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Seeking Multiobjective Optimization in Uncertain, Dynamic Games

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Part of the Lecture Notes in Computer Science book series (LNAI,volume 3808)

Abstract

If the decisions of agents arise from the solution of general unconstrained problems, altruistic agents can implement effective problem transformations to promote convergence to attractors and draw these fixed points toward Pareto optimal points. In the literature, algorithms have been developed to compute optimal parameters for problem transformations in the seemingly more restrictive scenario of uncertain, quadratic games in which an agent’s response is induced by one of a set of potential problems. This paper reviews these developments briefly and proposes a convergent algorithm that enables altruistic agents to relocate the attractor at a point at which all agents are better off, rather than optimizing a weighted function of the agents’ objectives.

Keywords

  • Nash Equilibrium
  • Multiagent System
  • Dynamic Game
  • Stochastic Game
  • Iteration Function

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Bertsekas, D.P.: Nonlinear Programming. Athena Scientific, Belmont (1995)

    MATH  Google Scholar 

  2. Bowling, M., Jensen, R., Veloso, M.: A formalization of equilibria for multiagent planning. In: Proc. AAAI Workshop on Planning with and for Multiagent Systems (2002)

    Google Scholar 

  3. Bowling, M., Veloso, M.: Scalable learning in stochastic games. In: Proc. AAAI Workshop on Game Theoretic and Decision Theoretic Agents (2002)

    Google Scholar 

  4. Bowling, M., Veloso, M.: Existence of multiagent equilibria with limited agents. Journal of Artificial Intelligence Research (2004)

    Google Scholar 

  5. Camponogara, E., Jia, D., Krogh, B.H., Talukdar, S.N.: Distributed model predictive control. IEEE Control Systems Magazine 22(1), 44–52 (2002)

    CrossRef  Google Scholar 

  6. Camponogara, E.: On the convergence to and location of attractors of uncertain, dynamic games. In: Bazzan, A.L.C., Labidi, S. (eds.) SBIA 2004. LNCS (LNAI), vol. 3171, pp. 484–493. Springer, Heidelberg (2004)

    CrossRef  Google Scholar 

  7. Camponogara, E., Talukdar, S.N.: Designing communication networks to decompose network control problems. INFORMS Journal on Computing 17(2) (2005)

    Google Scholar 

  8. Fliege, J., Svaiter, B.F.: Steepest descent methods for multicriteria optimization. Mathematical Methods of Operations Research 51(3), 479–494 (2000)

    CrossRef  MATH  MathSciNet  Google Scholar 

  9. LaValle, S.: Planning Algorithms (2005), From http://msl.cs.uiuc.edu/~lavalle/

  10. LaValle, S.M.: Robot motion planning: a game-theoretic foundation. Algorithmica 26, 430–465 (2000)

    CrossRef  MATH  MathSciNet  Google Scholar 

  11. Talukdar, S.N., Camponogara, E.: Network control as a distributed, dynamic game. In: Proc. 34th Hawaii International Conference on System Sciences (2001)

    Google Scholar 

  12. Zheng, T., Liu, D.K., Wang, P.: Priority based dynamic multiple robot path planning. In: Proc. 2nd Int. Conf. on Autonomous Robots and Agents (2004)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Camponogara, E., Zhou, H. (2005). Seeking Multiobjective Optimization in Uncertain, Dynamic Games. In: Bento, C., Cardoso, A., Dias, G. (eds) Progress in Artificial Intelligence. EPIA 2005. Lecture Notes in Computer Science(), vol 3808. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11595014_56

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  • DOI: https://doi.org/10.1007/11595014_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30737-2

  • Online ISBN: 978-3-540-31646-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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