no code implementations • 1 Oct 2023 • Metin Uyanik, Aniruddha Ghosh, M. Ali Khan
We provide necessary and sufficient conditions for a correspondence taking values in a finite-dimensional Euclidean space to be open so as to revisit the pioneering work of Schmeidler (1969), Shafer (1974), Shafer-Sonnenschein (1975) and Bergstrom-Rader-Parks (1976) to answer several questions they and their followers left open.
no code implementations • 17 Feb 2022 • Aniruddha Ghosh, M. Ali Khan, Metin Uyanik
This paper presents four theorems that connect continuity postulates in mathematical economics to solvability axioms in mathematical psychology, and ranks them under alternative supplementary assumptions.
no code implementations • 26 Aug 2021 • Metin Uyanik, M. Ali Khan
This paper presents six theorems and ten propositions that can be read as deconstructing and integrating the continuity postulate under the rubric of pioneering work of Eilenberg, Wold, von Neumann-Morgenstern, Herstein-Milnor and Debreu.