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

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  • Dutta, Prajit K
  • Rustichini, Aldo

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.

Suggested Citation

  • Dutta, Prajit K & Rustichini, Aldo, 1993. "A Theory of Stopping Time Games with Applications to Product Innovations and Asset Sales," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 743-763, October.
  • Handle: RePEc:spr:joecth:v:3:y:1993:i:4:p:743-63
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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, vol. 5(1), pages 1-47, September.
    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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