Random variational inequalities and the random traffic equilibrium problem

P Daniele, S Giuffrè - Journal of Optimization Theory and Applications, 2015 - Springer
In the paper we study, in a Hilbert space setting, a general random traffic equilibrium
problem and characterize the random Wardrop equilibrium distribution by means of a …

[HTML][HTML] On the study of the economic equilibrium problem through preference relations

M Milasi, A Puglisi, C Vitanza - Journal of Mathematical Analysis and …, 2019 - Elsevier
In this paper we consider a competitive economic equilibrium problem where preferences of
consumers are expressed by means of a binary relation. The aim is to find a suitable quasi …

Time-dependent generalized Nash equilibrium problem

J Cotrina, J Zúñiga - Journal of Optimization Theory and Applications, 2018 - Springer
We prove an existence result for the time-dependent generalized Nash equilibrium problem
under generalized convexity without neither a quasi-variational inequality reformulation nor …

Existence theorem for a class of generalized quasi-variational inequalities

M Milasi - Journal of Global Optimization, 2014 - Springer
In this paper we consider a class of generalized quasi-variational inequalities. The
variational problem is studied in the convex set X * YX× Y, with YY bounded and XX …

Variational problem, generalized convexity, and application to a competitive equilibrium problem

MB Donato, M Milasi, C Vitanza - Numerical Functional Analysis …, 2014 - Taylor & Francis
The main purpose of this article is to present a new formulation of a competitive equilibrium
in terms of a suitable quasivariational inequality involving multivalued maps. More precisely …

On the study of an economic equilibrium with variational inequality arguments

MB Donato, M Milasi, C Vitanza - Journal of Optimization Theory and …, 2016 - Springer
The main purpose of this paper is to investigate on the existence of a competitive equilibrium
for a market with consumption and exchange. A variational representation is used to study …

Evolutionary quasi-variational inequalities and the dynamic multiclass network equilibrium problem

L Scrimali - Numerical Functional Analysis and Optimization, 2014 - Taylor & Francis
We give an existence result to a class of evolutionary quasi-variational inequalities with
adaptive set of feasible solutions, where the adaptivity is modeled by solution-dependent …

Variational formulation of a general equilibrium model with incomplete financial markets and numeraire assets: existence

MB Donato, M Milasi, A Villanacci - Journal of Optimization Theory and …, 2018 - Springer
We present a general equilibrium model with incomplete financial markets and numeraire
assets. We assume that there are 2 periods of time, say today and tomorrow. In period 0 …

[HTML][HTML] Incomplete financial markets model with nominal assets: variational approach

MB Donato, M Milasi, A Villanacci - Journal of Mathematical Analysis and …, 2018 - Elsevier
We deal with the analysis of the general equilibrium model with incomplete financial markets
and nominal assets. We assume that there are 2 periods of time, say today and tomorrow …

Evolutionary quasi-variational inequality for a production economy

MB Donato, M Milasi, C Vitanza - Nonlinear Analysis: Real World …, 2018 - Elsevier
This paper is focused on the analysis of a time-dependent general equilibrium problem for a
production economy by using the variational inequality approach. More precisely, the time …