We consider problems originating in economics that may be solved
automatically using mathematical software. We present and make freely available
a new benchmark set of such problems. The problems have been shown to fall
within the framework of non-linear real arithmetic, and so are in theory
soluble via Quantifier Elimination (QE) technology as usually implemented in
computer algebra systems. Further, they all can be phrased in prenex normal
form with only existential quantifiers and so are also admissible to those
Satisfiability Module Theory (SMT) solvers that support the QF_NRA. There is a
great body of work considering QE and SMT application in science and
engineering, but we demonstrate here that there is potential for this
technology also in the social sciences.Comment: To appear in Proc. SC-Square 2018. Dataset described is hosted by
Zenodo at: https://doi.org/10.5281/zenodo.1226892 . arXiv admin note:
substantial text overlap with arXiv:1804.1003