Lexicographic Orders, Utilities and Decision Rules¶
Fishburn, P. C. (1974). Lexicographic Orders, Utilities and Decision Rules: A Survey. Management Science, 20(11), 1442-1471.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Mechanisms¶
- Lexicographic Priority Rule
- Its central failure mode is that it is non-compensatory: it discards the magnitude of every criterion below the deciding one, so a hair's-breadth lead on criterion 1 can block a candidate that is overwhelmingly better on criteria 2 and 3.
This sourceDefines lexicographic comparison by the first differing criterion, making lower-priority advantages noncompensatory once a higher criterion decides.
- Its central failure mode is that it is non-compensatory: it discards the magnitude of every criterion below the deciding one, so a hair's-breadth lead on criterion 1 can block a candidate that is overwhelmingly better on criteria 2 and 3.
- Tie-Breaker Table
- A lexicographic cascade — apply criterion one; only on a tie consult criterion two
This sourceDefines lexicographic ordering as applying criteria in priority order and consulting a later criterion only when earlier criteria do not distinguish the alternatives.
- A lexicographic cascade — apply criterion one; only on a tie consult criterion two
Verification¶
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Registry ID ref:a0fe02aebd28 · see in the full table