We characterize a rich class of valuated matroids, called R-minor valuated matroids that includes the indicator functions of matroids, and is closed under operations such as taking minors, duality, and induction by network. We exhibit a family of valuated matroids that are not R-minor based on sparse paving matroids. Valuated matroids are inherently related to gross substitute valuations in mathematical economics. By the same token we refute the Matroid Based Valuation Conjecture by Ostrovsky and Paes Leme (Theoretical Economics 2015) asserting that every gross substitute valuation arises from weighted matroid rank functions by repeated applications of merge and endowment operations. Our result also has implications in the context of Lorentzian polynomials: it reveals the limitations of known construction operations.

翻译：我们的特征是一大批价值丰厚的、称为R-minor valuor valued matilids,它包括了机器人的指数功能,在诸如抓走未成年人、双重性和网络诱导等行动下关闭。我们展示了一组价值丰厚的、并非基于稀少的铺面型机器人的R-minor的机体。价值低下的机体本质上与数学经济学中的总替代估值有关。同样,我们驳斥了Ostrovsky和Paes Leme(理论经济学,2015年)的“基于机器人的估价预测”, 声称每一种总替代估值都是通过反复应用合并和捐赠作业从加权的机体级功能中产生的。我们的结果还影响到了Lorentzian 多边营养学:它揭示了已知建筑作业的局限性。</s>