Journal ArticleDOI
Pseudocontinuous functions and existence of Nash equilibria
TLDR
In this paper, the existence of Nash equilibria for games with pseudocontinuous payoffs is proved and a maximum theorem is proved for such a class of functions and connections with similar results are investigated.About:
This article is published in Journal of Mathematical Economics.The article was published on 2007-02-01. It has received 59 citations till now. The article focuses on the topics: Nash equilibrium.read more
Citations
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Generalized Nash Equilibria for the Service Provisioning Problem in Multi-Cloud Systems
TL;DR: A game-theoretic approach for the runtime management of resources from multiple IaaS providers to be allocated to multiple competing SaaSs, along with a cost model including revenues and penalties for requests execution failures is proposed.
Journal ArticleDOI
On the existence of Nash equilibrium in discontinuous games
Rabia Nessah,Guoqiang Tian +1 more
TL;DR: In this article, a new notion of very weak continuity, called quasi-weak transfer continuity, is introduced, which guarantees the existence of pure strategy Nash equilibrium in compact and quasiconcave games.
Journal ArticleDOI
Service Provisioning Problem in Cloud and Multi-Cloud Systems
TL;DR: This paper aims to study the hourly basis service provisioning problem through a generalized Nash game model from the perspective of Software as a service (SaaS) providers that want to minimize the costs associated with the virtual machine instances allocated in a multiple Infrastructures as a Service scenario while avoiding incurring penalties for execution failures and providing quality of service guarantees.
Journal ArticleDOI
Essential equilibria of discontinuous games
TL;DR: In this article, it was shown that games with essential Nash equilibria are the generic case when their potentials satisfy a condition called weak upper pseudocontinuity, which is weaker than upper semiconductinuity.
Journal ArticleDOI
Location of Nash equilibria: A Riemannian geometrical approach
TL;DR: In this article, the existence and location of Nash equilibrium points are studied for a large class of a finite family of payoff functions whose domains are not necessarily convex in the usual sense; the geometric idea is to embed these non-convex domains into suitable Riemannian manifolds regaining certain geodesic convexity properties of them.
References
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Book ChapterDOI
Stability in Competition
TL;DR: In this paper, it was shown that if the purveyor of an article gradually increases his price while his rivals keep theirs fixed, the diminution in volume of his sales will in general take place continuously rather than in the abrupt way which has tacitly been assumed.
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Equilibrium points in n-person games
TL;DR: A concept of an n -person game in which each player has a finite set of pure strategies and in which a definite set of payments to the n players corresponds to each n -tuple ofpure strategies, one strategy being taken for each player.
Book ChapterDOI
Non-cooperative games
TL;DR: In this article, it was shown that the set of equilibrium points of a two-person zero-sum game can be defined as a set of all pairs of opposing "good" strategies.
Journal ArticleDOI
A further generalization of the kakutani fixed point theorem, with application to nash equilibrium points
TL;DR: In this article, it was shown that Kakutani's fixed point theorem may be extended to convex linear topological spaces and implies the minimax theorem for continuous games with continuous payoff and the existence of Nash equilibrium points.
Journal ArticleDOI
The Existence of Equilibrium in Discontinuous Economic Games, I: Theory
Eric Maskin,Partha Dasgupta +1 more
TL;DR: In this article, the existence of Nash equilibrium in games where agents' payoff functions are discontinuous is investigated, and it is shown that the payoff functions in mildly modified versions of these constructs exhibit two weaker forms of continuity which, together with the requirement of quasi-concavity, suffice for the presence of an equilibrium.