Altman, Eitan and Hanawal, Manjesh Kumar and Sundaresan, Rajesh (2016) GENERALISING DIAGONAL STRICT CONCAVITY PROPERTY FOR UNIQUENESS OF NASH EQUILIBRIUM. In: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 47 (2). pp. 213-228.
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Abstract
In this paper, we extend the notion of diagonally strictly concave functions and use it to provide a sufficient condition for uniqueness of Nash equilibrium in some concave games. We then provide an alternative proof of the existence and uniqueness of Nash equilibrium for a network resource allocation game arising from the so-called Kelly mechanism by verifying the new sufficient condition. We then establish that the equilibrium resulting from the differential pricing in the Kelly mechanism is related to a normalised Nash equilibrium of a game with coupled strategy space.
Item Type: | Journal Article |
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Publication: | INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS |
Additional Information: | Copy right for this article belongs to the INDIAN NAT SCI ACAD, BAHADUR SHAH ZAFAR MARG, NEW DELHI 110002, INDIA |
Department/Centre: | Division of Electrical Sciences > Electrical Communication Engineering |
Date Deposited: | 19 Aug 2016 05:47 |
Last Modified: | 19 Aug 2016 05:47 |
URI: | http://eprints.iisc.ac.in/id/eprint/54375 |
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