Evolutionary variational inequalities and economic models for demand-supply markets

Mathematical Models and Methods in Applied Sciences

Volumn 13, Issue 4, 2003, Pages 471-489

  Daniele, Patrizia ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

Evolutionary spatially distributed markets; Supply and demand excesses; Time dependent variational inequalities

Indexed keywords

EID: 0038407544     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021820250300260X     Document Type: Article

References (17)

1. S. Dafermos, Traffic equilibrium and variational inequalities, Transport. Sci. 14 (1980) 42-54.
2. S. Dafermos, Exchange price equilibrium and variational inequalities, Math. Programming 146 (1990) 391-402.
3. P. Daniele and A. Maugeri, On dynamical equilibrium problems and variational inequalities, in Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models, eds. F. Giannessi, A. Maugeri and P. Pardalos (Kluwer, 2001), pp. 59-69.
4. P. Daniele, A. Maugeri and W. Oettli, Variational inequalities and time-dependent traffic equilibria, C. R. Acad. Sci. Paris 326 (1998) 1059-1062.
5. P. Daniele, A. Maugeri and W. Oettli, Time dependent traffic equilibria, J. Optim. Th. Appl. 103 (1999) 543-555.
6. P. Daniele, Variational inequalities for static equilibrium market. Lagrangian function and duality, in Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models, eds. F. Giannessi, A. Maugeri and P. Pardalos (Kluwer, 2001), pp. 43-58.
7. E. De Giorgi, Teoremi di semicontinuità nel Calcolo delle Variazioni, Ist. Naz. Alta Mat. (1968).
8. M. De Luca, Existence of solutions for a time-dependent quasi-variational inequality, Rend. Circ. Mat. Pal. 48 (1997) 101-106.
9. S. Fucik and A. Kufner, Nonlinear Differential Equations (Elsevier, 1980).
10. J. Gwinner, Stability and monotone variational inequalities with various applications, in Variational Inequalities and Network Equilibrium Problems, eds. F. Giannessi and A. Maugeri (Plenum Press, 1995), pp. 123-142.
11. J. Gwinner, Time dependent variational inequalities - some recent trends, in Equilibrium Problems and Variational Models, eds. P. Daniele, F. Giannessi and A. Maugeri (Kluwer, 2003).
12. R. Landes, On a necessary condition in the calculus of variations, Rend. Circ. Mat. Pal. 61 (1992) 369-387.
13. A. Nagurney and L. Zhao, Disequilibrium and variational inequalities, I Comput. Appl. Math. 33 (1990) 181-198.
14. A. Nagurney, Network Economics - A Variational Inequality Approach (Kluwer, 1993).
15. A. Nagurney, Multicriteria spatial price networks: Statics and dynamics, in Equilibrium Problems and Variational Models, eds. P. Daniele, F. Giannessi and A. Maugeri (Kluwer, 2003).
16. A. C. Pigou, The Economics of Welfare (MacMillan, 1920).
17. M. J. Smith, A new dynamic traffic model and the existence and calculation of dynamic user equilibria on congested capacity-constrained road network, Transport. Res. B27 (1993) 49-63.