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A Multi-Marginal C-Convex Duality Theorem for Martingale Optimal Transport

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Code for "A Multi-Marginal C-Convex Duality Theorem for Martingale Optimal Transport"

Julian Sester

Abstract

A convex duality result for martingale optimal transport problems with two marginals was established in Beiglböck et al (2013). In this paper we provide a generalization of this result to the multi-period setting.

Content:

An Example to compute solutions of the MOT problem using convex envelopes.

Preprint:

Can be found here

License:

MIT License

Copyright (c) 2023 Julian Sester

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

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A Multi-Marginal C-Convex Duality Theorem for Martingale Optimal Transport

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