Savani, Rahul ORCID: 0000-0003-1262-7831 and von Stengel, Bernhard
(2016)
Unit vector games.
INTERNATIONAL JOURNAL OF ECONOMIC THEORY, 12 (1).
pp. 7-27.
Text
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Abstract
McLennan and Tourky (2010) showed that "imitation games" provide a new view of the computation of Nash equilibria of bimatrix games with the Lemke-Howson algorithm. In an imitation game, the payoff matrix of one of the players is the identity matrix. We study the more general "unit vector games", which are already known, where the payoff matrix of one player is composed of unit vectors. Our main application is a simplification of the construction by Savani and von Stengel (2006) of bimatrix games where two basic equilibrium-finding algorithms take exponentially many steps: the Lemke-Howson algorithm, and support enumeration.
Item Type: | Article |
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Additional Information: | final version as published in IJET |
Uncontrolled Keywords: | bimatrix game, Nash equilibrium computation, imitation game, Lemke-Howson algorithm, unit vector game |
Depositing User: | Symplectic Admin |
Date Deposited: | 09 Oct 2017 07:38 |
Last Modified: | 19 Jan 2023 07:03 |
DOI: | 10.1111/ijet.12077 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3007822 |