Formulating and Solving Service Network Pricing and Resource Allocation Games as Differential Variational Inequalities

2007 ◽  
pp. 587-614 ◽  
Author(s):  
T. L. Friesz ◽  
R. Mookherjee ◽  
M. A. Rigdon
Keyword(s):  
Resource Allocation ◽  
Variational Inequalities ◽  
Network Pricing ◽  
Service Network ◽  
Resource Allocation Games ◽  
Differential Variational Inequalities

scholarly journals On a Class of Differential Variational Inequalities in Infinite-Dimensional Spaces

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 266 ◽  
Author(s):  
Savin Treanţă
Keyword(s):  
Optimal Control ◽  
Variational Inequality ◽  
Variational Inequalities ◽  
Optimal Control Theory ◽  
Infinite Dimensional ◽  
Nash Games ◽  
New Class ◽  
Set Valued Mappings ◽  
Differential Variational Inequalities ◽  
Theoretical Developments

A new class of differential variational inequalities (DVIs), governed by a variational inequality and an evolution equation formulated in infinite-dimensional spaces, is investigated in this paper. More precisely, based on Browder’s result, optimal control theory, measurability of set-valued mappings and the theory of semigroups, we establish that the solution set of DVI is nonempty and compact. In addition, the theoretical developments are accompanied by an application to differential Nash games.

scholarly journals Network Slicing for Guaranteed Rate Services: Admission Control and Resource Allocation Games

2018 ◽  
Vol 17 (10) ◽  
pp. 6419-6432 ◽  
Author(s):  
Pablo Caballero ◽  
Albert Banchs ◽  
Gustavo de Veciana ◽  
Xavier Costa-Perez ◽  
Arturo Azcorra
Keyword(s):  
Resource Allocation ◽  
Admission Control ◽  
Network Slicing ◽  
Resource Allocation Games

General structure of a class of resource allocation games

2005 ◽  
Vol 345 (3-4) ◽  
pp. 676-704 ◽  
Author(s):  
R SAVIT ◽  
S BRUECKNER ◽  
H VANDYKEPARUNAK ◽  
J SAUTER
Keyword(s):  
Resource Allocation ◽  
General Structure ◽  
Resource Allocation Games

Decay solutions for a class of fractional differential variational inequalities

2015 ◽  
Vol 18 (3) ◽  
Author(s):  
Tran Dinh Ke ◽  
Nguyen Van Loi ◽  
Valeri Obukhovskii
Keyword(s):  
Fixed Point ◽  
Variational Inequalities ◽  
Fractional Derivatives ◽  
New Class ◽  
Fixed Point Approach ◽  
Fractional Differential ◽  
Differential Variational Inequalities

AbstractOur aim is to study a new class of differential variational inequalities involving fractional derivatives. Using the fixed point approach, the existence of decay solutions to the mentioned problem is proved.

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