Nontrivial pseudo-utility functions

@inproceedings{Subiza1998NontrivialPF,
  title={Nontrivial pseudo-utility functions},
  author={Bego{\~n}a Subiza and Josep E. Peris},
  year={1998}
}
Abstract A real valued function u : X → R is a pseudo-utility for a binary relation P on X if for all x , y ϵ X such that u ( x ) > u ( y ) then xPy . This kind of numerical representation is trivial in the sense that it always exists (choose u ( x ) as a constant function). In this paper we consider and analyze the existence of a nontrivial type of pseudo-utility function that gives valuable information on the binary relation. 

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