Discontinuous Initial Value Problems for Funtional 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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- Jean-Michel Grandmont & P, A, Pintus & R, De Vilder, 1997.
"Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles,"
97-28, Centre de Recherche en Economie et Statistique.
- 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.
- 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).
- Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 1998.
"The perils of Taylor Rules,"
Departmental Working Papers
199831, Rutgers University, Department of Economics.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
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