Roman, Mihai Daniel (2010): A game theoretic approach of war with financial influences. Published in: Proceedings of International conference NEW CHALLENGES IN THE FIELD OF MILITARY SCIENCES 2010 (28. September 2010): pp. 104-110.
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During history, an aggressive country seeks to force non-aggressive countries to made many concessions based on military force. In our paper we discuss the situation that one aggressive country is dissatisfied with its current position and try to obtain more concessions from a rival country. To analyze this situation we use a game theory dynamic model in complete and incomplete information. We analyze the countries behavior depending especially on aggressive or non-aggressive strategies and also on battle power. In this context we found conditions to obtain separating and pooling equilibriums for dynamic games in incomplete information. Main result shows that countries behavior depends especially on war costs and on country military power. There are many applications of these types of models, like in Israel - Palestinian war, recent Russian- Georgian conflict or US defense policy.
|Item Type:||MPRA Paper|
|Original Title:||A game theoretic approach of war with financial influences|
|Keywords:||War, Negotiation Game, Repeated Game, Bargaining, Folk theorem, Bounded Rationality|
|Subjects:||C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C78 - Bargaining Theory ; Matching Theory
H - Public Economics > H5 - National Government Expenditures and Related Policies > H56 - National Security and War
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:||27. Apr 2012 00:18|
|Last Modified:||24. Sep 2015 13:17|
Abreu, D. , Pearce, D., Stacchetti, E., Optimal cartel equilibria with imperfect monitoring, J. Econ. Theory 39 (1986) 251–269.
Abreu, D. , Pearce, D., Stacchetti, E., Towards a theory of discounted repeated games with imperfect monitoring,, Econometrica 58 (1990) 1041–1063.
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.
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,
Busch, L-A.,Q.Wen, Perfect Equilibria in a Negotiation Model," Econometrica, 63, 1995, p. 545-65.
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.
Fudenberg, D., Levine, D. , Continuous time limits of repeated games with imperfect public monitoring, Rev. Econ. Dynam. 10 (2007) 173–192.
Ghatak, M. & Guinnane, T. W., "The economics of lending with joint liability: theory and practice," Journal of Development Economics, 60 ,1999, p. 195-228.
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
Maoz, Z. 1990. Framing the National Interest: The Manipulation of Foreign Policy Decisions in Group Settings, World Politics, 43(1): 77-110.
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
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.
Rapoport, A., Guyer, M., 1966. A taxonomy of 2 x 2 games. Gen. Syst. 11, 203-214.
Roman, M. - Enterprises behavior in cooperative and punishment ‘s repeated negotiations, Journal of Applied Quantitative Methods, no. 1/2009, pag. 1-16
Roman, M. , Roman, M. , Fiscal System Competition and Inefficiency of Public Good Production, Economic Computation and Economic Cybernetics Studies and Research, vol. 36, no. 1-4, 2003, p. 77-87
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
Sannikov, Y. , A continuous-time version of the principal–agent problem, Rev. Econ. Stud. 3 (2008) 957–984.
Sannikov, Y., Games with imperfectly observable information in continuous time, Econometrica 75 (2007) 1285– 1329.
Sannikov, Y., Skrzypacz, A., The role of information in repeated games with frequent action, Econometrica (2010), in press.
Schelling, T.C., Arms and Influence, Yale University Press, New Haven, 1966.
Sexton, T. R., Young, D.R, Game tree analysis of international crises, Journal of Policy Analysis and Management, Volume 4, Issue 3, pages 354–369, 1985
Synder, G.H. and P. Diesing (1977). Conflict among Nations: Bargaining, Decision Making and System Structure in International Crises. Princeton, New Jersey: Princeton University Press.
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
Yared P., A dynamic theory of war and peace, J. Econ. Theory (2010),doi:10.1016/j.jet.2010.04.005
Zagare, F.C. “A Game-Theoretic Analysis of the Vietnam Negotiations: Preferences and Strategies, 1968- 1973,” Journal of Conflict Resolution, 21, number 4 (December 1977), pp. 663 – 84.