Implementation of Democratic Social Choice Functions Export

@article{citeulike:5997143, abstract = {A social choice function is said to be implementable if and only if there exists a game form such that for all preference profiles an equilibrium strategy n-tuple exists and any equilibrium strategy n-tuples of the game yield outcomes in the social choice set. A social choice function is defined to be minimally democratic if and only if whenever there exists an alternative which is ranked first by n - 1 voters and is no lower than second for the last voter, then the social choice must be uniquely that alternative. No constraints are placed on the social choice function for other preference profiles. Using the classical definitions of equilibria for n-person games-namely Nash and strong equilibria, it is shown here that over unrestricted preference domains, as long as there are at least as many alternatives as individuals, no minimally democratic social choice function is implementable. A similar result holds in certain restricted domains of the type assumed by economists over public goods spaces. We then show that a different notion of equilibrium-namely that of sophisticated equilibrium-allows for implementation of democratic social choice functions also having further appealing properties.}, author = {Ferejohn, John A. and Grether, David M. and McKelvey, Richard D.}, citeulike-article-id = {5997143}, citeulike-linkout-0 = {http://dx.doi.org/10.2307/2297367}, citeulike-linkout-1 = {http://www.jstor.org/stable/2297367}, doi = {10.2307/2297367}, issn = {00346527}, journal = {The Review of Economic Studies}, keywords = {implementation, mechanism\_design, political\_economy, social\_choice, voting}, number = {3}, pages = {439--446}, posted-at = {2009-10-23 10:46:48}, priority = {4}, publisher = {The Review of Economic Studies Ltd.}, title = {Implementation of Democratic Social Choice Functions}, url = {http://dx.doi.org/10.2307/2297367}, volume = {49}, year = {1982} }

TY - JOUR ID - citeulike:5997143 L3 - citeulike-article-id:5997143 N2 - A social choice function is said to be implementable if and only if there exists a game form such that for all preference profiles an equilibrium strategy n-tuple exists and any equilibrium strategy n-tuples of the game yield outcomes in the social choice set. A social choice function is defined to be minimally democratic if and only if whenever there exists an alternative which is ranked first by n - 1 voters and is no lower than second for the last voter, then the social choice must be uniquely that alternative. No constraints are placed on the social choice function for other preference profiles. Using the classical definitions of equilibria for n-person games-namely Nash and strong equilibria, it is shown here that over unrestricted preference domains, as long as there are at least as many alternatives as individuals, no minimally democratic social choice function is implementable. A similar result holds in certain restricted domains of the type assumed by economists over public goods spaces. We then show that a different notion of equilibrium-namely that of sophisticated equilibrium-allows for implementation of democratic social choice functions also having further appealing properties. IS - 3 JF - The Review of Economic Studies SN - 00346527 EP - 446 TI - Implementation of Democratic Social Choice Functions PB - The Review of Economic Studies Ltd. VL - 49 SP - 439 KW - implementation KW - mechanism_design KW - political_economy KW - social_choice KW - voting AU - Ferejohn, John AU - Grether, David AU - McKelvey, Richard PY - 1982/// UR - http://dx.doi.org/10.2307/2297367 ER -