Abstract
We consider an evolutionary financial equilibrium problem where the risk assessment depends on previous equilibria and adaptive equality constraints are considered. A quasi-variational formulation is provided and an existence theorem is proved.
Keywords
- Variational Inequality
- Equilibrium Problem
- Ceiling Price
- Floor Price
- Variational Inequality Formulation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
References
Barbagallo, A.: On the regularity of retarded equilibria in time-dependent traffic equilibrium problems. Nonlinear Anal. 71, e2406–e2417 (2009)
Barbagallo, A., Di Vincenzo. R.: Lipschitz continuity and duality for dynamic oligopolistic market equilibrium problem with memory term. J. Math. Anal. Appl. 382, 231–247 (2011)
Barbagallo, A., Pia, S.: Weighted variational inequalities in non-pivot Hilbert spaces with applications. Comput. Optim. Appl. 48, 487–514 (2011)
Barbagallo, A., Daniele, P., Maugeri, A.: Variational formulation for a general dynamic financial equilibrium problem. Balance law liability formula. Nonlinear Anal. 75, 1104–1123 (2012)
Barbagallo, A., Daniele, P., Lorino, M., Maugeri, A., Mirabella, C.: Further results for general financial equilibrium problems via variational inequalities. J. Math. Financ. 3, 33–52 (2013)
Barbagallo, A., Daniele, P., Giuffrè, S., Maugeri, A.: A variational approach for a general financial equilibrium problem: the Deficit formula, the balance law and the liability formula. a path to the economy recover. Eur. J. Oper. Res. 237(1), 231–244 (2014)
Daniele, P.: Variational inequalities for evolutionary financial equilibrium. In: Nagurney, A. (ed.) Innovations in Financial and Economic Networks, pp. 84–108. Edward Elgar, Cheltenham (2003)
Daniele, P.: Time-dependent spatial price equilibrium problem: existence and stability results for the quantity formulation model. J. Global Optim. 28, 283–295 (2004)
Daniele, P.: Variational inequalities for general evolutionary financial equilibrium. In: Giannessi, F., Maugeri, A. (eds.) Variational Analysis and Applications, pp. 279–299. Springer, New York (2005)
Daniele, P.: Evolutionary variational inequalities applied to financial equilibrium problems in an environment of risk and uncertainty. Nonlinear Anal. 63, 1645–1653 (2005)
Daniele, P.: Dynamic Networks and Evolutionary Variational Inequalities. Edward Elgar Publishing, Chentelham (2006)
Daniele, P., Giuffrè, S., Pia, S.: Competitive financial equilibrium problems with policy interventions. J. Ind. Manag. Optim. 1, 39–52 (2005)
Donato, M.B., Milasi, M.: Lagrangean variables in infinite dimensional spaces for a dynamic economic equilibrium problem. Nonlinear Anal. 74, 5048–5056 (2011)
Donato, M.B., Milasi, M., Scrimali, L.: Walrasian equilibrium problem with memory term. J. Optim. Theory Appl. 151, 64–80 (2011)
Giuffrè, S., Pia, S.: Weighted traffic equilibrium problem in non pivot hilbert spaces with long term memory. AIP Conf. Proc. 1281, 282–285 (2010)
Giuffré, S., Idone, G., Maugeri, A: Duality theory and optimality conditions for generalized complementary problems. Nonlinear Anal. 63, e1655–e1664 (2005)
Giuffrè, S., Idone, G., Pia, S.: Some classes of projected dynamical systems in banach spaces and variational inequalities. J. Global Optim. 40, 119–128 (2008)
Khan, A.A., Raciti, F.: A multiplier rule in set-valued optimization. Bull. Austral. Math. Soc. 68, 93–100 (2003)
Nagurney, A., Parkes, D., Daniele, P.: The Internet, evolutionary variational inequalities, and the time-dependent braess paradox. Comput. Manag. Sci. 4, 243–281 (2007)
Raciti, F.: Equilibrium conditions and vector variational inequalities: a complex relation. J. Global Optim. 40, 353–360 (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Barbagallo, A., Daniele, P., Lorino, M., Maugeri, A., Mirabella, C. (2014). A Variational Approach to the Evolutionary Financial Equilibrium Problem with Memory Terms and Adaptive Constraints. In: Kalyagin, V., Pardalos, P., Rassias, T. (eds) Network Models in Economics and Finance. Springer Optimization and Its Applications, vol 100. Springer, Cham. https://doi.org/10.1007/978-3-319-09683-4_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-09683-4_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-09682-7
Online ISBN: 978-3-319-09683-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)