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Responsive and Strong Responsive Evolutionary Dynamics

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  • Lu, Xiaohua
  • Stahl, Dale O, II

Abstract

We extend Relative Monotonic Dynamics to Responsive Dynamics (RDs) to permit the response of the population to be history dependent, discontinuous and delayed. We introduce Strong Responsive Dynamics (SRDs) to model populations that are a little more responsive than in RDs, and define a relationship called quasi-strict dominance which characterizes the strategies that eventually die out under SRDs. These non-surviving strategies include the strategies that are weakly dominated by a pure strategy. If the game is quasi-strict-dominance solvable, then a SRD will converge to the quasi-strict-dominance solution, which is a proper NE. If the game is "quasi-strict-dominance ordered", then a SRD will converge to a proper NE.

Suggested Citation

  • Lu, Xiaohua & Stahl, Dale O, II, 1994. "Responsive and Strong Responsive Evolutionary Dynamics," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(2), pages 101-117.
    • Handle: RePEc:spr:jogath:v:23:y:1994:i:2:p:101-17
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    Cited by:

    1. Nagurney, Anna & Zhang, Ding, 1996. "On the stability of an adjustment process for spatial price equilibrium modeled as a projected dynamical system," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 43-62.

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