Mathematics and Economics, with Special Attention to Social Choice Theory

dc.authorscopusid56250643200
dc.contributor.authorSalles, M.
dc.date.accessioned2024-07-18T20:16:45Z
dc.date.available2024-07-18T20:16:45Z
dc.date.issued2021
dc.description.abstractThe historical context of the usage of mathematics in economics and some other related social sciences is briefly described. This usage is then emphasized in three specific topics: (1) the analysis of a competitive market, regarding in particular the existence of equilibrium and the relations between the concepts of equilibrium and of optimality; (2) in social choice theory, Arrow’s theorem and results about the strategy-proofness of voting procedures; and (3) in game theory, focusing on cooperative games, the relations between the concepts of core and of competitive equilibrium, and an analysis of Shapley-Shubik voting power index in the case of the voting procedure used within the UN Security Council. The use of mathematics in economics has been questioned. Some responses to this questioning are provided. Finally, the thesis of the “indispensability of mathematics” is defended in the case of the social sciences. © Springer Nature Switzerland AG 2021.en_US
dc.identifier.doi10.1007/978-3-319-57072-3_48
dc.identifier.endpage1636en_US
dc.identifier.isbn9783319570723
dc.identifier.isbn9783319570716
dc.identifier.scopus2-s2.0-85159490814en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage1613en_US
dc.identifier.urihttps://doi.org/10.1007/978-3-319-57072-3_48
dc.identifier.urihttps://hdl.handle.net/11411/6246
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer International Publishingen_US
dc.relation.ispartofHandbook of the Mathematics of the Arts and Sciencesen_US
dc.relation.publicationcategoryKitap Bölümü - Uluslararasıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectArrow's Theoremen_US
dc.subjectEconomicsen_US
dc.subjectGame Theoryen_US
dc.subjectGeneral Equilibriumen_US
dc.subjectHeterodoxy İn Economicsen_US
dc.subjectIndispensability Of Mathematicsen_US
dc.subjectMathematicsen_US
dc.subjectPareto-Optimalityen_US
dc.subjectSocial Choiceen_US
dc.subjectStrategy-Proofnessen_US
dc.subjectVotingen_US
dc.titleMathematics and Economics, with Special Attention to Social Choice Theory
dc.typeBook Chapter

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