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Catch-Up: A Game in Which the Lead Alternates

Author

Listed:
  • Isaksen, Aaron
  • Ismail, Mehmet
  • Brams, Steven J.
  • Nealen, Andy

Abstract

Catch-Up is a two-player game in which the players' scores remain close throughout the game, making the eventual winner -- if there is one -- hard to predict. Because neither player can build up an insurmountable lead, its play creates tension and drama, even between players of different skill. We show how the game is played, demonstrate that its simple rules lead to complex game dynamics, analyse some of its most important properties, and discuss possible extensions. (This paper was published at the Game & Puzzle Design in 2015, and it was uploaded onto MPRA for archival purposes.)

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:108784
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/108784/1/MPRA_paper_108784.pdf
    File Function: original version
    Download Restriction: no
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    References listed on IDEAS

    as
    1. Daniel Kahneman, 2002. "Maps of Bounded Rationality," Nobel Prize in Economics documents 2002-4, Nobel Prize Committee.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. 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.
    2. Mehmet S. Ismail, 2022. "Exploring the Constraints on Artificial General Intelligence: A Game-Theoretic No-Go Theorem," Papers 2209.12346, arXiv.org, revised Nov 2023.
    3. Brams, Steven J. & Ismail, Mehmet S. & Kilgour, D. Marc & Stromquist, Walter, 2016. "Catch-Up: A Rule That Makes Service Sports More Competitive," MPRA Paper 75650, University Library of Munich, Germany.

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    More about this item

    Keywords

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    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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