Utility representations of preferences: some resultsTominc, Julija (Avtor)
Bosi, Gianni (Mentor)
Košir, Tomaž (Mentor)
utility functioncontinuityNachbin-Uryshon approachDebreu separabilityThe thesis presents some classical results concerning the Utility Theory. We present the requirements that a preorder must satisfy in order to be representable with a utility function while also exploring weaker conditions such as in the case of quasi-preorders. We establish the existence of a utility function, and explore the requirements for its upper semi-continuity in the form of the Rader theorem. Further using the Uryshon-Nachbin approach we present the proofs for both the classical Debreu theorem and the Eilenberg theorem, guaranteeing us the existence of a continuous utility on second countable topological spaces and connected separable topological spaces, respectively.20182018-09-26 07:45:27Delo diplomskega seminarja/zaključno seminarsko delo/naloga103790sl