Roman, Mihai Daniel (2008): Entreprises behavior in cooperative and punishment‘s repeated negotiations. Published in: Journal of Applied Quantitative Methods No. 1/2009 (30. January 2009): pp. 1-16.
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Our paper considers a “negotiation game” between two players which combines the features of two-players alternating offers bargaining and repeated games. Generally, the negotiation game in general admits a large number of equilibriums but some of which involve delay and inefficiency. Thus, complexity and bargaining in tandem may offer an explanation for cooperation and efficiency in repeated games. The Folk Theorem of repeated games is a very used result that shows if players are enough patience then it is possible to obtain a cooperative equilibrium of the infinite repeated game. We proof a new folk theorem for finitely repeated games and also we find new conditions (under stage number and minimum discount factor value) such that players cooperate at least one period in cooperative-punishment repeated games. Finally we present a study-case for Cournot oligopoly situation for n enterprises behavior under finitely and infinitely repeated negotiations. We found for this situation discount factor depends only on players number, not on different player’s payoffs.
|Item Type:||MPRA Paper|
|Original Title:||Entreprises behavior in cooperative and punishment‘s repeated negotiations|
|Keywords:||Negotiation Game, Repeated Game, Bargaining, Folk theorem, Bounded Rationality, Cournot oligopoly|
|Subjects:||C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C78 - Bargaining Theory; Matching Theory
L - Industrial Organization > L1 - Market Structure, Firm Strategy, and Market Performance > L13 - Oligopoly and Other Imperfect Markets
D - Microeconomics > D4 - Market Structure and Pricing > D43 - Oligopoly and Other Forms of Market Imperfection
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C73 - Stochastic and Dynamic Games; Evolutionary Games; Repeated Games
|Depositing User:||Mihai Daniel Roman|
|Date Deposited:||21. Mar 2012 13:33|
|Last Modified:||12. Feb 2013 17:59|
Abreu, D., A. Rubinstein The Structure of Nash Equilibria in Repeated Games with Finite Automata," Econometrica, 56, 1988, p.1259-82.
Anderlini, L., Sabourian, H., "Cooperation and Effective Computability," Econometrica, Econometric Society, vol. 63(6), 1995. p. 1337-69,
Aoki M., "Modeling Aggregate Behavior and Fluctuations in Economics: Stochastic Views of Interacting Agents," UCLA Economics Online Papers 142, UCLA Department of Economics. 2001.
Ashkenazi-Golan G., Confession and pardon in repeated games with communication, Mimeo, 2004.
Aumann, Robert J, "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), 1985 p. 599-612,
Benoit J.P., Krishna V., Folk Theorem for Finitely Repeated Games: Benoit-Krishna (1985), Econometrica 53, 1985, pp. 905–92
Benoit J.P., Krishna V., Renegotiation in finitely repeated games, Econometrica 61 , 1993, pp. 303–323
Bernheim B. D., Whinston, M. D. "Multimarket Contact and Collusive Behavior," RAND Journal of Economics, The RAND Corporation, vol. 21(1), 1990 p. 1-26,
Bhaskar V., Obara I., Belief-based equilibria in the prisoners’ dilemma with private monitoring, J. Econ. Theory 102 ,2002, p. 16–39.
Busch, L-A.,Q.Wen, Perfect Equilibria in a Negotiation Model," Econometrica, 63, 1995, p. 545-65.
Compte O., Communication in repeated games with imperfect private monitoring, Econometrica 66 ,1998, 597– 626.
Ely J.C., Välimäki J., A robust folk theorem for the prisoner’s dilemma, J. Econ. Theory 102 (1) ,2002, 84–105.
Fearon J.D., Laitin D., Explaining interethnic cooperation. American Political Science Review 90 (December): ,1996, p. 715-35.
Fong. Y., Surti J. The optimal degree of cooperation in the repeated Prisoners’ Dilemma with side payments , Games and Economic Behavior YGAME:1606, 2008, p. 1-16,
Fudenberg D., Levine D.K., Efficiency and observability with long-run and short-run players, J. Econ. Theory 62 ,1994, p. 103–135.
Fudenberg D., Levine D.K., The Nash-threats folk theorem with communication and approximate common knowledge in two player games, J. Econ. Theory 132 , 2007, 461–473.
Fudenberg, D. and E. Maskin “The Folk Theorem in repeated games with discounting and with incomplete information”, Econometrica, 54, 1986, p. 533- 554.
Ghatak, M. & Guinnane, T. W., "The economics of lending with joint liability: theory and practice," Journal of Development Economics, 60 ,1999, p. 195-228.
Hömer J., Olszewski W., The folk theorem for games with private almost-perfect monitoring, Econometrica 74 ,2006, p. 1499–1544.
Kandori M., Matsushima H., Private observation, communication and collusion, Econometrica 66 ,1998, p. 627–652.
Lehrer, E., Pauzner, A., Repeated games with differential time preferences. Econometrica 67, 1999, p. 393–412
Mailath G.J., Morris S., Coordination failure in repeated games with almost-public monitoring, Theoret. Econ. 1 ,2006, p. 311–340.
Mailath G.J., Morris S., Repeated games with almost-public monitoring, J. Econ. Theory 102 (1) , 2002, p. 189–228.
Matsushima H., Repeated games with private monitoring: Two players, Econometrica 72 ,2004, p. 823–852.
McLean R., Obara I., Postlewaite A., Informational smallness and private monitoring in repeated games, Mimeo UCLA, 2005. Obara I., Folk theorem with communication, Journal of Economic Theory 144 , 2009, p. 120–134
Okada A. The possibility of cooperation in an n-person prisoners' dilemma with institutional arrangements, Public Choice, Volume 77, Number 3 / November, 1993, p. 629-656
Olson E., The logic of collective action. Cambridge: Harvard University Press. 1965.
Piccione, M. Finite Automata Equilibria with Discounting," Journal of Economic Theory, 56, 1992, p. 180-93.
Piccione, M., A. Rubinstein Finite Automata Play a Repeated Extensive Game," Journal of Economic Theory, 61, 1993, p. 160-8.
Roman, M, Marin, D, Stancu, S, Teoria jocurilor pentru economisti, Ed. ASE, Bucuresti, 2005
Roman, M. , Roman, M. , Fiscal System Competition and Inefficiency of Public Good Production, Economic Computation and Economic Cybernetics Studies and Reserch, vol. 36, no. 1-4, 2003, p. 77-87
Roman, M. Teoria Jocurilor si a negocierilor, Ed. AISTEDA, Bucuresti, 2000
Rubinstein, A. Finite Automata Play the Repeated Prisoner's Dilemma," Journal of Economic Theory, 39, 1986 ,p. 83-96. Rubinstein, A. Perfect Equilibrium in a Bargaining Model," Econo-metrica, 50, 1982, p. 97-109.
Rubinstein, A., Strong perfect equilibrium in supergames. Int. J. Game Theory 9, 1979, p. 1–12.
Sabourian, H. Bargaining and Markets: Complexity and the Competitive Outcome," Journal of Economic Theory Elsevier, vol. 116(2), 2004, p. 189-228
Thorsten, J.T., Lim J. J., Sticks and Carrots: Two Incentive Mechanisms Supporting Intra-Group Cooperation, in Economic Letters, 2009, p. 1-8
Wen, Q., The “folk theorem” for repeated games with complete information. Econometrica 62, 1994, p. 949–954.