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Nash Equilibria in Games with Continuous Action Spaces

In: Game Theory

Author

Listed:
  • Ana Espinola-Arredondo

    (Washington State University)

  • Felix Muñoz-Garcia

    (Washington State University)

Abstract

In previous chapters, we examined how to find best responses when players face discrete strategy spaces (e.g., left or right, or set high or low prices). While helpful to understand the notion of best response in simultaneous-move games, many economic settings allow for continuous, rather than discrete, action spaces, such as firms choosing how much output to produce, which price to set for their products, or how much to invest in advertising. A similar argument applies to other social sciences, such as the political platform that candidates choose when they run for office, or how much each donor contributes to a charity.

Suggested Citation

  • Ana Espinola-Arredondo & Felix Muñoz-Garcia, 2023. "Nash Equilibria in Games with Continuous Action Spaces," Springer Books, in: Game Theory, chapter 0, pages 77-103, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-37574-3_4
    DOI: 10.1007/978-3-031-37574-3_4
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