عنوان

Index and stability in bimatrix games :

شابک

3540223886

شابک

3540263667

شابک

3540264590

شابک

3540291024

شابک

6610337578

شابک

6610337969

شابک

9783540223887

شابک

9783540263661

شابک

9783540264590

شابک

9783540291022

شابک

9786610337576

شابک

9786610337965

شماره

b598023

عنوان اصلي

Index and stability in bimatrix games :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a geometric-combinatorial approach

نام نخستين پديدآور

Arndt von Schemde.

محل نشرو پخش و غیره

Berlin ; New York

نام ناشر، پخش کننده و غيره

Springer

تاریخ نشرو بخش و غیره

©2005.

نام خاص و کميت اثر

(x, 151 pages) : illustrations

عنوان فروست

Lecture notes in economics and mathematical systems, 560.

متن يادداشت

Introduction --; Equilibrium Components with Arbitrary Index --; A Reformulation of the Index for Equilibria in Bimatrix Games --; Sperner's Lemma and Labelling Theorems --; A Strategic Characterisation of the Index --; Outside Option Equilibrium Components --; Index Zero and Hyperstability.

متن يادداشت

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.

موضوع مستند نشده

Game theory.

موضوع مستند نشده

Index theory (Mathematics)

موضوع مستند نشده

REFERENCE.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Arndt von Schemde.

مستند نام اشخاص تاييد نشده

Arndt von Schemde

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y