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Two state capital accumulation with heterogenous products: Disruptive vs. non-disruptive goods

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Author Info

  • Caulkins, Jonathan P.
  • Feichtinger, Gustav
  • Grass, Dieter
  • Hartl, Richard F.
  • Kort, Peter M.

Abstract

The paper considers the problem of a firm that, while producing a standard product, has the option to introduce an innovative product. The innovative product competes with the standard product and will therefore reduce revenues of the standard product. A distinction is made between innovative products that do or do not become even more relatively appealing as their market share grows (e.g., because of network externalities). It is shown that in the former case, which we call a "disruptive" good, history dependent long run equilibria can occur, which are in line with recent real life economic examples.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 35 (2011)
Issue (Month): 4 (April)
Pages: 462-478

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Handle: RePEc:eee:dyncon:v:35:y:2011:i:4:p:462-478

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Web page: http://www.elsevier.com/locate/jedc

Related research

Keywords: Investment Product innovation Maximum principle Skiba curve;

References

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  1. W.-J. Beyn, T. Pampel, W.Semmler, 2001. "Dynamic optimization and Skiba sets in economic examples," Computing in Economics and Finance 2001 29, Society for Computational Economics.
  2. Qiu, Larry D., 1997. "On the Dynamic Efficiency of Bertrand and Cournot Equilibria," Journal of Economic Theory, Elsevier, vol. 75(1), pages 213-229, July.
  3. Barucci, Emilio, 1998. "Optimal Investments with Increasing Returns to Scale," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(3), pages 789-808, August.
  4. Davidson, Russell & Harris, Richard, 1981. "Non-Convexities in Continuous-Time Investment Theory," Review of Economic Studies, Wiley Blackwell, vol. 48(2), pages 235-53, April.
  5. Haunschmied, Josef L. & Kort, Peter M. & Hartl, Richard F. & Feichtinger, Gustav, 2003. "A DNS-curve in a two-state capital accumulation model: a numerical analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 27(4), pages 701-716, February.
  6. Dechert, W. Davis, 1983. "Increasing returns to scale and the reverse flexible accelerator," Economics Letters, Elsevier, vol. 13(1), pages 69-75.
  7. Kiseleva, T. & Wagener, F.O.O., 2009. "Bifurcations of optimal vector fields in the shallow lake model," CeNDEF Working Papers 09-12, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  8. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75, pages 321.
  9. 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.
  10. Wagener, F. O. O., 2003. "Skiba points and heteroclinic bifurcations, with applications to the shallow lake system," Journal of Economic Dynamics and Control, Elsevier, vol. 27(9), pages 1533-1561, July.
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Citations

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Cited by:
  1. Grass, D., 2012. "Numerical computation of the optimal vector field: Exemplified by a fishery model," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1626-1658.
  2. Dawid, Herbert & Kopel, Michael & Kort, Peter M., 2013. "New product introduction and capacity investment by incumbents: Effects of size on strategy," European Journal of Operational Research, Elsevier, vol. 230(1), pages 133-142.
  3. Privileggi, Fabio, 2013. "Takeoff vs. Stagnation in Endogenous Recombinant Growth Models," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201338, University of Turin.

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