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K.S. Mallikarjuna Rao


Industrial Engineering & Operations Research
Indian Institute of Technology Bombay
Mumbai 400 076 India

Office: Room 203, Second Floor, IEOR Building
Tel: +91 22 2576 7869


Networks and Games

Workshop: Combinatorial Games at Mumbai, January 21-25 2024


Academic Background
  • M.Sc (Mathematics) Andhra University, Visakhapattanam.
  • Ph.D, Department of Mathematics, Indian Institute of Science, Bangalore.

Research Interests

Deterministic and Stochastic control, (Differential) Game Theory, Viscosity Solutions, Markov Decision Processes, Probability and Mathematical Finance.


  • Autumn 2016: IE 605 Engineering Statistics 
  • Past teaching: Markov Decision Processes, Linear Systems, Convex Analysis, Compute Programming and Applications, Decision Analysis and Game Theory, Stochastic Models, Operations Analysis, Geometric and Analytic Aspects of Optimal Control,  Game Dynamis, Probability Models

Publications (Books)

  • Vivek S. Borkar and K.S. Mallikarjuna Rao, Elementary Convexity with Optimization, Texts and Reading in Mathematics 83, Hindustan Book Agency, 2023.
  • (Editors: Surajit Borkotokey, Rajnish Kumar, Diganta Muherjee, K.S. Mallikarjuna Rao and Sudipta Sarangi) Game Theory and Networks: New Perspectives and Directions, Springer, 2021. 



Publications (Journal)

  • (with J. Dutta) Combined Lifting and  Penalization Approach to Mathematical Programming with Complementarity Constraints , Submitted.

  • (with A. Chatterjee) Coordinating to Anti-Coordinate on Networks, Submitted.

  • (with A. Chatterjee and Sudipta Sarangi), Evolutionary stability for games played on networks, Accepted in Economic Letters,

  •  Extremality of Prime Factorization, Resonance: Journal of Science Education, 26(2021), 1643 - 1648,

  • (with M. Piraveenan Optimal governance and implementation of vaccination programs to contain the COVID-19 pandemic, R. Soc. Open Sci,  8:210429 (2021).

  • (with S. Borkotokey, L. Gogoi, R. Kumar and S. Sarangi) Middlemen in Cooperative Games, Journal of Scientific Research (BHU), 64(2020), 297 - 304.

  • (with D. Hingu and A.J. Shaiju) On Superiority and Weak Stability of Population States in Evolutionary Games, Annals of Operations Research, 287(2020), 751 - 760.

  • (with V. Ramani) Paths to Stability and Uniqueness in Two-Sided Matching Markets, International Journal of Game Theory, 47(2018),  1137 - 1150.

  • (with A. Ghatak and D. Mukherjee) A Spatial Game Theoretic Analysis of Conflict and Identity, in Computational Economics, 52(2018), 493 - 519.

  • (with D. Hingu and A.J. Shaiju) Evolutionary stability of polymorphic population states in continuous games, in Dynamic Games and Applications, (8)2018, 141 - 156,

  • (with O. Caliskan Demirag and Sanjay Kumar) A note on inventory policies for products with residual-life-dependent demand, Applied Mathematical Modelling, 43(2017), 647 - 658.

  • (with D. Chatterjee, M. Nagahara and D. Quevedo) Characterization of maximum hands-off control, Systems & Control Letters, 94 (2016), 31 - 36.

  • Nonzero-sum games as distributed games, Studies in Microeconomics,  2(2014), 27 - 34.

  • (with A. J. Shaiju) Some remarks on evolutionary stability in matrix games, IGTR, 15(2013), 241-250.

  • (with V. V. Singh and N. Hemachandra) Blackwell optimiality in stochastic games, IGTR, 15(2013), 252 - 263.

  • (with A. Ghatak and A. J. Shaiju) Evolutionary stability against multiple mutations, Dynamic Games and Applications, 4(2012), 376 - 384.

  • (with M. K. Ghosh) Existence of value in stochastic differential games of mixed type, Stochastic Analysis and Applications, 30(2012), 895 - 905.

  • (with M. K. Ghosh, D. Sheetal) Differential Game of Mixed Type with Control and Stopping Times, NoDEA, 16(2009), 143 - 158.

  • (with M. K. Ghosh) Zero-sum stochastic games with stopping and control, Oper. Res. Letters, 35(2007), 799 - 804.

  • (with M. K. Ghosh, A. K. Nandakumaran, K. Suresh Kumar) Differential Games of Fixed Duration in the Framework of Relaxed Strategies, Differential Equations and Dynamical Systems, 13(2005), 251 - 273.

  • (with M. K. Ghosh) Differential Games with Ergodic Payoff, SIAM J. Control and Optimization, 43(2005), 2020-2035.

  • (with A. K. Nandakumaran, M. Rajesh) An example in the homogenization of a degenerate elliptic equation, Asymptotic Analysis, 365(2003), 187 - 201.

  • (with M. K. Ghosh) A probabilistic approach to viscosity solution of Second Order Variational Inequalities with Bilateral Constraints, Proc. Indian Acad. Sci. (Math. Sci.), 113(2003), 431 - 442.

  • (with M. K. Ghosh, A. K. Nandakumaran) A Zero Sum Differential Game in a Hilbert Space, J. Math. Anal. Appl., 283(2003), 167 - 179.

  • (with M. K. Ghosh, A. K. Nandakumaran, K. Suresh Kumar) A note on stochastic minimax principle, Differential Equations and Dynamical Systems, 9(2001), 105 - 112.