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  • Tzanis Anevlavis (a1), George Papavassilopoulos (a1), Jacob Engwerda (a2) and Bas van Aarle (a3)

This paper focuses on the possibility that financial markets require risk premia on holding sovereign debt of countries that appear vulnerable from a fiscal sustainability perspective. Both the level of debt as well as the rate of change of debt are assumed to impact on the risk premium. We analyze the impact of such an endogenous risk premium in a simple debt game between a monetary and a fiscal player, as introduced by [Tabellini (1986) Journal of Economic Dynamics and Control 10, 427–442]. The risk premium term adds a nonlinearity to the linear model in case risk premia are absent. We analyze outcomes in case of noncooperative open-loop Nash strategies and in case of cooperative strategies and consider the workings of the risk premium as a market-based disciplining device (in case of high debt) and adjustment rewarding device (in case of a declining debt trajectory).

Corresponding author
Address correspondence to: Jacob Engwerda, Department of Econometrics and O.R., Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands; e-mail:
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We would like to thank two anonymous referees, Guido Tabellini and seminar participants of the 17th ISDG conference for useful comments on a first version of the paper.

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Alessandrini P., Fratianni M., Hallett A. Hughes, and Presbitero A. (2014) External imbalances and fiscal fragility in the Euro Area. Open Economies Review 25, 334.
Baldacci E. and Kumar M. (2012) Fiscal Deficits, Public Debt, and Sovereign Bond Yields. IMF working paper 10/184.
Başar T. and Olsder G. J. (1999) Dynamic Noncooperative Game Theory. Philadelphia: SIAM.
Bayoumi T., Goldstein M., and Woglom G. (1995) Do credit markets discipline sovereign borrowers? Evidence from U.S. states. Journal of Money, Credit and Banking 27 (4), 10461059.
Bernoth K., von Hagen J., and Schuknecht L. (2013) Sovereign risk premiums in the European govesrnment bond market. Journal of International Money and Finance 31, 975995.
Bikchandani S. and Sharma S. (2001) Herd behavior in financial markets. IMF Staff Papers 47 (3), 279310.
Blanchard O., Chouraqui J., Hangemann R., and Sartor N. (1990) The sustainability of fiscal policy: New answers to an old question. OECD Economic Studies 15 (1), 736.
Blueschke D. and Neck R. (2011) “Core” and “Periphery” in a monetary union: A macroeconomic policy game. International Advances in Economic Research 17, 334346.
Castren O. (1998) Optimal fiscal and monetary policy under debt reduction programmes. Fiscal-Monetary Policy Coordination and Central Bank Independence. Ph.D. thesis, Bank of Finland Studies E:13, 1998 (Chapter 4).
Cooper L. (2013) Herding behaviour in financial markets.
Day R. (2000) Complex Economic Dynamics, vol. 2. London: MIT Press.
De Grauwe P. and Ji Y. (2012) Mispricing of Sovereign Risk and Multiple Equilibria in the Eurozone. CEPS working paper 361.
Di Bartolomeo G. and Di Gioacchino D. (2008) Fiscal-monetary policy coordination and debt management: A two-stage analysis. Empirica 35, 433448.
Domar E. (1944) The “Burden of the Debt” and the national income. American Economic Review 34 (4), 798827.
Engwerda J. C. (2005) LQ Dynamic Optimization and Differential Games. Chichester: John Wiley & Sons.
Engwerda J. C. (2010) Necessary and sufficient conditions for Pareto optimal solutions of cooperative differential games. SIAM Journal on Control and Optimization 48, 38593881.
Engwerda J., van Aarle B., Plasmans J., and Weeren A. (2013) Debt stabilization games in the presence of risk premia. Journal of Economic Dynamics and Control 37, 25252546.
Engwerda J. C., Mahmoudinia D., and Isfahani R. D. (2016) Government and central bank interaction under uncertainty: A differential games approach. Iranian Economic Review 20, 225259.
Engwerda J., van Aarle B., Weeren A., and Plasmans J. (2015) Debt stabilization games in a monetary union with endogenous risk premia. In Wohlgemuth N. and Bluschke D. (eds.), Festschrift für Reinhard Neck zum 65. Geburtstag, pp. 149180. Peter Lang: Frankfurt.
Figuieres C. (2008) European Central Bank, international strategic relations and the stabilisation of debt. Recherches Economiques de Louvain 74 (2), 167190.
Foresti P. (2017) Monetary and fiscal policies interaction in monetary unions. Journal of Economic Surveys. doi: 10.1111/joes.12194
Ghosh A., Kim J., Mendoza E., Ostry J., and Qureshi M. (2013) Fiscal fatigue, fiscal space and debt sustainability in advanced economies. The Economic Journal 123, F4F30.
von Hagen J., Schuknecht L., and Wolswijk G. (2011) Government bond risk premiums in the EU revisited: The impact of the financial crisis. European Journal of Political Economy 27, 3643.
Haugh D., Ollivaud P., and Turner D. (2009) What Drives Sovereign Risk Premiums?: An Analysis of Recent Evidence from the Euro Area. OECD Economics Department working papers no. 718.
Heinemann F., Osterloh S., and Kalb A. (2014) Sovereign risk premia: The link between fiscal rules and stability culture. Journal of International Money and Finance 41, 110127.
Hughes Hallett A. (1986) Autonomy and the choice of policy in asymmetrically dependent economies. An investigation of the gains from international policy co-ordination. Oxford Economic Papers 38, 516544.
Hughes Hallett A. and Weymark D. (2007) Fiscal leadership and central bank design. Journal of Canadian Economics 40 (2), 607627.
Hughes Hallett A. J. (2008) Debt targets and fiscal sustainability in an era of monetary independence. International Economics and Economic Policy 5 (1), 165187.
Irving R. S. (2004) Integers, Polynomials, and Rings. Berlin: Springer-Verlag.
Leeper E. M. (1991) Equilibria under “active” and “passive” monetary and fiscal policies. Journal of Monetary Economics 27, 129147.
Lukkezen J. and Rojas-Romagosa H. (2012) When is Debt Sustainable? CPB discussion paper 212, CPB Netherlands Bureau for Economic Policy Analysis.
Neck R. and Sturm J. E. (2008) Sustainability of Public Debt. Cambridge, Massachusetts: MIT Press.
Reddy P. V. and Engwerda J. C. (2014) Necessary and sufficient conditions for Pareto Optimality in infinite horizon cooperative differential games. IEEE Transactions on Automatic Control 59, 25362543.
Reinhart C. M. and Rogoff K. (2010) Growth in times of debt. American Economic Review 100, 573578.
Sargent T. J. and Wallace N. (1981) Some unpleasant monetarist arithmetic. Federal Reserve Bank of Minneapolis Quarterly Review, Fall, pp. 117.
Staehler N. (2013) Recent developments in quantitative models of sovereign default. Journal of Economic Surveys 27 (4), 605633.
Tabellini G. (1986) Money, debt and deficits in a dynamic game. Journal of Economic Dynamics and Control 10, 427442.
Unctad, 2009. Compendium on Debt Sustainability and Development. United Nations, New York and Geneva, pp. 1–218.
van 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 (2–3), 417447.
van den Broek B. (2002) Moving horizon control in dynamic games. Journal of Economic Dynamics and Control 26 (6), 937961.
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Macroeconomic Dynamics
  • ISSN: 1365-1005
  • EISSN: 1469-8056
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