Some results on the existence of utility functions on path connected spaces
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Publication:1101325
DOI10.1016/0304-4068(87)90004-8zbMath0642.90018OpenAlexW2042799260WikidataQ126657316 ScholiaQ126657316MaRDI QIDQ1101325
Publication date: 1987
Published in: Journal of Mathematical Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0304-4068(87)90004-8
Banach latticecontinuous preference relationcountably boundedexistence of utility representationspath connected space
Related Items (30)
Existence of a continuous utility function with path monotonicity: The Wold approach ⋮ The Debreu Gap Lemma and some generalizations ⋮ Order preserving functions on ordered topological vector spaces ⋮ On Wold's approach to representation of preferences ⋮ On the existence of continuous preference orderings without utility representations ⋮ A utility representation theorem with weaker continuity condition ⋮ A note on the representation of preferences ⋮ Some results on representation and extension of preferences ⋮ Representable topologies and locally connected spaces ⋮ Infinite-dimensional utility representation theorems ⋮ Strictly monotonic preferences on continuum of goods commodity spaces ⋮ Characterising transitive two-sample tests ⋮ Weakened Transitive Rationality: Invariance of Numerical Representations of Preferences ⋮ Topology and Preference Relations ⋮ The Existence and the Non-existence of Utility Functions in Order-Theoretic, Algebraic and Topological Environments ⋮ A Note on Representable Group Topologies ⋮ Strictly Monotonic Preferences ⋮ The Interplay Between Intergenerational Justice and Mathematical Utility Theory ⋮ Dynamic theory of preferences: habit formation and taste for variety ⋮ Debreu-like properties of utility representations ⋮ On a theorem of Cooper ⋮ On the Arrow-Hahn utility representation method ⋮ Utility functions on locally connected spaces ⋮ The existence of utility functions for weakly continuous preferences on a Banach space ⋮ Constructive utility functions on Banach spaces ⋮ Preference orders and continuous representations ⋮ Continuous representability of homothetic preferences by means of homogeneous utility functions ⋮ Continuous extension of preferences ⋮ Extension of Monotonic Functions and Representation of Preferences ⋮ The non-existence of a utility function and the structure of non-representable preference relations
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