کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5072604 | 1373510 | 2008 | 33 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fictitious play in 3Ã3 games: The transition between periodic and chaotic behaviour
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
علوم انسانی و اجتماعی
اقتصاد، اقتصادسنجی و امور مالی
اقتصاد و اقتصادسنجی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Fictitious play in 3Ã3 games: The transition between periodic and chaotic behaviour Fictitious play in 3Ã3 games: The transition between periodic and chaotic behaviour](/preview/png/5072604.png)
چکیده انگلیسی
In the 1960s Shapley provided an example of a two-player fictitious game with periodic behaviour. In this game, player A aims to copy B's behaviour and player B aims to play one ahead of player A. In this paper we generalise Shapley's example by introducing an external parameter. We show that the periodic behaviour in Shapley's example at some critical parameter value disintegrates into unpredictable (chaotic) behaviour, with players dithering a huge number of times between different strategies. At a further critical parameter the dynamics becomes periodic again, but now both players aim to play one ahead of the other. In this paper we adopt a geometric (dynamical systems) approach. Here we prove rigorous results on continuity of the dynamics and on the periodic behaviour, while in the sequel to this paper we shall describe the chaotic behaviour.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Games and Economic Behavior - Volume 63, Issue 1, May 2008, Pages 259-291
Journal: Games and Economic Behavior - Volume 63, Issue 1, May 2008, Pages 259-291
نویسندگان
Colin Sparrow, Sebastian van Strien, Christopher Harris,