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作者：Avvakumov, Sergey; Karasev, Roman
作者单位：University of Copenhagen; Kharkevich Institute for Information Transmission Problems of the RAS; Russian Academy of Sciences; Moscow Institute of Physics & Technology
摘要：We prove that, for any positive integer m, a segment may be partitioned into m possibly degenerate or empty segments with equal values of a continuous function f evaluated on segments, assuming that f may take positive and negative values, but its value on degenerate or empty segments is zero.
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作者：Baiter, Anne G.; Schweizer, Nikolaus; Veraa, Juan C.
作者单位：Tilburg University
摘要：This paper studies the existence and uniqueness of equilibrium prices in a model of the banking sector in which banks trade contingent convertible bonds with stock price triggers among each other. This type of financial product was proposed as an instrument for stabilizing the global banking system after the financial crisis. Yet it was recognized early on that these products may create circularity problems in the definition of stock prices-even in the absence of trade. We find that, if conver...
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作者：Gravin, Nick; Wang, Hongao
作者单位：Shanghai University of Finance & Economics; Purdue University System; Purdue University
摘要：We consider the Bayesian online selection problem of a matching in bipartite graphs, that is, the weighted online matching problem where the edges arrive online and edge weights are generated from a known distribution. This setting corresponds to the intersection of two matroids in the work of Kleinberg and Weinberg [40] and Feldman et al. [27]. We study a simple class of nonadaptive policies that we call vertex-additive policies. A vertex-additive policy assigns static prices to every vertex ...
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作者：Gutekunst, Samuel C.; Williamson, David P.
作者单位：Bucknell University; Bucknell University; Cornell University
摘要：Facet-defining inequalities of the symmetric traveling salesman problem (TSP) polytope play a prominent role in both polyhedral TSP research and state-of-the-art TSP solvers. In this paper, we introduce a new class of facet-defining inequalities, the circlet inequalities. These inequalities were first conjectured in Gutekunst and Williamson [Gutekunst SC, Williamson DP (2019) Characterizing the integrality gap of the subtour LP for the circulant traveling salesman problem. SIAM J. Discrete Mat...
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作者：Guan, Chonghu; Xu, Zuo Quan; Zhou, Rui
作者单位：Hong Kong Polytechnic University
摘要：This paper studies a dynamic optimal reinsurance and dividend-payout problem for an insurance company in a finite time horizon. The goal of the company is to maximize the expected cumulative discounted dividend payouts until bankruptcy or maturity, whichever comes earlier. The company is allowed to buy reinsurance contracts dynamically over the whole time horizon to cede its risk exposure with other reinsurance companies. This is a mixed singular-classical stochastic control problem, and the c...
