Regensburg 2007 – wissenschaftliches Programm
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AKSOE: Arbeitskreis Physik sozio-ökonomischer Systeme
AKSOE 7: Economic Models and Evolutionary Game Theory I
AKSOE 7.5: Vortrag
Dienstag, 27. März 2007, 12:15–12:45, H8
Impacts of Information Use and Stochastic Effects on the Dynamics of an Evolutionary Game — juergen jost1 and •wei li2 — 1MPI for Math. in the Sci, Leipzig, Germany — 2MPI for Phy. Compl. Sys., Dresden, Germany
We once introduced an evolutionary complementarity game where in each round a member of population 1 plays with a member of population 2. In this work, systematic analysis through simulations and partly mathematics are given on what kind of roles information use and stochastic effects may play in the dynamics of our game.
Generally we find that players who use the information more efficiently can gain advantages over those who do less or not. There are several ways to use the information more efficiently. For example, players can have shorter generation times which enable them to update more frequently and thus have many more chances to access the information. Players may also determine their present-round offers on the basis of average of offers of all their previous encounters, no matter by direct copying or evolving the look-up table.
Stochastic effects have very complicated impacts on the dynamics of the game, based on the levels of evolution. Individually it is better for each player to have less randomness. Collectively, this is also better for the population as a whole when all its members are uniform. However, it is better for the population to have some members with higher randomness because they seem to confuse the opponent.