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Stochastic games in economics: the lattice-theoretic approach

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  • AMIR, Rabah

Abstract

This chapter considers a recent trend in the application of stochastic games to economics characterized by the use of the lattice-theoretic approach to capture the monotonic properties of Markovian equilibria. The topics covered are: (i) a general framework for discounted stochastic games with Liptchitz-continuous and monotone equilibrium strategies and values, (ii) a model of capital accumulation, (iii) two classes of games with perfect information, in strategic bequests and oligopoly with commitment. In view of the restriction to pure-strategy equilibria and of the natural monotonicity property of strategies and value functions in most economic applications, this approach appears most promising.
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Suggested Citation

  • AMIR, Rabah, 2003. "Stochastic games in economics: the lattice-theoretic approach," LIDAM Reprints CORE 1663, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:1663
    DOI: 10.1007/978-94-010-0189-2_29
    Note: In : A. Neyman and S. Sorin (eds.), Stochastic Games and Applications. Dordrecht, Kluwer Academic Publishers, 443-453, 2003
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    Cited by:

    1. AMIR, Rabah, 2001. "Stochastic games in economics and related fields: an overview," LIDAM Discussion Papers CORE 2001060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. repec:luc:wpaper:16-22 is not listed on IDEAS
    3. Piotr Szajowski, 2006. "Constructions of Nash Equilibria in Stochastic Games of Resource Extraction with Additive Transition Structure," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(2), pages 239-260, May.
    4. Elena M. Parilina & Alessandro Tampieri, 2018. "Stability and cooperative solution in stochastic games," Theory and Decision, Springer, vol. 84(4), pages 601-625, June.
    5. Akihiko Yanase, 2005. "Pollution Control in Open Economies: Implications of Within-period Interactions for Dynamic Game Equilibrium," Journal of Economics, Springer, vol. 84(3), pages 277-311, May.
    6. Laussel, Didier & Resende, Joana, 2014. "Dynamic price competition in aftermarkets with network effects," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 106-118.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives

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