Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/119664
Authors: 
Sertel, Murat
Slinko, Arkadii
Year of Publication: 
2002
Series/Report no.: 
Nota di Lavoro, Fondazione Eni Enrico Mattei 50.2002
Abstract: 
We investigate the ways in which a linear order on a finite set A can be consistently extended to a linear order on a set Pk(A) of multisets on A of fixed cardinality k. We show that for card(A) = 3 all linear orders on Pk(A) are additive and classify them by means of Farey fractions. For card(A) minor/equal 4 we show that there are non-additive consistent linear orders of Pk(A), we prove that they cannot be extended to a linear order of Pk(A) for K sufficiently large. We give the lower bounds for the number of additive linear orders in P2(A) and the total number of consistent linear orders in P2(A).
Subjects: 
Multiset
additive linear orders
expected utility structure
JEL: 
D71
Document Type: 
Working Paper

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