Kshitij Kulkarni

I am a fourth-year Ph.D. student in the Department of EECS at UC Berkeley advised by Prof. S. Shankar Sastry. I am interested in game theory, control, and learning. I enjoy using ideas from dynamical systems and geometry to understand what happens when many intelligent agents are learning and making decisions over time.

Contact: ksk at eecs dot berkeley dot edu


Ph.D. EECS, University of California, Berkeley (in progress)

M.A. Mathematics, University of California, Berkeley (in progress)

M.S. EECS, University of California, Berkeley (2022)

Thesis: Social Optimality via Dynamic Tolling and Adaptive Incentive Design [pdf]

B.S. Electrical Engineering, Georgia Institute of Technology (2019)

Publications and Manuscripts


"Towards Dynamic Causal Discovery with Rare Events: A Nonparametric Conditional Independence Test", Chih-Yuan Chiu, Kshitij Kulkarni, and Shankar Sastry, Preprint, 2022, [pdf].

"Towards a Theory of Maximal Extractable Value I: Constant Function Market Makers", Kshitij Kulkarni, Theo Diamandis, Tarun Chitra, Preprint, 2022, [pdf].

"DeFi Liquidity Management via Optimal Control: Ohm as a Case Study", Tarun Chitra, Kshitij Kulkarni, Guillermo Angeris, Alex Evans, Victor Xu, Preprint, 2022, [pdf].

Conference Publications

"Inducing Social Optimality in Games via Adaptive Incentive Design", Chinmay Maheshwari, Kshitij Kulkarni, Manxi Wu, and Shankar Sastry, Conference on Decision and Control (CDC), 2022, [pdf].

"Dynamic Tolling for Inducing Socially Optimal Traffic Loads", Chinmay Maheshwari*, Kshitij Kulkarni*, Manxi Wu, and Shankar Sastry, American Control Conference(ACC), 2022, [pdf].

Workshop Publications

"Improving Proof of Stake Economic Security via MEV Redistribution", Tarun Chitra and Kshitij Kulkarni, 2022 ACM CCS Workshop on Decentralized Finance and Security, 2022, [pdf].

"Social Choice with Changing Preferences: Representation Theorems and Long-Run Policies", Kshitij Kulkarni and Sven Neth, Workshop on Consequential Decision-Making in Dynamic Environments, NeurIPS, 2020, [pdf].

Course Notes

ECON 201A Consumer Theory

ECON 201A General Equilibrium

MATH 240 Riemannian Geometry

Work Experience

D.E. Shaw & Co., Proprietary Trading Intern, Summer 2019

Citadel, LLC., Trading Intern, Summer 2018


Some theorems/results I particularly enjoy thinking about:

1. Ricci curvature comparison

2. The existence and uniqueness theorem for solutions of ODEs

3. Existence of pure strategy Nash equilibria in potential games

4. Lyapunov's theorems

5. Fixed point theorems, although there are too many to list here

Fascinating mathematical objects:

1. The middle-thirds Cantor set

More to come...

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