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Journal ArticleDOI

Nash-equilibria in a heterogeneous oligopoly with fuzzy information

Nils Hauenschild, +1 more
- 01 Oct 2003 - 
- Vol. 8, Iss: 2, pp 165-184
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TLDR
In this article, the authors consider a model of an oligopolistic market with heterogeneous firms and products where neither the cost nor the demand functions are common knowledge and each firm only has some vague ideas about the price strategies adopted by its competitors which is modelled by a fuzzy set.
Abstract
We consider a model of an oligopolistic market with heterogeneous firms and products where neither the cost nor the demand functions are common knowledge. Instead, each firm only has some vague ideas about the price strategies adopted by its competitors which is modelled by a fuzzy set. In analogy to the notion of an "equilibrium of actions and beliefs" we define and characterize a generalized Nash-equilibrium and show its existence under general conditions. Furthermore, the impact of the fuzzy information on the equilibrium outcome is analyzed by means of a comparative static analysis within a particular model framework.

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Citations
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Journal ArticleDOI

A Fuzzy Stochastic Dynamic Nash Game Analysis of Policies for Managing Water Allocation in a Reservoir System

TL;DR: In this paper, a fuzzy dynamic Nash game model of interactions between water users in a reservoir system is presented, where water users are grouped into four players, where each player in game chooses its individual policies to maximize expected utility.
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A portfolio selection model using fuzzy returns

TL;DR: This model does not include any stochastic assumptions, and turns the data of observable returns as well as experts’ expectations into fuzzy sets in order to quantify the potential future returns and the investment risk.
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Supply Chains Competition under Uncertainty Concerning Player’s Strategies and Customer Choice Behavior: A Generalized Nash Game Approach

TL;DR: In this paper, the authors consider a competition between two supply chains, where each customer as an independent player selects products of these chains based on a random utility model, and take account of customer rationality as an exogenous parameter.
Book ChapterDOI

Ultimatum Games and Fuzzy Information

TL;DR: This work considers the proposer's decision process in an ultimatum game where his uncertainty with respect to the responder's preferences and the associated acceptance threshold is modeled by a fuzzy set and derives an explicit solution for a specific class of fuzzy sets.
References
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Book

Fuzzy sets

TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Book

The Theory of Industrial Organization

Jean Tirole
TL;DR: The Theory of Industrial Organization as discussed by the authors is the first primary text to treat the new industrial organization at the advanced-undergraduate and graduate level Rigorously analytical and filled with exercises coded to indicate level of difficulty, it provides a unified and modern treatment of the field with accessible models that are simplified to highlight robust economic ideas.
Journal ArticleDOI

Fuzzy Set Theory and Its Applications

TL;DR: In this paper, a new book about fuzzy set theory and its applications is presented, which can be used to explore the knowledge of the knowledge in a new way, even for only few minutes to read a book.
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