## Lexicographic group decision |

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applicable arbiter arbitrary argument Arrow Assuming belongs changes choice Choose clearly Conclusion consider contradict decide Denoting dependence determine the set Discussion Paper expected utility functions extended fact finer structure follows functions to determine g satisfies gives group decision hence hold hypothesis of Condition IIA is violated implies independence of irrelevant individual preferences invariance ir(c irrelevant alternatives Lemma lexicographic Pareto solution mean u.(x Multidimensional Nash conditions NOTE optimal elements optimal points ordering Pareto inferior persons possible problem Proof properties Putting real valued utilities reasonable repeated result rule sane satisfies Conditions satisfies the Nash singleton Suppose symmetrically contains U(AQ uj(x usual write xl.y xP.y xP*y