Variational analysis and Variational rationality in Behavioral sciences: stationary traps

Boris S Mordukhovich (1) , Antoine Soubeyran (2)

1 Wayne State University [Detroit]
2 AMSE - Aix-Marseille Sciences Economiques

This paper concerns applications of variational analysis to some local aspects of behavioral science modeling by developing an effective variational rationality approach to these and related issues. Our main attention is paid to local stationary traps, which reflect such local equilibrium and the like positions in behavioral science models that are not worthwhile to quit. We establish constructive linear optimistic evaluations of local stationary traps by using generalized differential tools of variational analysis that involve subgradients and normals for nonsmooth and nonconvex objects as well as variational and extremal principles.

Keywords: worthwhile moves; sub-gradients; variational rationality; Variational analysis; optimization; normals; variational and extremal principles; applications to behavioral sciences

Domains: Humanities and Social Sciences; Economics and Finance; Mathematics [math]

Boris S Mordukhovich, Antoine Soubeyran. Variational analysis and Variational rationality in Behavioral sciences: stationary traps. Variational Analysis and Set Optimization, CRC Press, pp.1-24, 2019, 978-1-138-03726-7. ⟨hal-02084636⟩