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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References
Borm P (1987) A classification of 2×2 bimatrix games. Cah Cent Études Rech Opér 29:69–84
Vorobev N (1958) Equilibrium points in bimatrix games. Theory Probab Appl 3:279–309
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License ( https://creativecommons.org/licenses/by-nc/2.0 ), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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González-Alcón, C., Borm, P., Hendrickx, R. et al. A taxonomy of best-reply multifunctions in 2×2×2 trimatrix games. TOP 15, 297–306 (2007). https://doi.org/10.1007/s11750-007-0022-3
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DOI: https://doi.org/10.1007/s11750-007-0022-3