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Games with Continuous Action Spaces

  • Lacra Pavel
Part of the Static & Dynamic Game Theory: Foundations & Applications book series (SDGTFA)

Abstract

This chapter focuses on Nash games with continuous kernel, i.e., games with continuous action spaces and cost functions. Basic concepts and results are reviewed focused on game formulations, Nash equilibria, reaction curves, and existence results. These are mostly adapted from (Basar and Olsder in Dynamic Noncooperative Game Theory. SIAM Series Classics in Applied Mathematics, 2nd edn., 1999). For more in-depth treatment the reader is referred to this and other more extensive references on the subject.

Keywords

Nash Equilibrium Mixed Strategy Pure Strategy Reaction Function Matrix Game 
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.

References

  1. 20.
    Basar, T., Olsder, G.J.: In: Dynamic Noncooperative Game Theory. SIAM Series Classics in Applied Mathematics, 2nd edn. (1999) Google Scholar
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    Greenwald, A., Friedman, E.J., Shenker, S.: Learning in network contexts: experimental results from simulations. Games Econ. Behav. 35, 80–123 (2001) MathSciNetMATHCrossRefGoogle Scholar
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    Nash, J.: Non-cooperative games. Ann. Math. 54(2), 286–295 (1951) MathSciNetMATHCrossRefGoogle Scholar
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    Owen, G.: Game Theory, 3rd edn. Academic Press, San Diego (1995) Google Scholar

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.Department of Electrical and Computer EngineeringUniversity of TorontoTorontoCanada

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