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  <title><![CDATA[PhD Proposal by Seth Golembeski]]></title>
  <body><![CDATA[<p><strong>Title:</strong>&nbsp;A Diffusion Homotopy Algorithm for Nash Equilibria</p><p>&nbsp;</p><p><strong>Date:</strong>&nbsp;Wednesday, May 20th, 2026</p><p><strong>Time:</strong>&nbsp;1pm - 2pm ET</p><p><strong>Location:</strong>&nbsp;MRDC 3515 (<a href="https://teams.microsoft.com/meet/225122560859133?p=BordRn7dHFBulSff2T" title="Meeting join">https://teams.microsoft.com/meet/225122560859133?p=BordRn7dHFBulSff2T</a>)</p><p>&nbsp;</p><p><strong>Seth Golembeski</strong></p><p>Robotics Ph.D. Student</p><p>Guggenheim School of Aerospace Engineering</p><p>Georgia Institute of Technology</p><p>&nbsp;</p><p><strong>Committee:</strong></p><p>Dr Anirban Mazumdar (Advisor): School of Mechanical Engineering</p><p>Dr Shreyas Kousik: School of Mechanical Engineering</p><p>Dr Jonathan Rogers: School of Aerospace Engineering</p><p>Dr Kyriakos Vamvoudakis: School of Aerospace Engineering</p><p>Dr Scott Nivison: Air Force Research Lab</p><p>&nbsp;</p><p><strong>Abstract:</strong></p><p>Many robotics problems involve multiple interacting agents, often with conflicting objectives. Robust control addresses problems involving systems that reject external disturbances, such as wind, uneven terrain, or mechanical vibrations. Adversarial settings consider agents that are in opposition, such as combat, markets, or navigating a crowd.</p><p>&nbsp;</p><p>These seemingly disparate problems are connected by Nash equilibria: the combination of all agents’ actions from which no agent can unilaterally deviate to improve its reward. These solutions are not always globally optimal, but each agent can guarantee that it is locally optimal with respect to unilateral deviations by others. Computing Nash equilibria and optimal control solutions are exceptionally difficult. Most existing methods assume monotonicity and continuity to guarantee convergence – conditions rarely met in robotics systems, which are often complex, discontinuous, and operate in high-dimensional spaces.</p><p>&nbsp;</p><p>Model-Based Diffusion alleviates the above problems, but is restricted to single-agent, non-game-theoretic problems, lacks formal convergence analysis, and requires large numbers of samples. To this end, this work proposes 1) MBD efficiency improvements via adaptive importance sampling 2) a decentralized, latency-robust, multi-agent diffusion algorithm for cooperative (potential) games and 3) a fully game-theoretic version of MBD for adversarial games and robust control, with convergence analysis.</p><p>&nbsp;</p>]]></body>
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