Sentimental equilibria with optimal control

Mathematical and Computer Modelling

Volumn 57, Issue 7-8, 2013, Pages 1965-1969

  Rey, José Manuel ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

Couple disruption; Divorce; Equilibrium; Marriage; Optimal control

Indexed keywords

CONTROL PROBLEMS; COUPLE DISRUPTION; DIVORCE; DYNAMICAL INSTABILITIES; MARRIAGE; OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROLS; STATE VARIABLES;

OPTIMAL CONTROL SYSTEMS; PHASE EQUILIBRIA;

CONTROL;

EID: 84875386502     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2012.01.019     Document Type: Article

References (14)

1. Martin T.C., Bumpass L. Recent trends in martial disruption. Demography 1989, 26:37-51.
2. Report on the evolution of the family in Europe 2009, Institute for Family Policy, 2009. Available at:. http://www.ipfe.org.
3. Bramlett M.D., Mosher W.D. Cohabitation, marriage, divorce, and remarriage in the United States. Natl. Center Health Stat. Vital Health Stat. 2002, 23(22).
4. Study on University Students in Spain, Research Reports, Unidad de Estudios Sociales y Opinión Pública, Programme "Values, Education and Public opinion", BBVA Foundation, 2006. Available at:. http://www.grupobbva.com/TLFB/dat/universitarios_2006.pdf.
5. Conflict, crisis and rupture in the family in Madrid, Institute of Family Policy, 2005 (in Spanish). Available at:. http://www.ipfe.org.
6. Rey J.-M. A mathematical model of sentimental dynamics accounting for marital dissolution. PLoS One 2010, 5(3):e9881.
7. Gottman J.M., Murray J.D., Swanson C.C., Tyson R., Swanson K.R. The Mathematics of Marriage-Dynamic Nonlinear Models 2002, The MIT Press.
8. Jacobson N.S., Margolin G. Marital Therapy 1979, Mazel, New York.
9. Buston P.M., Emlen S.T. Cognitive processes underlying human mate choice: the relationship between self-perception and mate preference in Western society. Proc. Natl. Acad. Sci. USA 2003, 100(15):8805-8810.
10. Coombs C.H., Avrunin G.S. Single-peaked functions and the theory of preference. Psychol. Rev. 1977, 84:216-230.
11. Seierstad A., Sydsæter K. Optimal Control Theory with Economic Applications 1999, North-Holland. second reprint.
12. Sydsaeter K., Hammond P. Essential Mathematics for Economic Analysis 2006, Prentice Hall.
13. Fisher H. Why We Love. The Nature and Chemistry of Romantic Love 2005, Henry Holt and Company, New York.
14. Leibniz G.W. New Essays on Human Understanding 1996, Cambridge University Press, English edition by P. Remnant and J. Bennett.