Abstract
Echoing the “Two is company, but three is a crowd” expression, adding players to a game can create interesting, unexpected, and perhaps unwanted differences. On the other hand, modeling truly multiplayer settings with two-player games can be counterproductive.
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Notes
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These games and some of the section’s discussion, come from [13].
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In an appropriate space, they define the coordinate directions of payoffs, or inputs, that lead to cycles.
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The values can differ as long as obvious inequalities are respected.
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But, BRF is the risk-dominant cell with the \(3\times 3 \times 3=27\) product of \(\mathcal G^N\) entries compared to the \(1\times 1\times 5 = 5\) product for TLBa.
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Jessie, D.T., Saari, D.G. (2019). Multiplayer Games. In: Coordinate Systems for Games. Static & Dynamic Game Theory: Foundations & Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-35847-1_6
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DOI: https://doi.org/10.1007/978-3-030-35847-1_6
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