@misc{2316255,
  abstract     = {We prove that a preference relation which is continuous on every straight line has a utility representation if its domain is a convex subset of a finite dimensional vector space. Our condition on the domain of a preference relation is stronger than Eilenberg (1941) and Debreu (1959, 1964), but our condition on the continuity of a preference relation is strictly weaker than theirs.},
  author       = {Inoue, Tomoki},
  issn         = {0931-6558},
  language     = {English},
  number       = {401},
  publisher    = {Universit{\"a}t Bielefeld},
  title        = {A utility representation theorem with weaker continuity condition},
  year         = {2008},
}

TY  - GEN
ID  - 2316255
TI  - A utility representation theorem with weaker continuity condition
AU  - Inoue, Tomoki
PY  - 2008
AB  - We prove that a preference relation which is continuous on every straight line has a utility representation if its domain is a convex subset of a finite dimensional vector space. Our condition on the domain of a preference relation is stronger than Eilenberg (1941) and Debreu (1959, 1964), but our condition on the continuity of a preference relation is strictly weaker than theirs.
KW  - Linear continuity
KW  - Utility representation
IS  - 401
PB  - Universität Bielefeld
SN  - 0931-6558
U3  - PUB:ID 2316255
UR  - http://www.imw.uni-bielefeld.de/papers/files/imw-wp-401.pdf
UR  - http://nbn-resolving.de/urn:nbn:de:hbz:361-13695
ER  -