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Population Games with Vector Payoff and Approachability

In: Computational Management Science

Author

Listed:
  • Dario Bauso

    (Università di Palermo)

  • Thomas W. L. Norman

    (Magdalen College)

Abstract

This paper studies population games with vector payoffs. It provides a new perspective on approachability based on mean-field game theory. The model involves a Hamilton-Jacobi-Bellman equation which describes the best-response of every player given the population distribution and an advection equation, capturing the macroscopic evolution of average payoffs if every player plays its best response.

Suggested Citation

  • Dario Bauso & Thomas W. L. Norman, 2016. "Population Games with Vector Payoff and Approachability," Lecture Notes in Economics and Mathematical Systems, in: Raquel J. Fonseca & Gerhard-Wilhelm Weber & João Telhada (ed.), Computational Management Science, edition 1, pages 239-245, Springer.
  • Handle: RePEc:spr:lnechp:978-3-319-20430-7_31
    DOI: 10.1007/978-3-319-20430-7_31
    as

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