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Different Forms of Imbalance in Strongly Playable Discrete Games II: Multi-Player RPS Games

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  • Itai Maimon

Abstract

Classic Rock-Paper-Scissors, RPS, has seen many variants and generalizations in the past several years. In the previous paper, we defined playability and balance for games. We used these definitions to show that different forms of imbalance agree on the most balanced and least balanced form of playable two-player n-object RPS games, referred to as (2,n)-RPS. We reintroduce these definitions here and show that, given a conjecture, the generalization of this game for m

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  • Itai Maimon, 2025. "Different Forms of Imbalance in Strongly Playable Discrete Games II: Multi-Player RPS Games," Papers 2511.13736, arXiv.org.
    • Handle: RePEc:arx:papers:2511.13736
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    References listed on IDEAS

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    1. Cowell, F.A., 2000. "Measurement of inequality," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 2, pages 87-166, Elsevier.
    2. Itai Maimon, 2025. "Different Forms of Imbalance in Strongly Playable Discrete Games I: Two-Player RPS Games," Papers 2511.00374, arXiv.org.
    3. Qilong Liu & Qingshui Liao, 2023. "Computing Nash Equilibria for Multiplayer Symmetric Games Based on Tensor Form," Mathematics, MDPI, vol. 11(10), pages 1-17, May.
    4. Zheng-Hai Huang & Liqun Qi, 2017. "Formulating an n-person noncooperative game as a tensor complementarity problem," Computational Optimization and Applications, Springer, vol. 66(3), pages 557-576, April.
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