Arrow's impossibility theorem: Concise proof and infinite voters Export

@article{fishburn70, abstract = {Arrow's impossibility theorem for social choice theory is proved by showing that his other conditions imply the contradictory of the condition that the set of individuals is nonempty and finite. These other conditions are shown to be consistent with the hypothesis that the set of individuals is infinite.}, author = {Fishburn, P.}, citeulike-article-id = {3759159}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/0022-0531(70)90015-3}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/0022053170900153}, comment = {Related papers: Arrow's theorem, countably many agents, and more visible invisible dictators http://jp.citeulike.org/user/reiju/article/2818141 Arrow's Theorem and Turing computability http://jp.citeulike.org/user/reiju/article/2818122 }, doi = {10.1016/0022-0531(70)90015-3}, issn = {00220531}, journal = {Journal of Economic Theory}, keywords = {arrow-impossibility-theorem, free-ultrafilters, infinitely-many-players, preference\_aggregation, social\_choice, ultrafilters}, month = {March}, number = {1}, pages = {103--106}, posted-at = {2008-12-09 11:17:09}, priority = {0}, title = {Arrow's impossibility theorem: Concise proof and infinite voters}, url = {http://dx.doi.org/10.1016/0022-0531(70)90015-3}, volume = {2}, year = {1970} }

TY - JOUR ID - fishburn70 L3 - citeulike-article-id:3759159 N2 - Arrow's impossibility theorem for social choice theory is proved by showing that his other conditions imply the contradictory of the condition that the set of individuals is nonempty and finite. These other conditions are shown to be consistent with the hypothesis that the set of individuals is infinite. IS - 1 JF - Journal of Economic Theory SN - 00220531 EP - 106 TI - Arrow's impossibility theorem: Concise proof and infinite voters VL - 2 SP - 103 KW - arrow-impossibility-theorem KW - free-ultrafilters KW - infinitely-many-players KW - preference_aggregation KW - social_choice KW - ultrafilters N1 - Related papers: Arrow's theorem, countably many agents, and more visible invisible dictators http://jp.citeulike.org/user/reiju/article/2818141 Arrow's Theorem and Turing computability http://jp.citeulike.org/user/reiju/article/2818122 AU - Fishburn, P PY - 1970/03// UR - http://dx.doi.org/10.1016/0022-0531(70)90015-3 ER -