Arrow's Theorem, Weglorz' Models and the Axiom of Choice Export

@article{brunner-m00mlq, abstract = {Applying Weglorz' models of set theory without the axiom of choice, we investigate Arrow-type social welfare functions for infinite societies with restricted coalition algebras. We show that there is a reasonable, nondictatorial social welfare function satisfying ” finite discrimination", if and only if in Weglorz' model there is a free ultrafilter on a set representing the individuals. AMS-subject classification: 03E35 (Consistency and Independence Proofs), 90A08 (Social Choice). Journal of Economic Literature Classifications: D71 (Social Choice; Clubs; Committees), A12 (Relation of Economics to Other Disciplines).}, author = {Brunner, Norbert and Mihara, H. R.}, citeulike-article-id = {2818045}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/1521-3870(200008)46:3<335::AID-MALQ335>3.0.CO;2-X}, citeulike-linkout-1 = {http://dx.doi.org/10.1002/1521-3870(200008)46:3%3C335::AID-MALQ335%3E3.0.CO;2-X}, doi = {10.1002/1521-3870(200008)46:3%3C335::AID-MALQ335%3E3.0.CO;2-X}, journal = {Mathematical Logic Quarterly}, keywords = {anonymity, arrow-impossibility-theorem, axiomatic\_set\_theory, ecological-welfare-functions, economics, permutation-models, political\_science, social\_choice, ultrafilters, vita, weglorzs-models}, number = {3}, pages = {335--359}, posted-at = {2008-05-21 03:19:00}, priority = {0}, title = {Arrow's Theorem, Weglorz' Models and the Axiom of Choice}, url = {http://dx.doi.org/10.1002/1521-3870(200008)46:3%3C335::AID-MALQ335%3E3.0.CO;2-X}, volume = {46}, year = {2000} }

TY - JOUR ID - brunner-m00mlq L3 - citeulike-article-id:2818045 N2 - Applying Weglorz' models of set theory without the axiom of choice, we investigate Arrow-type social welfare functions for infinite societies with restricted coalition algebras. We show that there is a reasonable, nondictatorial social welfare function satisfying “finite discrimination", if and only if in Weglorz' model there is a free ultrafilter on a set representing the individuals. AMS-subject classification: 03E35 (Consistency and Independence Proofs), 90A08 (Social Choice). Journal of Economic Literature Classifications: D71 (Social Choice; Clubs; Committees), A12 (Relation of Economics to Other Disciplines). IS - 3 JF - Mathematical Logic Quarterly EP - 359 TI - Arrow's Theorem, Weglorz' Models and the Axiom of Choice VL - 46 SP - 335 KW - anonymity KW - arrow-impossibility-theorem KW - axiomatic_set_theory KW - ecological-welfare-functions KW - economics KW - permutation-models KW - political_science KW - social_choice KW - ultrafilters KW - vita KW - weglorzs-models AU - Brunner, Norbert AU - Mihara, HR PY - 2000/// UR - http://dx.doi.org/10.1002/1521-3870(200008)46:3%3C335::AID-MALQ335%3E3.0.CO;2-X ER -