Name
Title | ||
|---|---|---|
Cybersecurity Investments With Nonlinear Budget Constraints And Conservation Laws: Variational Equilibrium, Marginal Expected Utilities, And Lagrange Multipliers |
Abstract | ||
|---|---|---|
In this paper, we propose a new cybersecurity investment supply chain game theory model, assuming that the demands for the product are known and fixed and, hence, the conservation law of each demand market is fulfilled. The model is a generalized Nash equilibrium model with nonlinear budget constraints for which we define the variational equilibrium, which provides us with a variational inequality formulation. We construct an equivalent formulation, enabling the analysis of the influence of the conservation laws and the importance of the associated Lagrange multipliers. We find that the marginal expected transaction utility of each retailer depends on this Lagrange multiplier and its sign. Finally, numerical examples with reported equilibrium product flows, cybersecurity investment levels, and Lagrange multipliers, along with individual firm vulnerability and network vulnerability, illustrate the obtained results. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1111/itor.12502 | INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH |
Keywords | Field | DocType |
cybersecurity, investments, supply chains, conservation laws, game theory, generalized Nash equilibrium, variational inequalities, Lagrange multipliers | Mathematical optimization,Nonlinear system,Budget constraint,Generalized nash equilibrium,Lagrange multiplier,Supply chain,Game theory,Conservation law,Mathematics,Variational inequality | Journal |
Volume | Issue | ISSN |
25 | 5 | 0969-6016 |
Citations | PageRank | References |
4 | 0.44 | 11 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gabriella Colajanni | 1 | 4 | 0.44 |
| Patrizia Daniele | 2 | 113 | 16.01 |
| Sofia Giuffrè | 3 | 49 | 11.23 |
| Anna Nagurney | 4 | 677 | 96.18 |