19 citations · 51 across the 9 of their papers we have counts for
9 papers
Existence of Equilibria in Large Competitive Markets with Bads, Production and Comprehensive Externalities
Robert M. Anderson, Haosui Duanmu, M. Ali Khan +1
This paper establishes existence of equilibrium in a measure-theoretic general equilibrium (MGE) model with production, bads, and comprehensive externalities. These features are jo…
On Continuity of Separately Convex Preferences and Correspondences
Metin Uyanik, Aniruddha Ghosh, M. Ali Khan
We study separate convexity for preferences and correspondences, and show that this weakening of the usual convexity postulate is strong enough to recover standard equivalences amo…
Continuity Postulates and Solvability Axioms in Economic Theory and in Mathematical Psychology: A Consolidation of the Theory of Individual Choice
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 su…
The Continuity Postulate in Economic Theory: A Deconstruction and an Integration
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,…
Binary Relations in Mathematical Economics: On the Continuity, Additivity and Monotonicity Postulates in Eilenberg, Villegas and DeGroot
M. Ali Khan, Metin Uyanik
This chapter examines how positivity and order play out in two important questions in mathematical economics, and in so doing, subjects the postulates of continuity, additivity and…
The Yannelis-Prabhakar Theorem on Upper Semi-Continuous Selections in Paracompact Spaces: Extensions and Applications
M. Ali Khan, Metin Uyanik
In a 1983 paper, Yannelis-Prabhakar rely on Michael's selection theorem to guarantee a continuous selection in the context of the existence of maximal elements and equilibria in ab…