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Non-Linear Strategies in a Linear Quadratic Differential Game

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  • Colin Rowat

Abstract

See Birmingham Discussion Paper 05-05R (January 2006) for current version.

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Bibliographic Info

Paper provided by Department of Economics, University of Birmingham in its series Discussion Papers with number 05-05.

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Length: 29 pages
Date of creation: Jan 2005
Date of revision:
Handle: RePEc:bir:birmec:05-05

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Postal: Edgbaston, Birmingham, B15 2TT
Web page: http://www.economics.bham.ac.uk
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Related research

Keywords: Differential game; Non-Linear Strategies; Catching up Optimal; Folk Theorem;

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References

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  1. Karp, Larry, 1996. "Depreciation erodes the Coase Conjecture," European Economic Review, Elsevier, vol. 40(2), pages 473-490, February.
  2. Mäler, K-G. & Xepapadeas, A. & Zeeuw, A.J. de, 2003. "The economics of shallow lakes," Open Access publications from Tilburg University urn:nbn:nl:ui:12-123314, Tilburg University.
  3. Wirl, Franz & Dockner, Engelbert, 1995. "Leviathan governments and carbon taxes: Costs and potential benefits," European Economic Review, Elsevier, vol. 39(6), pages 1215-1236, June.
  4. Feichtinger, Gustav & Wirl, Franz, 1993. "A Dynamic Variant of the Battle of the Sexes," International Journal of Game Theory, Springer, vol. 22(4), pages 359-80.
  5. Colin Rowat, 2005. "Non-Linear Strategies in a Linear Quadratic Differential Game," Discussion Papers 05-05, Department of Economics, University of Birmingham.
  6. Maria Luisa Gota & Luigi Montrucchio, 1999. "On Lipschitz continuity of policy functions in continuous-time optimal growth models," Economic Theory, Springer, vol. 14(2), pages 479-488.
  7. Tsutsui, Shunichi O., 1996. "Capacity constraints and voluntary output cutback in dynamic Cournot competition," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1683-1708.
  8. Dockner, Engelbert J. & Sorger, Gerhard, 1996. "Existence and Properties of Equilibria for a Dynamic Game on Productive Assets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 209-227, October.
  9. Dutta, Prajit K & Sundaram, Rangarajan K, 1993. "The Tragedy of the Commons?," Economic Theory, Springer, vol. 3(3), pages 413-26, July.
  10. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329.
  11. Rubio, Santiago J. & Casino, Begona, 2002. "A note on cooperative versus non-cooperative strategies in international pollution control," Resource and Energy Economics, Elsevier, vol. 24(3), pages 251-261, June.
  12. LE VAN, Cuong & MORHAIM, Lisa, 2001. "Optimal growth models with bounded or unbounded returns: a unifying approach," CORE Discussion Papers 2001034, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  13. Seierstad, Atle & Sydsaeter, Knut, 1977. "Sufficient Conditions in Optimal Control Theory," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 367-91, June.
  14. Wirl, Franz, 2007. "Do multiple Nash equilibria in Markov strategies mitigate the tragedy of the commons?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3723-3740, November.
  15. Vencatachellum, Desire, 1998. "Endogenous growth with strategic interactions," Journal of Economic Dynamics and Control, Elsevier, vol. 23(2), pages 233-254, September.
  16. Tsutsui, Shunichi & Mino, Kazuo, 1990. "Nonlinear strategies in dynamic duopolistic competition with sticky prices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 136-161, October.
  17. Dockner Engelbert J. & Van Long Ngo, 1993. "International Pollution Control: Cooperative versus Noncooperative Strategies," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 13-29, July.
  18. Lockwood, Ben, 1996. "Uniqueness of Markov-perfect equilibrium in infinite-time affine-quadratic differential games," Journal of Economic Dynamics and Control, Elsevier, vol. 20(5), pages 751-765, May.
  19. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
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Citations

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Cited by:
  1. Dockner, E.J. & Wagener, F.O.O., 2013. "Markov–Perfect Nash Equilibria in Models With a Single Capital Stock (Revised version, March 2013)," CeNDEF Working Papers 13-03, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  2. Siciliani, Luigi & Rune Straume, Odd & Cellini, Roberto, 2013. "Quality competition with motivated providers and sluggish demand," Journal of Economic Dynamics and Control, Elsevier, vol. 37(10), pages 2041-2061.
  3. Franz Wirl, 2009. "Non-cooperative investment in partnerships and their termination," Central European Journal of Operations Research, Springer, vol. 17(4), pages 479-494, December.
  4. Fujiwara, Kenji, 2008. "Duopoly can be more anti-competitive than monopoly," Economics Letters, Elsevier, vol. 101(3), pages 217-219, December.
  5. Colin Rowat, 2005. "Non-linear strategies in a linear quadratic differential game," GE, Growth, Math methods 0502001, EconWPA.
  6. Rémy Dullieux & Lionel Ragot & Katheline Schubert, 2011. "Carbon tax and OPEC's rents under a ceiling constraint," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00976591, HAL.
  7. Wang, Hefei, 2012. "Costly information transmission in continuous time with implications for credit rating announcements," Journal of Economic Dynamics and Control, Elsevier, vol. 36(9), pages 1402-1413.
  8. Hans Gersbach & Noemi Hummel & Ralph Winkler, 2011. "Sustainable Climate Treaties," CER-ETH Economics working paper series 11/146, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
  9. Dina Tasneem & Jim Engle-Warnick & Hassan Benchekroun, 2014. "An Experimental Study of a Common Property Renewable Resource Game in Continuous Time," CIRANO Working Papers 2014s-09, CIRANO.

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