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Goebel, R. (1998). Convexity and Hamiltonian Equations in Differential Games. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-98-071
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Abstract
We study a zero sum differential game under strong assumptions of convexity - the cost is one convex for one player, and concave for the other. An explicit necessary and sufficient condition for a saddle point of the game is given in terms of convex analysis subgradients of the conjugate of the cost function. A generalized Hamiltonian equation is shown to describe saddle trajectories of the game.
| Item Type: | Monograph (IIASA Interim Report) |
|---|---|
| Research Programs: | Dynamic Systems (DYN) |
| Depositing User: | IIASA Import |
| Date Deposited: | 15 Jan 2016 02:10 |
| Last Modified: | 27 Aug 2021 17:16 |
| URI: | https://pure.iiasa.ac.at/5580 |
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