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Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate

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  • Tyrrell Rockafellar, R.

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  • Tyrrell Rockafellar, R., 1976. "Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate," Journal of Economic Theory, Elsevier, vol. 12(1), pages 71-113, February.
    • Handle: RePEc:eee:jetheo:v:12:y:1976:i:1:p:71-113
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    1. Venditti Alain, 2019. "Competitive equilibrium cycles for small discounting in discrete-time two-sector optimal growth models," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 23(4), pages 1-14, September.
    2. Alain Venditti, 2012. "Weak concavity properties of indirect utility functions in multisector optimal growth models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(1), pages 13-26, March.
    3. Martinez-Garcia, Maria Pilar, 2003. "The general instability of balanced paths in endogenous growth models: the role of transversality conditions," Journal of Economic Dynamics and Control, Elsevier, vol. 27(4), pages 599-618, February.
    4. Venditti, Alain, 1997. "Strong Concavity Properties of Indirect Utility Functions in Multisector Optimal Growth Models," Journal of Economic Theory, Elsevier, vol. 74(2), pages 349-367, June.
    5. Bosi, Stefano & Magris, Francesco & Venditti, Alain, 2005. "Competitive equilibrium cycles with endogenous labor," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 325-349, April.
    6. Russell P. Boisjoly, 1978. "Default Risk and the Theory of the Firm," The American Economist, Sage Publications, vol. 22(1), pages 26-32, March.
    7. W. A. Brock, 1977. "Applications of Recent Results on the Asymptotic Stability of Optimal Control to the Problem of Comparing Long Run Equilibria," Discussion Papers 274, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    8. Bisin, Alberto & Horst, Ulrich & Ozgur, Onur, 2006. "Rational expectations equilibria of economies with local interactions," Journal of Economic Theory, Elsevier, vol. 127(1), pages 74-116, March.
    9. Nishimura, Kazuo & Pelgrin, Florian & Venditti, Alain, 2025. "Business cycles fluctuations in three-sector intertemporal equilibrium models," Journal of Economic Theory, Elsevier, vol. 226(C).
    10. Yacov Tsur & Amos Zemel, 2017. "Steady state properties of multi‐state economic models," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 50(2), pages 506-521, May.
    11. Montrucchio, Luigi, 1995. "A turnpike theorem for continuous-time optimal-control models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 599-619, April.
    12. Lars J. Olson & Santanu Roy, 2006. "Theory of Stochastic Optimal Economic Growth," Springer Books, in: Rose-Anne Dana & Cuong Le Van & Tapan Mitra & Kazuo Nishimura (ed.), Handbook on Optimal Growth 1, chapter 11, pages 297-335, Springer.
    13. David Lagziel & Ehud Lehrer, 2024. "Performance cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(4), pages 999-1024, June.
    14. Freni, Giuseppe & Gozzi, Fausto & Pignotti, Cristina, 2008. "Optimal strategies in linear multisector models: Value function and optimality conditions," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 55-86, January.
    15. M. Marena & L. Montrucchio, 1999. "Neighborhood Turnpike Theorem for Continuous-Time Optimization Models," Journal of Optimization Theory and Applications, Springer, vol. 101(3), pages 651-676, June.
    16. Boldrin Michele & Montrucchio Luigi, 1995. "Acyclicity and Dynamic Stability: Generalizations and Applications," Journal of Economic Theory, Elsevier, vol. 65(2), pages 303-326, April.
    17. Guerrero-Luchtenberg, C.L., 2000. "A uniform neighborhood turnpike theorem and applications," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 329-357, November.
    18. De Mello, L. Jr., 1995. "Vintage capital accumulation: Endogenous growth conditions," Journal of Macroeconomics, Elsevier, vol. 17(4), pages 703-716.
    19. Pedro de Mendonça, 2013. "Nonlinear Phenomena in a Growing Economy with Convex Adjustment Costs," EERI Research Paper Series EERI RP 2013/05, Economics and Econometrics Research Institute (EERI), Brussels.
    20. Haurie, A., 1995. "Time scale decomposition in production planning for unreliable flexible manufacturing systems," European Journal of Operational Research, Elsevier, vol. 82(2), pages 339-358, April.
    21. Engelbert Dockner & Gustav Feichtinger, 1991. "On the optimality of limit cycles in dynamic economic systems," Journal of Economics, Springer, vol. 53(1), pages 31-50, February.
    22. Tapan Mitra, 2005. "Characterization of the turnpike property of optimal paths in the aggregative model of intertemporal allocation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(4), pages 247-275, December.
    23. Giorgi Giorgio, 2018. "A Classroom Note on Twice Continuously Differentiable Strictly Convex and Strongly Quasiconvex Functions," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(3), pages 42-52, June.
    24. Willi Semmler & Malte Sieveking, 1994. "On the optimal exploitation of interacting resources," Journal of Economics, Springer, vol. 59(1), pages 23-49, February.
    25. Frédéric Babonneau & Alain Haurie & Marc Vielle, 2025. "A robust infinite-horizon optimal control approach to climate economics," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 33(2), pages 499-528, June.

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