Dynamical Systems Games

Introduction of the DS game framework and investigation of 1-person DS games

• [FULL PAPER] E. Akiyama and K. Kaneko, ``Dynamical Systems Game Theory and Dynamics of Games,'' Physica D 147, Issue 3-4 (2000), pp. 221-258.
• [Conference proceedings: ECAL '99] "Dynamical Systems Game (The Lumberjacks' Dilemma Model)" PDF (10 pages, 1.7MB)

Application to the problems of social dilemma

• [FULL PAPER] E. Akiyama and K. Kaneko, ``Dynamical Systems Game Theory II --- A New Approach to the problem of the Social Dilemma,'' Physica D 167, Issues 1-2 (2002), pp 36-71.
• [Conference proceedings: Artificial Life 7] ``Evolution of Cooperation in Social Dilemma --- Dynamical Systems Game Approach,'' PDF (10 pages, 3.3MB), ps.tar.gz) (10 pages, 6.0MB), 

Cooperation in a Three Person Coalition Game

• E. Akiyama and K. Kaneko, "Evolution of Cooperation, Differentiation, Complexity, and Diversity in an Iterated Three-Person Game" (Available at sample articles of Artificial Life (the MIT Press)")

Coupled Replicator Dynamics

• Yuzuru Sato, Eizo Akiyama, and J. Doyne Farmer, "Chaos in Learning a Simple Two Person Game," Proc. Natl. Acad. Sci. USA, Vol. 99, Issue 7, 4748-4751, April 2, 2002.
  
  (Also available at Santa Fe Institute working papers)