Computational Science Technical Note CSTN-150


Well-Mixed Systems and the Approach to Equilibria in Spatial Hawk and Dove Game Simulations

K.A. Hawick and C.J. Scogings

Archived April 2012


The Hawk-Dove game is a two-player game-theoretic micro-model that can be used to investigate the evolution of cooperative behaviour in many-agent systems. Individual agents have a stochastic strategy in the form of a continuous-valued probability of playing a non-cooperative ``hawk'' strategy and a large system of agents is formulated on various spatial grids of different dimensionalities and sizes of neighbourhoods. We investigate the approach of the spatial Hawk-Dove game towards a well-mixed equilibrium state as the player interaction neighbourhood size is increased. We explore metrics for assessing the closeness of the system to being well-mixed and compare results from numerical simulations with theoretical predictions for a well-mixed system, where spatial isolation effects ought to be irrelevant.

Keywords: hawk-dove game; cooperation; mixed strategy; stochastic strategy.

Full Document Text: PDF version.

Citation Information: BiBTeX database for CSTN Notes.

BiBTeX reference:

  author = {K. A. Hawick and C. J. Scogings},
  title = {Well-Mixed Systems and the Approach to Equilibria in Spatial Hawk
	and Dove Game Simulations},
  booktitle = {Proc. Int. Conf. Modelling and Simulation (AfricaMS 2012)},
  year = {2012},
  number = {761-020},
  pages = {177-183},
  address = {Botswana, Africa},
  month = {3-5 September},
  publisher = {IASTED},
  note = {CSTN-150},
  doi = {10.2316/P.2012.761-020},
  institution = {Computer Science, Massey University},
  timestamp = {2012.05.03}

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