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534. Recent Advances on the Variational Ineqaulity approach to Network Games
Invited abstract in session WC-43: Recent advances on Variational Inequalities and Equilibrium Problems II, stream Variational Inequalities and Equilibrium Problems: From Theoretical Advances to Real World Applications.
Wednesday, 12:30-14:00Room: 99 (building: 306)
Authors (first author is the speaker)
| 1. | Fabio Raciti
|
| Mathematics and Computer Science, University of Catania |
Abstract
Recent Advances on the Variational Inequality approach to Network Games
Network Games, (NG), are a class of games where each individual (player) is identified with a node of a graph and the players that can interact directly are connected through links of the graph. The specificity of these games is the central role played by the graph structure in the description of the patterns of interactions, and in the final social or economic outcome.
The mathematical consequence of this description is that some interesting results depend on quantities such as the spectral radius of the adjacency matrix, its minimum eigenvalue, and its powers.
The theory of Variational Inequalities has not yet been exploited in the context of NG, with only a few exceptions. In this talk we outline some recent results as well as some research perspectives within this framework.
Keywords
- Game Theory
- Social Networks
- Graphs and Networks
Status: accepted
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