Causal Transport in Discrete Time and Applications

DOI10.1137/16M1080197zbMath1387.90168arXiv1606.04062OpenAlexW2962731848MaRDI QIDQ4602344

Julio Backhoff, A. Zalashko, Mathias Beiglböck, Yi-Qing Lin

Publication date: 10 January 2018

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.04062

zbMATH Keywords

causalityoptimal transporttransport inequalitiesnested distanceKnothe-Rosenblatt rearrangementgeneral transport costs

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Stochastic programming (90C15) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (18)

A dynamic programming approach to distribution-constrained optimal stopping ⋮ Weak monotone rearrangement on the line ⋮ Dynamic Cournot-Nash equilibrium: the non-potential case ⋮ Computational methods for adapted optimal transport ⋮ Continuity of the martingale optimal transport problem on the real line ⋮ Fundamental properties of process distances ⋮ A note on the adapted weak topology in discrete time ⋮ All adapted topologies are equal ⋮ Martingale Benamou-Brenier: a probabilistic perspective ⋮ Optimal transport and barycenters for dendritic measures ⋮ Causal optimal transport and its links to enlargement of filtrations and continuous-time stochastic optimization ⋮ Applications of weak transport theory ⋮ Cournot--Nash Equilibrium and Optimal Transport in a Dynamic Setting ⋮ Extended Mean Field Control Problems: Stochastic Maximum Principle and Transport Perspective ⋮ Adapted Wasserstein distances and stability in mathematical finance ⋮ Existence, duality, and cyclical monotonicity for weak transport costs ⋮ Estimating processes in adapted Wasserstein distance ⋮ Stability of martingale optimal transport and weak optimal transport

Cites Work

• On the Monge-Kantorovich problem with additional linear constraints
• Model-independent bounds for option prices -- a mass transport approach
• Martingale optimal transport and robust hedging in continuous time
• Contributions to the theory of convex bodies
• Dynamic generation of scenario trees
• Stochastic optimal control. The discrete time case
• A convexity principle for interacting gases
• Monge-Kantorovitch measure transportation and Monge-Ampère equation on Wiener space
• Transportation cost-information inequalities and applications to random dynamical systems and diffusions.
• Transportation cost for Gaussian and other product measures
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• Kantorovich duality for general transport costs and applications
• A stochastic control approach to no-arbitrage bounds given marginals, with an application to lookback options
• The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities
• On the uniqueness of solutions of stochastic differential equations
• Multistage Stochastic Optimization
• A Distance For Multistage Stochastic Optimization Models
• Duality for Borel measurable cost functions
• From Knothe's Transport to Brenier's Map and a Continuation Method for Optimal Transport
• A Characterization of the Knothe--Rosenblatt Processes by a Convergence Result
• The Wasserstein distance and approximation theorems
• Version-Independence and Nested Distributions in Multistage Stochastic Optimization
• Variational Analysis
• A land of monotone plenty
• ROBUST BOUNDS FOR FORWARD START OPTIONS
• Transport Inequalities. A Survey
• Triangular transformations of measures
• Optimal Transport
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