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Article overview
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Complex behaviour in cyclic competition bimatrix games | Cezary Olszowiec
; | Date: |
2 May 2016 | Abstract: | We consider an example of cyclic competition bimatrix game which is a
Rock-Scissors-Paper game with assumption about perfect memory of the playing
agents. For the analysis of asymptotic behaviour close to the boundary of state
space, we provide the description of naturally appearing heteroclinic network,
with discretized dynamics in its neighbourhood. Quotient network is
investigated as well and compared to the invalid models already considered in
the literature. Parameter space is divided into four regions where we observe
either irregular behaviour, or preference to follow itinerary consisting of
strategies for which one or the other agent do not lose, or they alternate in
winning. These regions are separated by two analytical curves and lines where
game is either symmetric (system is not C^1 linearisable) or is zero-sum so the
system is Hamiltonian. On each of these curves we observe different bifurcation
scenarions. | Source: | arXiv, 1605.0431 | Services: | Forum | Review | PDF | Favorites |
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