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Bergstrom-Walker Theorem

From Wikipedia, the free encyclopedia

Bergstrom-Walker Theorem is a result in economics which state that for a lower semi-continuous and acyclic preference ordering on a compact budget set one can always find a maximal element.[1][2]

  1. ↑ Alcantud, J.C. R. (2002-02-01). "Characterization of the existence of maximal elements of acyclic relations". Economic Theory. 19 (2): 407–416. doi:10.1007/PL00004219. ISSN 1432-0479.
  2. ↑ Campbell, Donald E; Walker, Mark (April 1990). "Maximal elements of weakly continuous relations". Journal of Economic Theory. 50 (2): 459–464. doi:10.1016/0022-0531(90)90013-A. ISSN 0022-0531.