The continuity postulate in economic theory: a deconstruction and an integration
From MaRDI portal
Publication:2164327
DOI10.1016/j.jmateco.2022.102704zbMath1497.91116arXiv2108.11736OpenAlexW3195442721MaRDI QIDQ2164327
Publication date: 12 August 2022
Published in: Journal of Mathematical Economics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.11736
Related Items (3)
Modal preference structures ⋮ Continuity postulates and solvability axioms in economic theory and in mathematical psychology: a consolidation of the theory of individual choice ⋮ The intermediate value theorem and decision-making in psychology and economics: an expositional consolidation
Cites Work
- Canonical utility functions and continuous preference extensions
- Continuity and completeness under risk
- The Yannelis-Prabhakar theorem on upper semi-continuous selections in paracompact spaces: extensions and applications
- A utility representation theorem with weaker continuity condition
- Ordered topological spaces and the theorems of Debreu and Peleg
- Nontransitive-nontotal consumer theory
- Asymptotic methods in statistical decision theory
- An axiomatic characterization of preferences under uncertainty: Weakening the independence axiom
- The algebraic versus the topological approach to additive representations
- Nine kinds of quasiconcavity and concavity
- Savage's theorem with a finite number of states
- Partially finite convex programming. I: Quasi relative interiors and duality theory
- Additive representations on rank-ordered sets. II: The topological approach
- Preferences which have open graphs
- A general extension theorem for binary relations
- Continuous extension of preferences
- Choquet expected utility with a finite state space: Commutativity and act-independence
- On some equivalent approaches to mathematical utility theory
- Notions of relative interior in Banach spaces
- Expected utility theory without the completeness axiom.
- On Wold's approach to representation of preferences
- Continuity and completeness of strongly independent preorders
- A continuous tale on continuous and separately continuous functions
- Representations of preference orderings
- Utility maximization, choice and preference
- Continuous linear representability of binary relations
- Necessary and possible preference structures
- Topological connectedness and behavioral assumptions on preferences: a two-way relationship
- On abstract economies with an arbitrary set of players and action sets in locally-convex topological vector spaces
- Walrasian equilibrium theory with and without free-disposal: theorems and counterexamples in an infinite-agent context
- A bi-preference interplay between transitivity and completeness: reformulating and extending Schmeidler's theorem
- Subjective expected utility with non-additive probabilities on finite state spaces
- Savage for dummies and experts
- On an extension of a theorem of Eilenberg and a characterization of topological connectedness
- On the consistency and the decisiveness of the double-minded decision-maker
- Completeness and transitivity of preferences on mixture sets
- Continuity, completeness, betweenness and cone-monotonicity
- (Hemi)continuity of additive preference preorders
- Utilitarianism for infinite utility streams: a new welfare criterion and its axiomatic characterization
- Weighted approximation for algebras and modules of continuous functions. Real and self-adjoint complex cases
- Uniform expected utility criteria for decision making under ignorance or objective ambiguity
- On continuity of incomplete preferences
- Convex sets in linear spaces
- On the continuity of functions of several variables
- Continuity postulates and solvability axioms in economic theory and in mathematical psychology: a consolidation of the theory of individual choice
- Framing Contingencies
- Objective and Subjective Rationality in a Multiple Prior Model
- Continuity of Preference Relations for Separable Topologies
- The Nontransitive Consumer
- The Theorems of Debreu and Peleg for Ordered Topological Spaces
- The Utility Theorems of Wold, Debreu, and Arrow-Hahn
- Convexity is equivalent to midpoint convexity combined with strict quasiconvextiy
- The Unimportance of the Intransitivity of Separable Preferences
- Savage's P3 Is Redundant
- Extension of Monotonic Functions and Representation of Preferences
- Continuity and Continuous Multi-utility Representations of Nontotal Preorders: Some Considerations Concerning Restrictiveness
- Binary Relations in Mathematical Economics: On Continuity, Additivity and Monotonicity Postulates in Eilenberg, Villegas and DeGroot
- Mathematical Topics on Representations of Ordered Structures and Utility Theory
- Ambiguity Aversion, Robustness, and the Variational Representation of Preferences
- On Qualitative Probability $/sigma$-Algebras
- The Relationship Between Transitive Preference and the Structure of the Choice Space
- Nonstandard Analysis
- Aggregating Infinite Utility Streams with InterGenerational Equity: The Impossibility of Being Paretian
- Continuity Properties of Paretian Utility
- Existence of Competitive Equilibria in Markets with a Continuum of Traders
- On Continuity of a Partial Order
- A CALCULUS PROOF OF THE EXISTENCE OF A CONTINUOUS UTILITY FUNCTION (1)
- Joint Continuity of Monotonic Functions
- Competitive Equilibria in Markets with a Continuum of Traders and Incomplete Preferences
- Utility Functions for Partially Ordered Topological Spaces
- A Condition for the Completeness of Partial Preference Relations
- An Axiomatic Basis for the Ramsey-Weizsacker Overtaking Criterion
- A Limit Theorem on the Cores of Large Standard Exchange Economies
- Rational Behavior, Uncertain Prospects, and Measurable Utility
- An Axiomatic Approach to Measurable Utility
- Partially Ordered Topological Spaces
- On local convexity in Hilbert space
- The Continuity of Functions of Many Variables
- Consumption Smoothing and Discounting in Infinite-Horizon, Discrete-Choice Problems
- A note on linear utility
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The continuity postulate in economic theory: a deconstruction and an integration