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In this paper, we introduce a Bayesian abstract fuzzy economy model and we prove the Bayesian fuzzy equilibrium existence. As applications, we prove the existence of the solutions for two types of random quasi-variational inequalities with…

最优化与控制 · 数学 2013-05-01 Monica Patriche

In this paper, we introduce an abstract fuzzy economy model with a measure space of agents which generalizes Patriche's model (2009), we obtain a theorem of fuzzy equilibrium existence and we prove the existence of the solutions for two…

最优化与控制 · 数学 2013-04-23 Monica Patriche

In this paper, we introduce an abstract fuzzy economy (generalized fuzzy game) model with a countable space of actions and we study the existence of the fuzzy equilibrium. As applications, two types of results are obtained. The first ones…

最优化与控制 · 数学 2013-06-25 Monica Patriche

We obtain new equilibrium theorems for fuzzy abstract economies with correspondences being w-upper semicontinuous or having e-USS-property.

最优化与控制 · 数学 2013-04-01 Monica Patriche

In this paper, we firstly prove the existence of the equilibrium for the generalized abstract economy. We apply these results to show the existence of solutions for systems of vector quasi-equilibrium problems with multivalued trifunctions.…

最优化与控制 · 数学 2015-07-07 Monica Patriche

The quasi-variational inequalities play a significant role in analyzing a wide range of real-world problems. However, these problems are more complicated to solve than variational inequalities as the constraint set is based on the current…

最优化与控制 · 数学 2024-07-29 Asrifa Sultana , Shivani Valecha

This paper has two central aims: first, to provide simple conditions under which the generalized games in choice form and, consequently, the abstract economies, admit equilibrium; second, to study the solvability of several types of systems…

最优化与控制 · 数学 2016-05-17 Monica Patriche

Variational relation problems allow a general approach for variational inequalities, equilibrium problems, optimization problems, variational inclusions. In this paper we consider a system of quasi-variational relations and determine some…

最优化与控制 · 数学 2013-06-04 Daniela Inoan

We suggest a new approach to creation of general market equilibrium models involving economic agents with local and partial knowledge about the system and under different restrictions. The market equilibrium problem is then formulated as a…

最优化与控制 · 数学 2020-06-16 Igor Konnov

In this work, we propose a new existence result for quasi-equilibrium problems using generalized monotonicity in an infinite dimensional space. Also, we show that the notions of generalized monotonicity can be characterized in terms of…

最优化与控制 · 数学 2019-02-28 John Cotrina

This paper focuses on a new model to reach the existence of equilibrium in a pure exchange economy with fuzzy preferences (PXE-FP). The proposed model integrates exchange, consumption and the agent's fuzzy preference in the consumption set.…

计算机科学与博弈论 · 计算机科学 2020-10-13 Xia Zhang , Hao Sun , Xuanzhu Jin , Moses Olabhele Esangbedo

We introduce the notions of w-lower semicontinuous and almost w-lower semicontinuous correspondence with respect to a given set and prove a new fixed-point theorem. We also introduce the notion of correspondence with e-LSCS-property. As…

最优化与控制 · 数学 2013-03-29 Monica Patriche

In this work we propose a formal system for fuzzy algebraic reasoning. The sequent calculus we define is based on two kinds of propositions, capturing equality and existence of terms as members of a fuzzy set. We provide a sound semantics…

计算机科学中的逻辑 · 计算机科学 2021-10-22 Davide Castelnovo , Marino Miculan

We present generalization of the Bloom variety theorem of ordered algebras in fuzzy setting. We introduce algebras with fuzzy orders which consist of sets of functions which are compatible with particular binary fuzzy relations called fuzzy…

逻辑 · 数学 2017-01-11 Vilem Vychodil

A generalized continuous economic model is proposed for random markets. In this model, agents interact by pairs and exchange their money in a random way. A parameter controls the effectiveness of the transactions between the agents. We show…

综合金融 · 定量金融 2011-05-11 R. Lopez-Ruiz , E. Shivanian , S. Abbasbandy , J. L. Lopez

The purpose of this paper is to prove the existence of solutions of quasi-equilibrium problems without any generalized monotonicity assumption. Additionally, we give an application to quasi-optimization problems.

最优化与控制 · 数学 2017-09-20 John Cotrina , Javier Zúñiga

This paper considers a general framework for the study of the existence of quasi-variational and variational solutions to a class of nonlinear evolution systems in convex sets of Banach spaces describing constraints on a linear combination…

偏微分方程分析 · 数学 2018-09-07 Fernando Miranda , José Francisco Rodrigues , Lisa Santos

A new class of projected dynamical systems of third order is investigated for quasi (parametric) variational inequalities in which the convex set in the classical variational inequality also depends upon the solution explicitly or…

最优化与控制 · 数学 2025-01-10 Oday Hazaimah

This paper considers a new fuzzy fractional differential variational inequality with integral boundary conditions comprising a fuzzy fractional differential inclusion with integral boundary conditions and a variational inequality in…

最优化与控制 · 数学 2026-03-31 Zengbao Wu , Quanguo Zhang , Tao Chen , Yibin Xiao , Tianyin Wang , Chunyan Yang

General equilibrium, the cornerstone of modern economics and finance, rests on assumptions many markets do not meet. Spectrum auctions, electricity markets, and cap-and-trade programs for resource rights often feature non-convexities in…

理论经济学 · 经济学 2023-05-11 Jacob K Goeree
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