Some applications of set-valued mappings in mathematical economics
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Publication:751453
DOI10.1016/0304-4068(91)90018-OzbMath0714.90006OpenAlexW2077005992MaRDI QIDQ751453
Publication date: 1991
Published in: Journal of Mathematical Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0304-4068(91)90018-o
Set-valued maps in general topology (54C60) Discrete-time control/observation systems (93C55) Utility theory (91B16) Economic growth models (91B62) General systems (93A10) Individual preferences (91B08) Attractors of solutions to ordinary differential equations (34D45)
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Reduced cost functions and their applications ⋮ A superlinear multifunction arising in connection with mass transfer problems ⋮ Coercivity and generalized proximal algorithms: application -- traveling around the world ⋮ Applications of utility functions defined on quasi-metric spaces ⋮ Smooth feasible solutions to a dual Monge-Kantorovich problem and their application to the best approximation and mathematical economics problems ⋮ On social welfare functionals: representation theorems and equivalence classes ⋮ Smooth feasible solutions to a dual Monge–Kantorovich problem with applications to best approximation and utility theory in mathematical economics
Cites Work
- Duality and rationality
- Nontransitive-nontotal consumer theory
- Equilibrium in abstract economies without ordered preferences
- An equilibrium existence theorem for a general model without ordered preferences
- Lipschitz pre-orders and Lipschitz utility functions
- Stable Sets and Stable Points of Set-Valued Dynamic Systems with Applications to Game Theory
- Stability theory of dynamical systems.
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