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A taxonomy of best-reply multifunctions in 2x2x2 trimatix games

Author

Listed:
  • Gonzalez-Alcon, C.
  • Borm, P.E.M.

    (Tilburg University, School of Economics and Management)

  • Hendrickx, R.L.P.

    (Tilburg University, School of Economics and Management)

  • van Kuijk, K.

Abstract

This paper provides an overview of the various shapes the best- reply multifunctions can take in 2×2×2 trimatrix games. It is shown that, unlike in 2×2 bimatrix games, the best replies to the opponents’ pure strategies do not completely determine the structure of the Nash equilibrium set.
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Suggested Citation

  • Gonzalez-Alcon, C. & Borm, P.E.M. & Hendrickx, R.L.P. & van Kuijk, K., 2007. "A taxonomy of best-reply multifunctions in 2x2x2 trimatix games," Other publications TiSEM 8dc90f16-c3c3-49ee-9471-f, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:8dc90f16-c3c3-49ee-9471-fe6aaf51cd9f
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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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