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A tropical line appeared in [[Paul Klemperer]]'s design of [[auction]]s used by the [[Bank of England]] during the financial crisis in 2007.<ref>{{Cite weburl = https://www.economics.ox.ac.uk/news/howgeometrycametotherescueduringth title = How geometry came to the rescue during the banking crisisaccessdate = 24 March 2014website = Department of Economics, University of Oxford}}</ref> Yoshinori Shiozawa defined subtropical algebra as maxtimes or mintimes semiring (instead of maxplus and minplus). He found that Ricardian trade theory (international trade without input trade) can be interpreted as subtropical convex algebra.<ref>{{Cite journal doi = 10.1007/s4084401500123title = International trade theory and exotic algebras url=https://www.researchgate.net/publication/280646264 journal = Evolutionary and Institutional Economics Reviewvolume = 12pages = 177–212year = 2015last1 = Shiozawafirst1 = Yoshinori}} This is a digest of Y. Shiozawa, "[https://www.researchgate.net/publication/236020268 Subtropical Convex Geometry as the Ricardian Theory of International Trade]" draft paper.</ref>
Moreover, several optimization problems arising for instance in job scheduling, location analysis, transportation networks, decision making and discrete event dynamical systems can be formulated and solved in the framework of tropical geometry.<ref>{{cite book last= Krivulin first= Nikolai arxiv=1408.0313 chapter= Tropical optimization problems year=2014 title=Advances in Economics and Optimization: Collected Scientific Studies Dedicated to the Memory of L. V. Kantorovich pages=195–214 publisher=Nova Science Publishers location=New York isbn=9781631170737 editor1=Leon A. Petrosyan editor2=David W. K. Yeung editor3=Joseph V. Romanovsky}}</ref> A tropical counterpart of the [[Abel–Jacobi map]] can be applied to a crystal design.<ref>{{cite book authorlink=Toshikazu Sunadalast=Sunada first=T. year=2012 title=Topological Crystallography: With a View Towards Discrete Geometric Analysis series=Surveys and Tutorials in the Applied Mathematical Sciences volume=6 publisher=Springer Japan isbn=9784431541769}}</ref> The weights in a [[weighted finitestate transducer]] are often required to be a tropical semiring. Tropical geometry
==See also==
