Levy, Y. J. (2016) Projections and functions of Nash equilibria. International Journal of Game Theory, 45(1-2), pp. 435-459. (doi: 10.1007/s00182-015-0517-3)
|
Text
129886.pdf - Accepted Version 562kB |
Abstract
We show that any non-empty compact semi-algebraic subset of mixed action profiles on a fixed player set can be represented as the projection of the set of equilibria of a game in which additional binary players have been added. Even stronger, we show that any semi-algebraic continuous function, or even any semi-algebraic upper-semicontinuous correspondence with non-empty convex values, from a bounded semi-algebraic set to the unit cube can be represented as the projection of an equilibrium correspondence of a game with binary players in which payoffs depend on parameters from the domain of the function or correspondence in a multi-affine way. Some extensions are also presented.
Item Type: | Articles |
---|---|
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Levy, Dr John |
Authors: | Levy, Y. J. |
College/School: | College of Social Sciences > Adam Smith Business School > Economics |
Journal Name: | International Journal of Game Theory |
Publisher: | Springer-Verlag Heidelberg |
ISSN: | 0020-7276 |
ISSN (Online): | 1432-1270 |
Published Online: | 02 December 2015 |
Copyright Holders: | Copyright © Springer-Verlag Berlin Heidelberg 2015 |
First Published: | First published in International Journal of Game Theory 45(1-2):435-459 |
Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
University Staff: Request a correction | Enlighten Editors: Update this record