Game theory and its role in determining optimal policies and strategic interaction between fiscal and monetary policymakers (Application of differential game theory and stackelberg games)

Document Type : Research Article


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In this study, we follow several purpose. In the first section, the game theory concept and the formation of its fundamental concepts is examined. After that, we investigate that how von Neumann-Morgenstern (1944) and john Nash (1950-1953) works, caused the formation of modern game theory. Then, we discussed that how game theory enter to macroeconomic modern space. The achievement of this area can be found in Kydland and Prescott (1977). On the other hand, we consider the importance of differential game. This theory plays an important role in the applicable of strategic interaction between fiscal and monetary policy. Hence by extend Tabellini model (1986) in stackellberg case by open loop and feedback information, the equilibrium model in Iranian economy is investigated. The results show that, converge speed in open loop case is higher than feedback case and also debt equilibrium in the feedback case is lower than open loop case. On the other hand, the result shows that in stackelberg game between government and central bank, the level of debt can be brought to the target level, and even with huge oil revenues, the government could impose policy to prevent the creation of much money by central bank.


عبدلی، قهرمان (1388)؛ تخمین نرخ تنزیل اجتماعی برای ایران، پژوهشنامه اقتصادی، سال 9، شماره 3، 156-135.
Aarle, B.; Bovenberg, L. and Raith, M. (1995); Monetary and fiscal policy interaction and government debt stabilization, Journal of Economics, 62, 111-140.
Aarle, B.; Bovenberg, L. and Raith, M. (1997); Is there a tragedy of a common Central Bank? A dynamic analysis. Journal of Economic Dynamics and Control, 21,417-447.
Alesina, A. and Tabellini, G. (1987); Rules and Discretion with No coordinated Monetary and Fiscal Policies. Economic Inquiry, 25(4), 619-630.
Barro, R. and Gordon, D. (1983); A Positive Theory of Monetary Policy in a Natural-Rate Model, Journal of Political Economy, 91(3), June, 589-610.
Barro, R. and Gorden, D. (1983); Rules, Discretion, and Reputation in a Model of Monetary Policy, Journal of Monetary Economics, 12, 20-101.
Bartolomeo, G. and Gioacchino, D. (2008); Fiscal-monetary policy coordination and debt management: a two-stage analysis, Empirica, 35, 433-448
Basar, T. and Olsder, G. (1999); Dynamic Non cooperative game theory. SIAM. Philadelphia.
Bauso, D. (2014); Game theory: models, numerical methods and applications, Foundations and Trends® in Systems and Control: Vol. 1: No. 4, 379-522.
Bohn, H. (1991); The Sustainability of Budget Deficits with Lump-Sum and with Income-Based Taxation, Journal of Money, Credit and Banking, Vol. 23, No. 3, 580-604.
Carmichael, F. (2005); A Guide to Game Theory, Published by Financial Times.
Collignon, S. (2012); Fiscal policy rules and the sustainability of public debt in Europe, International Economic Review, Vol. 53, No. 2, May 2012.
Darby, M. (1984); Some pleasant monetarist Arithmetic, Federal Reserve bank of Minneapolis Quarterly Review, vol 8 No 2.
Dimand, M. and Dimand, R. (1996); The history of game theory, volume 1, Routledge research.
Dixit, A. and Lambertini, L. (2000); Fiscal discretion destroys monetary commitment. Working paper, Princeton and UCLA.
Dixit, A. and Lambertini, L. (2003); Interactions of Commitment and Discretion in Monetary and Fiscal Policies. American Economic Review, 93(5): 1522-1542
Dockner, E.; Jergensen, S.; Van Long, N. and Sorger, G. (2000); Differential Games in Economics and Management Science, Cambridge University Press.
Engwerda, J. C. (2005); LQ Dynamic Optimization and Differential Games. John Wiley & Sons.
Engwerda, J.; Van Aarle, B.; Plasmans, J. and Weeren, A. (2013); Debt stabilization games in the presence of risk premia. Journal of Economic Dynamics & Control. 37, 2525-2546.
Friedman, J. W. (1992); The interaction between game theory and theoretical industrial economies, Scottish Journal of Political Econocy vol. 39(4), 353-73.
Friesz, T. (2010); Dynamic Optimization and Differential Games, Springer.
Issler, J. and Lima, L. (2000); Public debt sustainability and endogenous seigniorage in Brazil: time-series evidence from 1947–1992, Journal of Development Economics, Vol. 62, 131-147.
Kuhn, H.; Harsanyi, J.; Selten, R.; Weibull, J.; Van Damme, E. and Nash, J. (1994); The work of john Nash in game theory, Nobel Seminar.
Kydland, F. and Prescott, E. (1977); Rules Rather Than Discretion: The Inconsistency of Optimal Plans, Journal of Political Economy, 85, 473-490.
Lewin, J. (1994); Differential Games, Printed at the Alden Press, Oxford.
Maschler, M.; Solan, E. and Zamir, S. (2013); Game Theory, Cambridge University Press.
Miller, P. and Sargent, T. (1984); A reply to Darby, Federal Reserve bank of Minneapolis Quarterly Review, Vol 8, No 2.
Myerson, R. (1999); Nash Equilibrium and the History of Economic Theory, Journal of Economic Literature, 37(3): 1067-1082.
Nash, J. F. (1950); The bargaining problem. Econometrica18:155-162.
Nash, J. F. (1951); Noncooperative games. Annals of Mathematics 54:289-295.
Nash, J, F. (1953); Two-person cooperative games. Econometrica 21:128-140.
Neck, R. and Sturm, J. E. (2008). Sustainability of Public Debt, MIT Press, Cambridge, Massachusetts.
Osborne, M. and Rubinstein, A. (1994); A Course in Game Theory. MIT Press, Cambridge, MA.
Osborne, M. (2000); An Introduction to Game Theory, Oxford University Press.
Rogoff, K. (1985); The Optimal Degree of Commitment to an Intermediate Monetary Target, Quarterly Journal of Economics, 100(4), November, 1169-89.
Sargent, T. and Wallace, N. (1981); Some Unpleasant Monetarist Arithmetic, Federal Reserve Bank of Minneapolis Quarterly Review, 5(3), 1-17.
Sethi, S. and Thompson, J. (2006); Optimal control theory, Applications to Management Science and Economics springer.
Svensson, L. (1997); Optimal Inflation targets, 'Conservative' Central Banks, and Linear Inflation Contracts. American Economic Review, 87(1), March, 98-114.
Tabellini, G. (1986); Money, debt and deficits in a dynamic game, Journal of Economic Dynamics and Control 10, 427-442.
Togo, E. (2007); Coordinating Public Debt Management with Fiscal and Monetary Policies: An Analytical Framework, Policy Research Working paper 4369.
Van Long, N. (2010); A Survey of Dynamic Games in Economics, World Scientific Publishing.
Von Neumann, J. and Morgenstern, O. (1944); Theory of Games and Economic Behavior. Princeton University Press, Princeton, NJ.
Walsh, C. E. (1995); Optimal contracts for central bankers. American Economic Review 85, 150-167.
Watson, J. (2008); Nash, John Forbes (born 1928), From the New Palgrave Dictionary of Economics, Second Edition.