Problem grupowego wyboru i reguła 2/3

• Autorzy: Janusz Łyko , Andrzej Misztal , Antoni Smoluk

Warianty tytułu

Problem of Group Choice and the 2/3 Rule

• Języki publikacji: PL

Abstrakty

Omówiono zagadnienie wyboru społecznego, uwzględniając także naturalne preferencje wyboru.

EN

Quality is defined as preference, which means reflexive and transitive relation. On the other hand measurement is a kind of analogy - a homomorphism between similar mathematical structures. Mathematical structure of scale is understood as a family of relations. The paper further develops Arrow's investigations over problem of social choice. Of course there are interdependencies between individual preferences of the members of a group and that preference which governs the whole group. Functions of social choice introduced, under quite national conditions, by Arrow was projections. In this article we have defined also natural social choice preference - called optimal, namely preference which maximizes the index of concordance with individual preferences of the members of the group. Here were also introduced limit members to divide family of all populations into two disjoint subfamilies - those able to govern themselves, and those for which social preferences is from outside. In the space of preferences a metric is also defined and has been shown that the optimal social choice function is strictly connected with optimal approximation in this metric space. At last some Debreu type theorem on existing continuous representation - a utility function - for preferences is formulated with rather simple and natural proof. (original abstract)

Słowa kluczowe

PL

Teoria preferencji; Jakość

EN

Preference theory; Quality

• Czasopismo: Prace Naukowe Akademii Ekonomicznej we Wrocławiu. Ekonometria
• Rocznik: 2001
• Tom: 8
• Numer: nr 915 Zastosowania metod ilościowych
• Strony: 91--105

Twórcy

autor

Janusz Łyko

autor

Andrzej Misztal

autor

Antoni Smoluk

Bibliografia

• Arrow K.J. (1951): Social Choice and Individual Values. New York: John Wiley.
• Beardon A.F., Mehia G.B. (1994): Utility junctions and the order type of the continuum. "Journal of Mathematical Economics" nr 23, s. 387-390.
• Florek J. (2000): Optymalny grupowy wybór. W: Elementy metrologii ekonomicznej. Wydawnictwo AE we Wrocławiu, s. 169-178.
• Łukaszewicz J., Steinhaus H. (1954): O wyznaczaniu środka miedzi sieci telefonicznej. "Zastosowania Matematyki" nr 1, s. 299-307.
• Misztal A. (1998): O twierdzeniu Arrowa. "Ekonomia Matematyczna" nr 2, s. 139-142.
• Parthasarathy T., Raghavan T.E.S. (1971): Some Topics in Two-Person Games. New York: American Elsevier Publishing Company.
• Smoluk A. (1981): Aproksymacje niezmiennicze. "Matematyka Stosowana" XVII, s. 17-22.
• Smoluk A. (1996): Dywersyfikacje i gry. "Przegląd Statystyczny" XLIII, s. 191-203.