Ballico, E. On the algebraic and holomorphic social choice problem. (English) Zbl 1068.14040 Int. J. Pure Appl. Math. 17, No. 4, 557-560 (2004). Summary: Let \(X\) be an integral projective curve, \(n\geq 2\), and \(\delta_{X,n}: X\to X^n\) the diagonal map. Here we show the non-existence of morphisms \(\pi: X^n\to X\) such that \(\pi\circ h=\pi\) for every \(h\in S_n\) and \(\pi\circ\delta_{X,n}= \text{Id}_X\). We extend this non-existence result to non-everywhere defined maps. This is connected to the so-called social choice functions. MSC: 14H99 Curves in algebraic geometry 14A15 Schemes and morphisms 32J18 Compact complex \(n\)-folds 91B14 Social choice 91B50 General equilibrium theory Keywords:market equilibrium PDFBibTeX XMLCite \textit{E. Ballico}, Int. J. Pure Appl. Math. 17, No. 4, 557--560 (2004; Zbl 1068.14040)