Index and Stability in Bimatrix Games
Autor: | H. Arndt von Schemde |
---|---|
EAN: | 9783540291022 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 11.12.2005 |
Untertitel: | A Geometric-Combinatorial Approach |
Kategorie: | |
Schlagworte: | Bimatrix Games Index Nash Equilibria Nash equilibrium Stability dynamics equilibrium game theory proof theorem |
53,49 €*
Versandkostenfrei
Die Verfügbarkeit wird nach ihrer Bestellung bei uns geprüft.
Bücher sind in der Regel innerhalb von 1-2 Werktagen abholbereit.
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 3×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.