| Description |
1 online resource (x, 151 pages) : illustrations |
| Series |
Lecture notes in economics and mathematical systems, 0075-8442 ; 560 |
|
Lecture notes in economics and mathematical systems ; 560. 0075-8442
|
| Contents |
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 |
| 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 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 |
| Notes |
Ph. D. School of Economics and Political Science, London |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| In |
OhioLINK electronic book center |
|
SpringerLink |
| Subject |
Game theory.
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Index theory (Mathematics)
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Game Theory
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REFERENCE.
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Index theory (Mathematics)
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Game theory.
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Affaires.
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Science économique.
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Economie de l'entreprise.
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Game theory
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Index theory (Mathematics)
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Bimatrixspelen.
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Evenwichtsmodellen (Economie)
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Stabiliteit.
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Speltheorie.
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| Genre/Form |
dissertations.
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Academic theses
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Academic theses.
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Thèses et écrits académiques.
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| Form |
Electronic book
|
| LC no. |
2005929878 |
| ISBN |
3540263667 |
|
9783540263661 |
|
3540291024 |
|
9783540291022 |
|
3540223886 |
|
9783540223887 |
|
3540264590 |
|
9783540264590 |
|
6610337578 |
|
9786610337576 |
|
9786610337965 |
|
6610337969 |
|
