Existence of homogeneous representations of interval orders on a cone in a topological vector space

Social Choice and Welfare

Volumn 24, Issue 1, 2005, Pages 45-61

  Bosi, Gianni ^a   Candeal, Juan Carlos ^b   Induráin, Esteban ^c   Zudaire, Margarita ^d  

^a UNIVERSITY OF TRIESTE   (Italy)

^b UNIVERSITY OF ZARAGOZA   (Spain)

^c PUBLIC UNIVERSITY OF NAVARRE   (Spain)

^d Inst De Educacion Secundaria B   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17444401782     PISSN: 01761714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00355-003-0290-2     Document Type: Article

References (25)

1. Aleskerov F, Monjardet B (2002) Utility maximization, choice and preference. Springer, Berlin Heidelberg New York
2. Arrow KJ (1963) Social choice and individual values. Wiley, New York
3. Bilgiç T (1998) Interval-valued preference structures. Eur J Oper Res 105: 162-183
4. Bilgiç T (2001) Fusing interval preferences. Proceedings of EUROFUSE Workshop on Preference Modelling and Applications, Granada, Spain. pp 253-258
5. Bosi G (1998) A note on the existence of continuous representations of homothetic preferences on a topological vector space. Ann Oper Res 80: 263-268
6. Bosi G (2002) Semicontinuous representability of homothetic interval orders by means of two homogeneous functionals. Theory Decision 52: 303-312
7. Bosi G, Candeal JC, Induráin E (2000) Continuous representability of homothetic preferences by means of homogeneous utility functions. J Math Eco 33(3): 291-298
8. Bosi G, Candeal JC, Induráin E, Olóriz E, Zudaire, M (2001) Numerical representations of interval orders. Order 18(2): 171-190
9. Bosi G, Isler, R (1995) Representing preferences with nontransitive indifference by a single real-valued function. J Math Econ 24: 621-631
10. Bridges DS (1983) Numerical representation of intransitive preferences on a countable set. J Econ Theory 30: 213-217
11. Bridges DS (1985) Representing interval orders by a single real-valued function. J Econ Theory 36: 149-155
12. Bridges DS (1986) Numerical representation of interval orders on a topological space. J Econ Theory 38: 160-166
13. Bridges DS, Mehta GB (1995) Representations of preference orderings. Springer, Berlin Heidelberg New York
14. Candeal JC, Induráin E (1995) Homothetic and weakly homothetic preferences. J Math Econ 24: 147-158
15. Chateauneuf A (1987) Continuous representation of a preference relation on a connected topological space. J Math Econ 16: 139-146
16. Debreu G (1964) Continuous properties of Paretian utility. Int Econ Rev 5: 285-293
17. Doignon JP, Ducamp A, Falmagne JC (1984) On realizable biorders and the biorder dimension of a relation. J Math Psychol 28: 73-109
18. Dow G, Werlang SRC (1994) Homothetic preference. J Math Econ 21: 389-394
19. Fishburn PC (1970) Intransitive indifference with unequal indifference intervals. J Math Psychol 7: 144-149
20. Fishburn PC (1970) Intransitive indifference in preference theory: a survey. Oper Res 18(2): 207-228
21. Fishburn PC (1973) Interval representations for interval orders and semiorders. J Math Psychol 10: 91-105
22. Fishburn PC (1985) Interval orders and interval graphs. Wiley, New York
23. Gensemer SH (1987) On relationships between numerical representations of interval orders and semiorders. J Econ Theory 43: 157-169
24. Olóriz E, Candeal JC, Induráin E (1998) Representability of interval orders. J Econ Theory 78(1): 219-227
25. Pirlot M, Vincke P (1997) Semiorders. Kluwer, Dordrecht