5 citations · 11 across the 8 of their papers we have counts for
8 papers
On Existence of Berk-Nash Equilibria in Misspecified Markov Decision Processes with Infinite Spaces
Robert M. Anderson, Haosui Duanmu, Aniruddha Ghosh +1
Model misspecification is a critical issue in many areas of theoretical and empirical economics. In the specific context of misspecified Markov Decision Processes, Esponda and Pouz…
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…
Fuzzy Core Equivalence in Large Economies: A Role for the Infinite-Dimensional Lyapunov Theorem
M. Ali Khan, Nobusumi Sagara
We present the equivalence between the fuzzy core and the core under minimal assumptions. Due to the exact version of the Lyapunov convexity theorem in Banach spaces, we clarify th…
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…
On an Extension of a Theorem of Eilenberg and a Characterization of Topological Connectedness
M. Ali Khan, Metin Uyanik
On taking a non-trivial and semi-transitive bi-relation constituted by two (hard and soft) binary relations, we report a (i) p-continuity assumption that guarantees the completenes…
Fatou's Lemma, Galerkin Approximations and the Existence of Walrasian Equilibria in Infinite Dimensions
M. Ali Khan, Nobusumi Sagara
This essay has three objectives: (i) to report recent generalizations of Fatou's lemma to multi-functions taking values in a Banach space, and framed in terms of both Bochner and G…
Relaxed Large Economies with Infinite-Dimensional Commodity Spaces: The Existence of Walrasian Equilibria
M. Ali Khan, Nobusumi Sagara
Whereas "convexification by aggregation" is a well-understood procedure in mathematical economics, "convexification by randomization" has largely been limited to theories of statis…