Mathematics and Economics, with Special Attention to Social Choice Theory
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer International Publishing
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The 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.
Açıklama
Anahtar Kelimeler
Arrow's Theorem, Economics, Game Theory, General Equilibrium, Heterodoxy İn Economics, Indispensability Of Mathematics, Mathematics, Pareto-Optimality, Social Choice, Strategy-Proofness, Voting
Kaynak
Handbook of the Mathematics of the Arts and Sciences
WoS Q Değeri
Scopus Q Değeri
N/A
