کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1898672 1044754 2011 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Is there switching for replicator dynamics and bimatrix games?
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Is there switching for replicator dynamics and bimatrix games?
چکیده انگلیسی

We consider heteroclinic networks for replicator dynamics and bimatrix games, that is, in a simplex or product of simplices, with equilibria at the vertices and connections at the edges–edge networks. Switching dynamics near a heteroclinic network occurs whenever every (infinite) sequence of connections in the network is shadowed by at least one trajectory in its neighborhood. Aguiar and Castro [M.A.D. Aguiar, S.B.S.D. Castro Chaotic switching in a two-person game, Physica D 239 (16), 1598–1609] prove switching near an edge network for the dynamics of the rock–scissors–paper game. Here we give conditions for switching dynamics in general bimatrix games and show that switching near an edge network can never occur for replicator dynamics.


► We consider edge heteroclinic networks for replicator dynamics and bimatrix games.
► We study the existence of switching near such networks.
► We prove that there is no switching in replicator dynamics.
► We give conditions for switching dynamics in bimatrix games.
► The mechanism for switching is conservative dynamics and no Kirk & Silber subnetwork.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 240, Issue 18, 1 September 2011, Pages 1475–1488
نویسندگان
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