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Time Consistency and Optimal-Trajectory-Subgame Consistent Economic Optimization

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Book cover Subgame Consistent Economic Optimization

Abstract

The noncooperative games discussed in Chap. 2 fail to reflect all the facets of optimal behavior in n-person market games. In particular, equilibria in noncooperative games do not take into consideration Pareto efficiency or group optimality. Chapter 3 considers cooperation in economic optimization and it is shown that group optimality and individual rationality are two essential properties for cooperation. However, merely satisfying group optimality and individual rationality does not necessarily bring about a dynamically stable solution in economic cooperation because there is no guarantee that the agreed-upon optimality principle is fulfilled throughout the cooperative period. In this chapter we consider dynamically stable economic optimization.

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References

  • Filar, J.A., Petrosjan, L.A.: Dynamic cooperative games. Int. Game Theory Rev. 2(1), 47–65 (2000)

    Article  MathSciNet  Google Scholar 

  • Haurie, A.: A note on nonzero-sum differential games with bargaining solutions. J. Optim. Theory Appl. 18, 31–39 (1976)

    Article  MathSciNet  Google Scholar 

  • Jørgensen, S., Zaccour, G.: Time consistent side payments in a dynamic game of downstream pollution. J. Econ. Dyn. Control 25, 1973–1987 (2001)

    Article  MathSciNet  Google Scholar 

  • Petrosyan, L.A.: Stability of solutions of nonzero sum differential games with many participants. Vestn. Leningr. Univ. 19, 6–52 (1977)

    Google Scholar 

  • Petrosyan, L.A., Danilov, N.N.: Stability of solutions in non-zero sum differential games with transferable payoffs. Vestn. Leningr. Univ. 1, 52–59 (1979)

    MATH  Google Scholar 

  • Petrosyan, L.A., Danilov, N.N.: Cooperative differential games and their applications. Izd. Tomskogo University, Tomsk (1982)

    Google Scholar 

  • Petrosyan, L.A.: The regularization of NB-scheme in differential games. Dyn. Control 5, 31–35 (1995)

    Article  MathSciNet  Google Scholar 

  • Petrosyan, L.A.: Agreeable solutions in differential games. Int. J. Math. Game Theory Algebr. 7, 165–177 (1997)

    MathSciNet  MATH  Google Scholar 

  • Petrosyan, L.A.: Bargaining in dynamic games. In: Petrosyan, L.A., Yeung, D.W.K. (eds.) ICM Millennium Lectures on Games, pp. 139–143. Springer, Berlin (2003)

    Chapter  Google Scholar 

  • Petrosyan, L.A., Zenkevich, N.A.: Game Theory. World Scientific, Singapore (1996)

    Book  Google Scholar 

  • Tolwinski, B., Haurie, A., Leitmann, G.: Cooperative equilibria in differential games. J. Math. Anal. Appl. 119, 182–202 (1986)

    Article  MathSciNet  Google Scholar 

  • Yeung, D.W.K.: Subgame consistent dormant-firm cartel. In: Haurie, A., Zaccour, G. (eds.) Dynamic Games and Applications, pp. 255–271. Springer, Berlin (2005)

    Chapter  Google Scholar 

  • Yeung, D.W.K.: Dynamically consistent cooperative solution in a differential game of transboundary industrial pollution. J. Optim. Theory Appl. 134, 143–160 (2007)

    Article  MathSciNet  Google Scholar 

  • Yeung, D.W.K., Petrosyan, L.A.: Proportional time-consistent solution in differential games. In: Yanovskaya, E.B. (ed.) International Conference on Logic, Game Theory and Social Choice, pp. 254–256. St Petersburg State University, St Petersburg (2001)

    Google Scholar 

  • Yeung, D.W.K., Petrosyan, L.A.: Subgame consistent cooperative solutions in stochastic differential games. J. Optim. Theory Appl. 120, 651–666 (2004)

    Article  MathSciNet  Google Scholar 

  • Yeung, D.W.K., Petrosyan, L.A.: Cooperative Stochastic Differential Games. Springer, New York (2006a)

    MATH  Google Scholar 

  • Yeung, D.W.K., Petrosyan, L.A.: Dynamically stable corporate joint ventures. Automatica 42, 365–370 (2006b)

    Article  MathSciNet  Google Scholar 

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Correspondence to David W. K. Yeung .

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Yeung, D.W.K., Petrosyan, L.A. (2012). Time Consistency and Optimal-Trajectory-Subgame Consistent Economic Optimization. In: Subgame Consistent Economic Optimization. Static & Dynamic Game Theory: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8262-0_4

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