Index and Stability in Bimatrix Games is popular PDF and ePub book, written by H. Arndt von Schemde in 2005-12-11, it is a fantastic choice for those who relish reading online the Business & Economics genre. Let's immerse ourselves in this engaging Business & Economics book by exploring the summary and details provided below. Remember, Index and Stability in Bimatrix Games can be Read Online from any device for your convenience.
Index and Stability in Bimatrix Games Book PDF Summary
The index of an equilibrium in a game gives information about the "stability" of the equilibrium, for example with respect to game dynamics. Unfortunately, index theory is often very technical. This book presents a new geometric construction that visualises the index in an intuitive way. For example, a 3A-n game, for any n, can be represented by a figure in the plane, from which one can read off any equilibrium, and its index as a geometric orientation. With this insight, the index can be characterised in strategic terms alone. Moreover, certain "hyperstable" equilibrium components are seen to have nonzero index. The construction gives an elementary proof that two-player games have a Nash equilibrium, and, in an unusual direction, the powerful fixed point theorem of Brouwer.
Detail Book of Index and Stability in Bimatrix Games PDF
- Author : H. Arndt von Schemde
- Release : 11 December 2005
- Publisher : Springer Science & Business Media
- ISBN : 9783540291022
- Genre : Business & Economics
- Total Page : 157 pages
- Language : English
- PDF File Size : 8,8 Mb
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