Discontinuous Initial Value Problems for Functional Differential-Algebraic Equations of Mixed Type
We study the well-posedness of initial value problems for nonlinear functional differential-algebraic equations of mixed type. We are interested in solutions to such problems that admit a single jump discontinuity at time zero. We focus specially on the question whether unstable equilibria can be stabilized by appropriately choosing the size of the jump discontinuity. We illustrate our techniques by analytically studying an economic model for the interplay between inflation and interest rates. In particular, we investigate under which circumstances the central bank can prevent runaway inflation by appropriately hiking the interest rate.
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- GRANDMONT, Jean-Michel & PINTUS, Patrick & de VILDER, Robin, 1997.
"Capital-labor substitution and competitive nonlinear endogenous business cycles,"
CORE Discussion Papers
1997087, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
- Jean-Michel Grandmont & P, A, Pintus & R, De Vilder, 1997. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Working Papers 97-28, Centre de Recherche en Economie et Statistique.
- Benhabib, Jess & Schmitt-Grohé, Stephanie & Uribe, Martín, 1999.
"The Perils of Taylor Rules,"
CEPR Discussion Papers
2314, C.E.P.R. Discussion Papers.
- Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 1998. "The Perils of Taylor Rules," Working Papers 98-37, C.V. Starr Center for Applied Economics, New York University.
- Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 1998. "The perils of Taylor Rules," Departmental Working Papers 199831, Rutgers University, Department of Economics.
- Nourry, Carine & Venditti, Alain, 2001.
"Determinacy of Equilibrium in an Overlapping Generations Model with Heterogeneous Agents,"
Journal of Economic Theory,
Elsevier, vol. 96(1-2), pages 230-255, January.
- Nourry, C. & Vendetti, A., 1998. "Determinacy of Equilibrium in an Overlapping Generations Model with Heterogenous Agents," G.R.E.Q.A.M. 98a02, Universite Aix-Marseille III.
- Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448 Elsevier.
- Lloyd-Braga, Teresa & Nourry, Carine & Venditti, Alain, 2005.
"Indeterminacy in Dynamic Models: When Diamond Meets Ramsey,"
CEPR Discussion Papers
5255, C.E.P.R. Discussion Papers.
- Lloyd-Braga, Teresa & Nourry, Carine & Venditti, Alain, 2007. "Indeterminacy in dynamic models: When Diamond meets Ramsey," Journal of Economic Theory, Elsevier, vol. 134(1), pages 513-536, May.
- Benhabib, Jess, 2004. "Interest Rate Policy in Continuous Time with Discrete Delays," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(1), pages 1-15, February.
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