Geometric Criterion for a Robust Condition of No Sure Arbitrage with Unlimited Profit

Author:

Smirnov S. N.

Publisher

Allerton Press

Subject

Computational Mathematics,Control and Optimization,Human-Computer Interaction

Reference7 articles.

1. S. N. Smirnov, ‘‘A guaranteed deterministic approach to superhedging: financial market model, trading constraints and Bellman-Isaacs equations,’’ Mat. Teor. Igr Prilozh. 10 (4), 59–99 (2018).

2. S. N. Smirnov, ‘‘A guaranteed deterministic approach to superhedging: ‘‘no arbitrage’’ market properties,’’ Mat. Teor. Igr Prilozh. 11 (2), 68–95 (2019).

3. S. N. Smirnov, ‘‘A guaranteed deterministic approach to superhedging: the proprieties of semicontinuity and continuity of solutions of the Bellman-Isaacs equations,’’ Mat. Teor. Igr Prilozh. 11 (4), 87–115 (2019).

4. B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry: Methods and Applications, 2nd ed. (Nauka, Moscow, 1986) [in Russian].

5. R. T. Rockafellar, Convex Analysis (Princeton Univ. Press, Princeton, 1970; Mir, Moscow, 1973).

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