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Exploring the constraints on artificial general intelligence: A game-theoretic model of human vs machine interaction

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  • Ismail, Mehmet S.

Abstract

The potential emergence of artificial general intelligence (AGI) systems has sparked intense debate among researchers, policymakers, and the public due to their potential to surpass human intelligence in all domains. This note argues that for an AI to be considered “general”, it should achieve superhuman performance not only in zero-sum games but also in general-sum games, where winning or losing is not clearly defined. In this note, I propose a game-theoretic framework that captures the strategic interactions between a representative human agent and a potential superhuman machine agent. Four assumptions underpin this framework: Superhuman Machine, Machine Strategy, Rationality, and Strategic Unpredictability. The main result is an impossibility theorem, establishing that these assumptions are inconsistent when taken together, but relaxing any one of them results in a consistent set of assumptions. This note contributes to a better understanding of the theoretical context that can shape the development of superhuman AI.

Suggested Citation

  • Ismail, Mehmet S., 2024. "Exploring the constraints on artificial general intelligence: A game-theoretic model of human vs machine interaction," Mathematical Social Sciences, Elsevier, vol. 129(C), pages 70-76.
    • Handle: RePEc:eee:matsoc:v:129:y:2024:i:c:p:70-76
    DOI: 10.1016/j.mathsocsci.2024.03.004
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    1. McKelvey, Richard D & Palfrey, Thomas R, 1992. "An Experimental Study of the Centipede Game," Econometrica, Econometric Society, vol. 60(4), pages 803-836, July.
    2. Ariel Rubinstein, 2007. "Instinctive and Cognitive Reasoning: A Study of Response Times," Economic Journal, Royal Economic Society, vol. 117(523), pages 1243-1259, October.
    3. Isaksen, Aaron & Ismail, Mehmet & Brams, Steven J. & Nealen, Andy, 2015. "Catch-Up: A Game in Which the Lead Alternates," MPRA Paper 108784, University Library of Munich, Germany.
    4. Fey, Mark & McKelvey, Richard D & Palfrey, Thomas R, 1996. "An Experimental Study of Constant-Sum Centipede Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(3), pages 269-287.
    5. Steven D. Levitt & John A. List & Sally E. Sadoff, 2011. "Checkmate: Exploring Backward Induction among Chess Players," American Economic Review, American Economic Association, vol. 101(2), pages 975-990, April.
    6. Ariel Rubinstein, 2007. "Instinctive and Cognitive Reasoning: Response Times Study," Levine's Bibliography 321307000000001011, UCLA Department of Economics.
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