Darwinian Selection and Non-existence of Nash Equilibria

Details Darwinian Selection and Non-existence of Nash Equilibria Darwinian Selection and Non-existence of Nash Equilibria

2003-01-14

arxiv.org/abs/cond-mat/0301246v1

JStat P09001 (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

10.1088/1742-5468/2004/09/P09001

We study selection acting on phenotype in a collection of agents playing local games lacking Nash equilibria. After each cycle one of the agents losing most games is replaced by a new agent with new random strategy and game partner. The network generated can be considered critical in the sense that the lifetimes of the agents is power law distributed. The longest surviving agents are those with the lowest absolute score per time step. The emergent ecology is characterized by a broad range of behaviors. Nevertheless, the agents tend to be similar to their opponents in terms of performance.

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