no code implementations • 6 Mar 2024 • M. Ali Khan, Arthur Paul Pedersen, David Schrittesser
This letter: (i) reformulates the theorems of Adler-Daskalakis-Papadimitriou (2009) and Raimondo (2023) on two-player adversarial games as a generalized result with a simplified proof, (ii) forges connections to work on strategically zero-sum games by Moulin-Vial (1978), and on axiomatizations of multi-linear utilities of n-person games by Fishburn-Roberts (1976, 1978).
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 • 16 Jun 2022 • Robert M. Anderson, Haosui Duanmu, Aniruddha Ghosh, M. Ali Khan
Model misspecification is a critical issue in many areas of theoretical and empirical economics.
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 • 4 Feb 2022 • Liuchun Deng, Minako Fujio, M. Ali Khan
We provide a complete characterization of optimal extinction in a two-sector model of economic growth through three results, surprising in both their simplicity and intricacy.
no code implementations • 31 Dec 2021 • M. Ali Khan, Nobusumi Sagara
We present the equivalence between the fuzzy core and the core under minimal 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.