Literature DB >> 8691089

Evolutionary dynamics for bimatrix games: a Hamiltonian system?

J Hofbauer1.   

Abstract

We review some properties of the evolutionary dynamics for asymmetric conflicts, give a simplified approach to them, and present some new results on the stability and bifurcations occurring in these conservative systems. In particular, we compare their dynamics to those of Hamiltonian systems.

Mesh：

Year:  1996        PMID： 8691089     DOI： 10.1007/bf02409754

Source DB:  PubMed          Journal:  J Math Biol        ISSN： 0303-6812            Impact factor:   2.259


  3 in total

1.  Coevolutionary instability of mixed Nash solutions.

Authors:  I Eshel; E Akin
Journal:  J Math Biol       Date:  1983       Impact factor: 2.259

2.  Evolutionary dynamics of zero-sum games.

Authors:  E Akin; V Losert
Journal:  J Math Biol       Date:  1984       Impact factor: 2.259

3.  A note on evolutionarily stable strategies in asymmetric animal conflicts.

Authors:  R Selten
Journal:  J Theor Biol       Date:  1980-05-07       Impact factor: 2.691
  3 in total
  9 in total

1.  The Red King effect: when the slowest runner wins the coevolutionary race.

Authors:  Carl T Bergstrom; Michael Lachmann
Journal:  Proc Natl Acad Sci U S A       Date:  2003-01-13       Impact factor: 11.205

2.  Structural symmetry in evolutionary games.

Authors:  Alex McAvoy; Christoph Hauert
Journal:  J R Soc Interface       Date:  2015-10-06       Impact factor: 4.118

3.  Mutualism and evolutionary multiplayer games: revisiting the Red King.

Authors:  Chaitanya S Gokhale; Arne Traulsen
Journal:  Proc Biol Sci       Date:  2012-09-12       Impact factor: 5.349

4.  α-Rank: Multi-Agent Evaluation by Evolution.

Authors:  Shayegan Omidshafiei; Christos Papadimitriou; Georgios Piliouras; Karl Tuyls; Mark Rowland; Jean-Baptiste Lespiau; Wojciech M Czarnecki; Marc Lanctot; Julien Perolat; Remi Munos
Journal:  Sci Rep       Date:  2019-07-09       Impact factor: 4.379

5.  Chaos in learning a simple two-person game.

Authors:  Yuzuru Sato; Eizo Akiyama; J Doyne Farmer
Journal:  Proc Natl Acad Sci U S A       Date:  2002-04-02       Impact factor: 11.205

6.  The shift between the Red Queen and the Red King effects in mutualisms.

Authors:  Lei Gao; Yao-Tang Li; Rui-Wu Wang
Journal:  Sci Rep       Date:  2015-02-04       Impact factor: 4.379

7.  No robust multispecies coexistence in a canonical model of plant-soil feedbacks.

Authors:  Zachary R Miller; Pablo Lechón-Alonso; Stefano Allesina
Journal:  Ecol Lett       Date:  2022-05-30       Impact factor: 11.274

8.  Asymmetric Evolutionary Games.

Authors:  Alex McAvoy; Christoph Hauert
Journal:  PLoS Comput Biol       Date:  2015-08-26       Impact factor: 4.475

9.  Cooperate or Not Cooperate in Predictable but Periodically Varying Situations? Cooperation in Fast Oscillating Environment.

Authors:  S G Babajanyan; Wayne Lin; Kang Hao Cheong
Journal:  Adv Sci (Weinh)       Date:  2020-09-18       Impact factor: 16.806
  9 in total

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