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On extensions of the Cournot-Nash theorem

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Published by College of Commerce and Business Administration, University of Illinois at Urbana-Champaign in [Urbana, Ill.] .
Written in English


Book details:

Edition Notes

Includes bibliographical references (p. 38-41).

StatementM. Ali Khan
SeriesBEBR faculty working paper -- no. 84-1088, BEBR faculty working paper -- no. 84-1088.
ContributionsUniversity of Illinois at Urbana-Champaign. College of Commerce and Business Administration
The Physical Object
Pagination41 p. ;
Number of Pages41
ID Numbers
Open LibraryOL25105886M
OCLC/WorldCa742061763

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On extensions of the Cournot-Nash theorem / By M. Ali. Khan and University of Illinois at Urbana-Champaign. College of Commerce and Business Administration. Abstract. Includes bibliographical references (p. ).Mode of access: Internet. In game theory, the Nash equilibrium, named after the mathematician John Forbes Nash Jr., is a proposed solution of a non-cooperative game involving two or more players in which each player is assumed to know the equilibrium strategies of the other players, and no player has anything to gain by changing only their own strategy.. If each player has chosen a strategy—an action plan choosing Proposed by: John Forbes Nash Jr. On Extensions of the Cournot-Nash Theorem. Pages The Cournot-Nash Solution. Pages Advances in Equilibrium Theory Book Subtitle Proceedings of the Conference on General Equilibrium Theory Held at Indiana University-Purdue University . A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text.

This provides a unifying pair of Cournot–Nash existence results that goes considerably beyond the central result of E. J. Balder (, Int. J. Game Theory24, 79–94, Theorem ). Advances in Equilibrium Theory Buy Physical Book Learn about institutional subscriptions. Papers Table of contents (11 papers) About About these On Extensions of the Cournot-Nash Theorem. M. Ali Khan. Pages Thick and Thin Market Nonatomic Exchange Economies. Cournot-Nash Equilibrium in Duopoly. Ask Question Asked 7 years, 2 months ago. Active 7 years, 2 months ago. Viewed 11k times 2 $\begingroup$ This is a homework question, but resources online are exceedingly complicated, so I was hoping there was a fast, efficient way of solving the following question: There are 2 firms in an industry, which. Value Allocations: An Exposition.- On Extensions of the Cournot-Nash Theorem.- Thick and Thin Market Nonatomic Exchange Economies.- Examples of Excess Demand Functions on Infinite-Dimensional Commodity Spaces.- On Perfectly Competitive Economies: Loeb Economies.- Nonstandard Analysis and Infinite Economies: The Cournot-Nash Solution

Recently, Zhang and Zhang [Zhang, A., Zhang, Y. (). Stability of a Cournot–Nash equilibrium: the multi-product case. Journal of Mathematical Economics, 26, –] have presented sufficient and necessary conditions for the asymptotical stability of dynamic Cited by: A Cournot-Nash equilibrium γ is called pure if it is of the form γ =(id,T)#µ for some Borel map T: Θ →X (that is agents with the same type use the same strategy). By a standard fixed-point argument, see Schmeidler [11] or Mas-Colell [9], one obtains: Theorem (Existence of Cournot-Nash equilibria). If F ∈C(Θ × X × P(X)) where P. Definition: The Cournot model of oligopoly assumes that rival firms produce a homogenous product, and each attempts to maximize profits by choosing how much to produce. All firms choose output (quantity) simultaneously. The resulting equilibrium is a Nash equilibrium in quantities, called a Cournot (Nash) . Topic 4: Duopoly: Cournot-Nash Equilibrium. We now turn to the situation when there are a small number of firms in the industry and these firms have the option of colluding with or competing with each other. To begin with, we assume that there are only two firmsa situation called duopoly.