A new characterization of the path independent choice functions

Mathematical social sciences

Volumn 51, Issue 2, 2006, Pages 238-245

  Danilov, V ^a   Koshevoy, G ^a  

^a CENTRAL ECONOMICS AND MATHEMATICS INSTITUTE   (Russian Federation)

Author keywords

Choice function; Closure operator; Convex geometry; Dependence relation; Path independence

Indexed keywords

EID: 32644467746     PISSN: 01654896     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mathsocsci.2004.11.001     Document Type: Article

References (9)

1. M.A. Aizerman A.V. Malishevski General theory of best variants choice: some aspects IEEE Transactions on Automatic Control AC-26 5 1981 1030-1041
2. Aizerman, M.A., Aleskerov, F. 1995. Theory of Choice. North-Holland, Elsevier, Amsterdam.
3. D.H. Blair G. Bordes J.S. Kelly K. Suzumura Impossibility theorems without collective rationality Journal of Economic Theory 13 1976 361-379
4. N. Caspard B. Monjardet The lattice of closed systems, closure operators and implicational systems on a finite set: Survey Discrete and Applied Mathematics 127 2 2003 241-269
5. P.H. Edelman R.E. Jamison The theory of convex geometries Geometriae Dedicata 19 1985 247-270
6. G.A. Koshevoy Choice functions and abstract convex geometry Mathematical Social Sciences 38 5 1999 35-44
7. G.A. Koshevoy Plott choice functions and convex geometries Ekonomika i Matematicheskie Metody 68 3 2003 88-96
8. B. Monjardet V. Raderanirina The duality between the anti-exchange closure operators and the path independent choice operators on a finite set Mathematical Social Sciences 41 2001 131-150
9. C.R. Plott Path independence, rationality and social choice Econometrica 41 6 1973 1075-1091