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A Theory of stopping Time Games with Applications to Product Innovations and Asset Sales

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  • Dutta, P.K.
  • Rustichini, A.

Abstract

In this paper, the pure strategy sub game perfect equilibria of a general class of stopping time games are studied. It is shown that there always exists a natural class of Markov Perfect Equilibria, called stopping equilibria. Such equilibria can be computed as a solution of a single agent stopping time problem, rather than of a fixed point problem. A complete characterization of stopping equilibria is presented. Conditions are given under which the outcomes of such equilibria span the set of all possible outcomes from perfect equilibria. Two economic applications of the theory, product innovations and the timing of asset sales, are discussed.
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Suggested Citation

  • Dutta, P.K. & Rustichini, A., 1991. "A Theory of stopping Time Games with Applications to Product Innovations and Asset Sales," RCER Working Papers 263, University of Rochester - Center for Economic Research (RCER).
  • Handle: RePEc:roc:rocher:263
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    References listed on IDEAS

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    1. Dutta, P.K. & Rustichini, A. & Lach, S., 1991. "Innovation and Product Differentiation," RCER Working Papers 262, University of Rochester - Center for Economic Research (RCER).
    2. Mansfield, Edwin & Schwartz, Mark & Wagner, Samuel, 1981. "Imitation Costs and Patents: An Empirical Study," Economic Journal, Royal Economic Society, vol. 91(364), pages 907-918, December.
    3. Stinchcombe, Maxwell B., 1992. "Maximal strategy sets for continuous-time game theory," Journal of Economic Theory, Elsevier, vol. 56(2), pages 235-265, April.
    4. Prajit K. Dutta, 1990. "Innovation and Product Differentiation," Discussion Papers 894, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Jovanovic, Boyan & Rob, Rafael, 1990. "Long Waves and Short Waves: Growth through Intensive and Extensive Search," Econometrica, Econometric Society, vol. 58(6), pages 1391-1409, November.
    6. Tom Lee & Louis L. Wilde, 1980. "Market Structure and Innovation: A Reformulation," The Quarterly Journal of Economics, Oxford University Press, vol. 94(2), pages 429-436.
    7. Dixit, Avinash K, 1989. "Entry and Exit Decisions under Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 620-638, June.
    8. Shaked, Avner & Sutton, John, 1983. "Natural Oligopolies," Econometrica, Econometric Society, vol. 51(5), pages 1469-1483, September.
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    Citations

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    Cited by:

    1. Helen Weeds, 2002. "Strategic Delay in a Real Options Model of R&D Competition," Review of Economic Studies, Oxford University Press, vol. 69(3), pages 729-747.
    2. Dutta, Prajit K & Lach, Saul & Rustichini, Aldo, 1995. "Better Late Than Early: Vertical Differentiation in the Adoption of a New Technology," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(4), pages 563-589, Winter.
    3. Bobtcheff, Catherine & Mariotti, Thomas, 2012. "Potential competition in preemption games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 53-66.
    4. Arasteh, Abdollah, 2017. "Considering the investment decisions with real options games approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 72(C), pages 1282-1294.
    5. Regibeau Pierre M & Rockett Katharine E, 2006. "Administrative Delays as Barriers to Trade," The B.E. Journal of Economic Analysis & Policy, De Gruyter, pages 1-47.
    6. Riedel, Frank & Steg, Jan-Henrik, 2017. "Subgame-perfect equilibria in stochastic timing games," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 36-50.
    7. Steven R. Grenadier, 2000. "Option Exercise Games: The Intersection Of Real Options And Game Theory," Journal of Applied Corporate Finance, Morgan Stanley, vol. 13(2), pages 99-107.
    8. Zhang, Heng & Yang, Ming & Bao, Jiye & Gong, Pu, 2013. "Competitive investing equilibrium under a procurement mechanism," Economic Modelling, Elsevier, vol. 31(C), pages 734-738.
    9. repec:bpj:bejtec:v:18:y:2018:i:1:p:15:n:14 is not listed on IDEAS
    10. Smirnov, Vladimir & Wait, Andrew, 2015. "Innovation in a generalized timing game," International Journal of Industrial Organization, Elsevier, vol. 42(C), pages 23-33.
    11. Jan-Henrik Steg, 2015. "Symmetric Equilibria in Stochastic Timing Games," Papers 1507.04797, arXiv.org.
    12. Ronnie J. Phillips & David Nickerson, 2011. "Underwriting in Property-Casualty Insurance Markets: Regulation, Risk and Volatility," NFI Working Papers 2011-WP-19, Indiana State University, Scott College of Business, Networks Financial Institute.
    13. Flavia Cortelezzi & Giovanni Villani, 2007. "Strategic Technology Adoption and Market Dynamics as Option Games," Quaderni DSEMS 14-2007, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
    14. Regibeau, Pierre & Rockett, Katherine E., 1996. "The timing of product introduction and the credibility of compatibility decisions," International Journal of Industrial Organization, Elsevier, vol. 14(6), pages 801-823, October.
    15. Boyarchenko, Svetlana & Levendorskiĭ, Sergei, 2014. "Preemption games under Lévy uncertainty," Games and Economic Behavior, Elsevier, vol. 88(C), pages 354-380.
    16. Rossella Argenziano & Philipp Schmidt-Dengler, 2014. "Clustering In N-Player Preemption Games," Journal of the European Economic Association, European Economic Association, vol. 12(2), pages 368-396, 04.

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