Utility in Social Choice

Utility in Social Choice. Bossert, W. & Weymark, J. A. In Barberà, S., Hammond, P. J., & Seidl, C., editors, Handbook of Utility Theory: Volume 2 Extensions, pages 1099–1177. Springer US, Boston, MA, 2004.

Paper doi abstract bibtex

In Arrovian [Arrow (1951, 1963)] social choice theory, the objective is to construct a social welfare function—a mapping which assigns a social preference ordering to each admissible profile of individual preferences—satisfying several a priori appealing conditions. Arrow showed that the only social welfare functions satisfying his axioms are dictatorial in the sense that there exists an individual whose strict preference over any two social alternatives is always replicated in the social ordering, no matter what the preferences of the remaining members of society happen to be. This negative result has initiated a series of contributions which attempt to avoid Arrow’s impossibility theorem by weakening one or more of his original axioms. The results in this literature are, on the whole, rather negative as well.

@incollection{bossert_utility_2004,
	address = {Boston, MA},
	title = {Utility in {Social} {Choice}},
	isbn = {978-1-4020-7964-1},
	url = {https://doi.org/10.1007/978-1-4020-7964-1_7},
	abstract = {In Arrovian [Arrow (1951, 1963)] social choice theory, the objective is to construct a social welfare function—a mapping which assigns a social preference ordering to each admissible profile of individual preferences—satisfying several a priori appealing conditions. Arrow showed that the only social welfare functions satisfying his axioms are dictatorial in the sense that there exists an individual whose strict preference over any two social alternatives is always replicated in the social ordering, no matter what the preferences of the remaining members of society happen to be. This negative result has initiated a series of contributions which attempt to avoid Arrow’s impossibility theorem by weakening one or more of his original axioms. The results in this literature are, on the whole, rather negative as well.},
	booktitle = {Handbook of {Utility} {Theory}: {Volume} 2 {Extensions}},
	publisher = {Springer US},
	author = {Bossert, Walter and Weymark, John A.},
	editor = {Barberà, Salvador and Hammond, Peter J. and Seidl, Christian},
	year = {2004},
	doi = {10.1007/978-1-4020-7964-1_7},
	pages = {1099--1177},
}

Downloads: 0

{"_id":"yi8PaXctNPQawaSZQ","bibbaseid":"bossert-weymark-utilityinsocialchoice-2004","author_short":["Bossert, W.","Weymark, J. A."],"bibdata":{"bibtype":"incollection","type":"incollection","address":"Boston, MA","title":"Utility in Social Choice","isbn":"978-1-4020-7964-1","url":"https://doi.org/10.1007/978-1-4020-7964-1_7","abstract":"In Arrovian [Arrow (1951, 1963)] social choice theory, the objective is to construct a social welfare function—a mapping which assigns a social preference ordering to each admissible profile of individual preferences—satisfying several a priori appealing conditions. Arrow showed that the only social welfare functions satisfying his axioms are dictatorial in the sense that there exists an individual whose strict preference over any two social alternatives is always replicated in the social ordering, no matter what the preferences of the remaining members of society happen to be. This negative result has initiated a series of contributions which attempt to avoid Arrow’s impossibility theorem by weakening one or more of his original axioms. The results in this literature are, on the whole, rather negative as well.","booktitle":"Handbook of Utility Theory: Volume 2 Extensions","publisher":"Springer US","author":[{"propositions":[],"lastnames":["Bossert"],"firstnames":["Walter"],"suffixes":[]},{"propositions":[],"lastnames":["Weymark"],"firstnames":["John","A."],"suffixes":[]}],"editor":[{"propositions":[],"lastnames":["Barberà"],"firstnames":["Salvador"],"suffixes":[]},{"propositions":[],"lastnames":["Hammond"],"firstnames":["Peter","J."],"suffixes":[]},{"propositions":[],"lastnames":["Seidl"],"firstnames":["Christian"],"suffixes":[]}],"year":"2004","doi":"10.1007/978-1-4020-7964-1_7","pages":"1099–1177","bibtex":"@incollection{bossert_utility_2004,\n\taddress = {Boston, MA},\n\ttitle = {Utility in {Social} {Choice}},\n\tisbn = {978-1-4020-7964-1},\n\turl = {https://doi.org/10.1007/978-1-4020-7964-1_7},\n\tabstract = {In Arrovian [Arrow (1951, 1963)] social choice theory, the objective is to construct a social welfare function—a mapping which assigns a social preference ordering to each admissible profile of individual preferences—satisfying several a priori appealing conditions. Arrow showed that the only social welfare functions satisfying his axioms are dictatorial in the sense that there exists an individual whose strict preference over any two social alternatives is always replicated in the social ordering, no matter what the preferences of the remaining members of society happen to be. This negative result has initiated a series of contributions which attempt to avoid Arrow’s impossibility theorem by weakening one or more of his original axioms. The results in this literature are, on the whole, rather negative as well.},\n\tbooktitle = {Handbook of {Utility} {Theory}: {Volume} 2 {Extensions}},\n\tpublisher = {Springer US},\n\tauthor = {Bossert, Walter and Weymark, John A.},\n\teditor = {Barberà, Salvador and Hammond, Peter J. and Seidl, Christian},\n\tyear = {2004},\n\tdoi = {10.1007/978-1-4020-7964-1_7},\n\tpages = {1099--1177},\n}\n\n\n\n\n\n\n\n","author_short":["Bossert, W.","Weymark, J. A."],"editor_short":["Barberà, S.","Hammond, P. J.","Seidl, C."],"key":"bossert_utility_2004","id":"bossert_utility_2004","bibbaseid":"bossert-weymark-utilityinsocialchoice-2004","role":"author","urls":{"Paper":"https://doi.org/10.1007/978-1-4020-7964-1_7"},"metadata":{"authorlinks":{}},"downloads":0,"html":""},"bibtype":"incollection","biburl":"https://bibbase.org/zotero/daniel.r","dataSources":["bMNYYYE8ALPmpK328"],"keywords":[],"search_terms":["utility","social","choice","bossert","weymark"],"title":"Utility in Social Choice","year":2004}