Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content
Springer Nature Link
Log in

Preface: International conference on game theory and optimization, June 6–10, 2016, Indian Institute of Technology Madras, Chennai, India

  • SI: Game Theory and Optimization
  • Published:
Annals of Operations Research Aims and scope Submit manuscript

Abstract

A conference-cum-workshop on Game Theory and Optimization was held at the Indian Institute of Technology Madras, during June 6–10, 2016. One of the primary objectives of the event was to commemorate the 75th birthday of Professor T. Parthasarathy, fondly referred to as TP. A special session was devoted to his life and mathematical career. This provided a platform for many of TP’s students and collaborators to share their experiences with the audience. The conference was made possible through funding from the National Mathematics Initiative. Additional funding was received from the Office of Alumni and International Relations, the Departments of Mathematics, and Management Studies, Indian Institute of Technology Madras (IIT Madras). Following is a brief overview of the contributions to this special issue, a biography of Professor TP, and a list of his publications. The Guest Editors would like to thank all the authors, Annals of Operations Research Editor-in-Chief, Endre Boros, and all referees who provided peer review. This special issue would not have been possible without their valuable time and input.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

List of Publications of Professor T. Parthasarathy

  • Babu, S., Krishnamurthy, N., & Parthasarathy, T. (2017). Stationary, completely mixed and symmetric optimal and equilibrium strategies in stochastic games. International Journal of Game Theory,46(3), 761–782.

    Article  Google Scholar 

  • Balaji, R., & Parthasarathy, T. (2007). The Q-property of a multiplicative transformation in semidefinite linear complementarity problems. The Electronic Journal of Linear Algebra,16, 419–428.

    Google Scholar 

  • Balaji, R., Parthasarathy, T., Raman, D. S., & Vetrivel, V. (2005). On the Lipschitz continuity of the solution map in semidefinite linear complementarity problems. Mathematics of Operations Research,30(2), 462–471.

    Article  Google Scholar 

  • Bhimashankaram, P., Parthasarathy, T., Murthy, A. L. N., & Murthy, G. S. R. (2012). Complementarity problems and positive definite matrices. Algorithmic Operations Research,7(2), 94–102.

    Google Scholar 

  • Biswas, A. K., Parthasarathy, T., Potters, J. A. M., & Voorneveld, M. (1999). Large cores and exactness. Games and Economic Behavior,28(1), 1–12.

    Article  Google Scholar 

  • Biswas, A. K., Parthasarathy, T., & Ravindran, G. (2001). Stability and largeness of the core. Games and Economic Behavior,34(2), 227–237.

    Article  Google Scholar 

  • Biswas, A. K., Ravindran, G., & Parthasarathy, T. (2000). Stability and largeness of core for symmetric games. International Journal of Game Theory,29(1), 11–22.

    Article  Google Scholar 

  • Chandrashekaran, A., Parthasarathy, T., & Ravindran, G. (2010a). On strong Z-matrices. Linear Algebra and its Applications,432(4), 964–969.

    Article  Google Scholar 

  • Chandrashekaran, A., Parthasarathy, T., & Vetrivel, V. (2010b). On the Pl and P2-properties in the semidefinite linear complementarity problem. Linear Algebra and its Applications,432(1), 134–143.

    Article  Google Scholar 

  • Chandrashekaran, A., Parthasarathy, T., & Vetrivel, V. (2013). Solving strongly monotone linear complementarity problems. International Game Theory Review,15(04), 1340035.

    Article  Google Scholar 

  • Chin, H., Parthasarathy, T., & Raghavan, T. E. S. (1976). Optimal strategy sets for continuous two person games. Sankhyā Ser. A,38(1), 92–98.

    Google Scholar 

  • Chin, H. H., Parthasarathy, T., & Raghavan, T. E. S. (1974). Structure of equilibria in N-person non-cooperative games. International Journal of Game Theory,3, 1–19.

