flavio & Quiggin, John, 2009. "Markets for Influence," Risk and Sustainable Management Group Working Papers 151189, University of Queensland, School of Economics.
- Frank Hahn, 1978. "On Non-Walrasian Equilibria," Review of Economic Studies, Oxford University Press, vol. 45(1), pages 1-17.
- Nicola Giocoli, 2005. "The escape from conjectural variations: the consistency condition in duopoly theory from Bowley to Fellner," Cambridge Journal of Economics, Oxford University Press, vol. 29(4), pages 601-618, July.
- N. Quérou & M. Tidball, 2014. "Consistent conjectures in a dynamic model of non-renewable resource management," Annals of Operations Research, Springer, vol. 220(1), pages 159-180, September.
- Nicolas Quérou & Mabel Tidball, 2009. "Consistent Conjectures in a Dynamic Model of Non-renewable Resource Management," Working Papers 09-28, LAMETA, Universtiy of Montpellier, revised Dec 2009.
- Nicolas Querou & Mabel Tidball, 2014. "Consistent conjectures in a dynamic model of non-renewable resource management," Post-Print hal-01123096, HAL.
- Hahn, Frank H, 1977. " Exercises in Conjectural Equilibria," Scandinavian Journal of Economics, Wiley Blackwell, vol. 79(2), pages 210-226.
- Dixon, Huw, 1986. "Strategic Investment with Consistent Conjectures," Oxford Economic Papers, Oxford University Press, vol. 38(0), pages 111-128, Suppl. No.
- Martin K. Perry, 1982. "Oligopoly and Consistent Conjectural Variations," Bell Journal of Economics, The RAND Corporation, vol. 13(1), pages 197-205, Spring.
- Sugden, Robert, 1985. "Consistent conjectures and voluntary contributions to public goods: why the conventional theory does not work," Journal of Public Economics, Elsevier, vol. 27(1), pages 117-124, June.
- Dixon, Huw D. & Somma, Ernesto, 2003. "The evolution of consistent conjectures," Journal of Economic Behavior & Organization, Elsevier, vol. 51(4), pages 523-536, August.
- Possajennikov, Alex, 2009. "The evolutionary stability of constant consistent conjectures," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 21-29, October.
- Alex Possajennikov, 2009. "The Evolutionary Stability of Constant Consistent Conjectures," Post-Print hal-00701872, HAL.
- Cornes, Richard & Sandler, Todd, 1984. "The theory of public goods: non-nash behaviour," Journal of Public Economics, Elsevier, vol. 23(3), pages 367-379, April.
- Tanaka, Yasuhito, 1991. "On the Consistent Conjectures Equilibrium of Export Subsidy Game," Bulletin of Economic Research, Wiley Blackwell, vol. 43(3), pages 259-271, July.
- Boyer, Marcel & Moreaux, Michel, 1983. "Consistent versus Non-Consistent Conjectures in Doupoly Theory: Some Examples," Journal of Industrial Economics, Wiley Blackwell, vol. 32(1), pages 97-110, September.
- BOYER, Marcel & MOREAUX, Michel, "undated". "Consistent versus non-consistent conjectures in duopoly theory: some examples," CORE Discussion Papers RP 544, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Boyer, M. & Moreaux, M., 1982. "Consistent Versus Non-Consistent Conjectures in Duopoly Theory: Some Examples," Cahiers de recherche 8206, Universite de Montreal, Departement de sciences economiques.
- Szidarovszky, Ferenc & Okuguchi, Koji, 1997. "On the Existence and Uniqueness of Pure Nash Equilibrium in Rent-Seeking Games," Games and Economic Behavior, Elsevier, vol. 18(1), pages 135-140, January.
- Robert Michaels, 1989. "Conjectural variations and the nature of equilibrium in rent-seeking models," Public Choice, Springer, vol. 60(1), pages 31-39, January.
- Cornes, Richard & Sandler, Todd, 1985. "On the consistency of conjectures with public goods," Journal of Public Economics, Elsevier, vol. 27(1), pages 125-129, June.
- Jean-Marie, Alain & Tidball, Mabel, 2006. "Adapting behaviors through a learning process," Journal of Economic Behavior & Organization, Elsevier, vol. 60(3), pages 399-422, July.
- Margaret E. Slade, 1995. "Empirical Games: The Oligopoly Case," Canadian Journal of Economics, Canadian Economics Association, vol. 28(2), pages 368-402, May.
- Klemperer, Paul D. & Meyer, Margaret A., 1988. "Consistent conjectures equilibria: A reformulation showing non-uniqueness," Economics Letters, Elsevier, vol. 27(2), pages 111-115.
- Bresnahan, Timothy F, 1981. "Duopoly Models with Consistent Conjectures," American Economic Review, American Economic Association, vol. 71(5), pages 934-945, December.
- Wieland Müller & Hans-Theo Normann, 2005. "Conjectural Variations and Evolutionary Stability: A Rationale for Consistency," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 161(3), pages 491-491, September.
- Jun-ichi Itaya & Makoto Okamura, 2003. "Conjectural Variations and Voluntary Public Good Provision in a Repeated Game Setting," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 5(1), pages 51-66, January. Full references (including those not matched with items on IDEAS)
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