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The good, the bad, the well-connected

Author

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  • Michael Wegener

    (Antalya Bilim University)

  • Evla Mutlu

    (Antalya Bilim University)

Abstract

In this paper, we analyse a variation of truel competitions in which each prospective player is represented by a node in a scale-free network. Without including any particular spatial arrangement of players, traditional game theory suggests that in many truel settings the strongest player often has the lowest probability of survival, a paradox that has been popularised by the term survival of the unfittest. However, both our single-run and the Monte-Carlo simulations suggest that this particular notion does not hold in scale-free networks. The spatial structure and arrangement of players are crucial for the outcome of truels, as in scale-free networks the number of players surviving the competition positively depends on their marksmanship (i.e., the strongest players indeed have the highest probability of survival).

Suggested Citation

  • Michael Wegener & Evla Mutlu, 2021. "The good, the bad, the well-connected," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(3), pages 759-771, September.
    • Handle: RePEc:spr:jogath:v:50:y:2021:i:3:d:10.1007_s00182-021-00765-1
    DOI: 10.1007/s00182-021-00765-1
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    References listed on IDEAS

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    1. Réka Albert & Hawoong Jeong & Albert-László Barabási, 1999. "Diameter of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 130-131, September.
    2. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
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    Cited by:

    1. Athanasios Kehagias, 2023. "On the Nash Equilibria of a Duel with Terminal Payoffs," Games, MDPI, vol. 14(5), pages 1-12, September.
    2. Athanasios Kehagias, 2024. "The Duel Discounted Stochastic Game," Dynamic Games and Applications, Springer, vol. 14(4), pages 846-864, September.
    3. Athanasios Kehagias, 2024. "On the Nash equilibria of a simple discounted duel," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 34(2), pages 65-84.
    4. Dmitry, Ilinskiy & Sergey, Izmalkov & Alexey, Savvateev, 2022. "Последовательные Труэли: Равновесие С Выживанием Сильнейшего [Sequential Truels: an equilibrium with the survival of the fittest]," MPRA Paper 115766, University Library of Munich, Germany.

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