A taxonomy of best-reply multifunctions in 2×2×2 trimatrix games |
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Authors: | Carlos González-Alcón Peter Borm Ruud Hendrickx Kim van Kuijk |
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Institution: | (1) Departamento de Estadística, I.O. y Computación, Universidad de La Laguna, 38071 La Laguna, Spain;(2) CentER and Department of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands |
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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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Keywords: | Non-cooperative games Best-reply multifunction Nash equilibrium |
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