Ramsza, M. (2006) Naive fictitious play in an evolutionary environment. (ELSE Working Papers 211). ESRC Centre for Economic Learning and Social Evolution: London, UK.
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Abstract
A fictitious play algorithm with a unit memory length within an evolutionary environment is considered. The aggregate average behavior model is proposed and analyzed. The existence, uniqueness and global asymptotic stability of equilibrium is proved for games with a cycling property. Also, a noisy version of the algorithm is considered, which gives rise to a system with a unique, globally asymptotically stable equilibrium for any game.
| Type: | Working / discussion paper |
|---|---|
| Title: | Naive fictitious play in an evolutionary environment |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | http://else.econ.ucl.ac.uk/newweb/papers.php#2006 |
| Language: | English |
| UCL classification: | UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics |
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