    Article  Google Scholar 

  • Flesch, J., Parthasarathy, T., Thuijsman, F., & Uyttendaele, P. (2013). Evolutionary stochastic games. Dynamic Games and Applications,3(2), 207–219.

    Article  Google Scholar 

  • Gowda, M. S., Krishnamurthy, N., Parthasarathy, T., Ramanujam, R., & Ravindran, G. (2013). Preface to the special issue on gtora. International Game Theory Review,15(04), 1360001.

    Article  Google Scholar 

  • Gowda, M. S., Murthy, G. S. R., & Parthasarathy, T. (2001). On the connectedness of solution sets of parametrized equations and of solution sets in linear complementarity problems. In Complementarity: Applications, algorithms and extensions (Madison, WI, 1999) (Vol. 50, pp. 165–177). Dordrecht: Kluwer Academic Publishers.

    Google Scholar 

  • Gowda, M. S., & Parthasarathy, T. (2000). Complementarity forms of theorems of Lyapunov and Stein, and related results. Linear Algebra and its Applications,320(1–3), 131–144.

    Article  Google Scholar 

  • Himmelberg, C. J., Parthasarathy, T., Raghavan, T. E. S., & Van Vleck, F. S. (1977). Existence of p-equilibrium and optimal stationary strategies in stochastic games. Proceedings of the American Mathematical Society,60(245–251), 1976.

    Google Scholar 

  • Himmelberg, C. J., Parthasarathy, T., & Van Vleck, F. S. (1976). Optimal plans for dynamic programming problems. Mathematical Operations Research,1(4), 390–394.

    Article  Google Scholar 

  • Himmelberg, C. J., Parthasarathy, T., & Van Vleck, F. S. (1981). On measurable relations. Fundamenta Mathematicae,111(2), 161–167.

    Article  Google Scholar 

  • Jurg, A. P., Jansen, M. J. M., Parthasarathy, T., & Tijs, S. H. (1990). On weakly completely mixed bimatrix games. Linear Algebra and its Applications,141, 61–74.

    Article  Google Scholar 

  • Krishnamurthy, N., Parthasarathy, T., & Ravindran, G. (2010). Orderfield property of mixtures of stochastic games. Sankhya A,72(1), 246–275.

    Article  Google Scholar 

  • Krishnamurthy, N., Parthasarathy, T., & Ravindran, G. (2012). Solving sub- classes of multi-player stochastic games via linear complementarity problem formulations—a survey and some new results. Optimization and Engineering,13(3), 435–457.

    Article  Google Scholar 

  • Maitra, A., & Parthasarathy, T. (1970). On stochastic games. Journal of Optimization Theory and Applications,5, 289–300.

    Article  Google Scholar 

  • Maitra, A., & Parthasarathy, T. (1971). On stochastic games. II. Journal of Optimization Theory and Applications,8, 154–160.

    Article  Google Scholar 

  • Mertens, J. F., & Parthasarathy, T. (2003). Equilibria for discounted stochastic games. Stochastic games and applications (Stony Brook, NY, 1999) (Vol. 570)., NATO Sci. Ser. C Math. Phys. Sci. Dordrecht: Kluwer Academic Publishers.

    Google Scholar 

  • Mohan, S. R., Neogy, S. K., & Parthasarathy, T. (1997a). Linear complemen- tarity and discounted polystochastic game when one player controls transitions. Complementarity and variational problems (Baltimore, MD, 1995) (pp. 284–294). Philadelphia: SIAM.

    Google Scholar 

  • Mohan, S. R., Neogy, S. K., & Parthasarathy, T. (1997b). Linear complemen- tarity and the irreducible polystochastic game with the average cost criterion when one player controls transitions. Game theoretical applications to economics and operations research (Bangalore, 1996) (Vol. 18, pp. 153–170)., Theory Decis. Lib. Ser. C Game Theory Math. Program. Oper. Res. Boston: Kluwer Academic Publishers.

    Chapter  Google Scholar 

  • Mohan, S. R., Neogy, S. K., & