Fuzzy games with a countable space of actions and applications to systems of generalized quasi-variational inequalities

Patriche, Monica

doi:10.1186/1687-1812-2014-124

Cited by 4 publications

(6 citation statements)

References 32 publications

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“…The control condition and preference correspondences, comes from the constraint and preference fuzzy mappings, verifies the assumptions of measurable graph and weakly open lower sections. Our result is a generalization of Theorem 2 in [16].…”

Section: 2mentioning

confidence: 72%

“…In addition, [16] defined and considered a model of an abstract fuzzy economy model with private information and a countable set of actions as follows.…”

Section: Definition 32mentioning

confidence: 99%

“…This model is characterized by a private information set, an the set of action fuzzy mapping, a random fuzzy constraint one and a random fuzzy preference mapping. In 2014, Patriche [16] studied the fuzzy games with a countable space of actions and applications to systems of generalized quasi-variational inequalities. The Bayesian fuzzy equilibrium problem concept is an expansion of the deterministic equilibrium problem.…”

Section: Introductionmentioning

confidence: 99%

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The existence of Bayesian fuzzy equilibrium problems for a new general Bayesian abstract fuzzy economy model with differential private information

Kumam¹

2016

J. Nonlinear Sci. Appl.

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In this work, we introduced a new Bayesian abstract fuzzy economy model with differential private information and the Baysian fuzzy equilibrium problem, and we also prove the existence of the Baysian fuzzy equilibrium problem for this new model. Our main results extended and improved the recent results announced by many authors from the literature. The new concept of idea that the uncertainties characterize the individual attribute of the choice or preference of the agents concerned in different economic actions. c 2016 All rights reserved.Keywords: Bayesian abstract fuzzy economy model, Bayesian fuzzy equilibrium problem, incomplete information, random fuzzy mappings, fuzzy mappings. 2010 MSC: 58E35, 47H10, 91B50, 91A44.

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Section: 2mentioning

confidence: 72%

“…In addition, [16] defined and considered a model of an abstract fuzzy economy model with private information and a countable set of actions as follows.…”

Section: Definition 32mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The existence of Bayesian fuzzy equilibrium problems for a new general Bayesian abstract fuzzy economy model with differential private information

Kumam¹

2016

J. Nonlinear Sci. Appl.

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“…This model is characterized by a private information set, an action fuzzy mapping, a random fuzzy constraint one, and a random fuzzy preference mapping. Recently, Patriche introduced the fuzzy games with a countable space of actions and applications to systems of generalized quasi‐variational inequalities. The Bayesian fuzzy equilibrium concept is an extension of the deterministic equilibrium.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy games for a general Bayesian abstract fuzzy economy model of product measurable spaces

Saipara

2015

Math Methods in App Sciences

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In this paper, we introduce a general Bayesian abstract fuzzy economy model of product measurable spaces, and we prove the existence of Bayesian fuzzy equilibrium for this model. Our results extend and improve the corresponding recent results announced by Patriche and many authors from the literature. It captures the idea that the uncertainties characterize the individual feature of the decisions of the agents involved in different economic activities. In this paper, the uncertainties can be described by using random fuzzy mappings. Further attention is needed for the study of applications of the established result in the game theory and the fuzzy economic field.

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“…Also, Patriche [32] defined the new Bayesian abstract fuzzy economy game and proved the existence of the Bayesian fuzzy equilibrium for this game which it is characterized by a private information set, an action fuzzy mapping, a random fuzzy constraint one and a random fuzzy preference mapping. Recently, Patriche [33] defined the fuzzy games and applications to systems of generalized quasi-variational inequalities problem. The Bayesian fuzzy equilibrium concept is an extension of the deterministic equilibrium.…”

Section: Fuzzy Gamesmentioning

confidence: 99%

Bayesian Inference Application

Kumam¹,

Saipara²

2017

Bayesian Inference

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Fuzzy games with a countable space of actions and applications to systems of generalized quasi-variational inequalities

Cited by 4 publications

References 32 publications

The existence of Bayesian fuzzy equilibrium problems for a new general Bayesian abstract fuzzy economy model with differential private information

The existence of Bayesian fuzzy equilibrium problems for a new general Bayesian abstract fuzzy economy model with differential private information

Fuzzy games for a general Bayesian abstract fuzzy economy model of product measurable spaces

Bayesian Inference Application

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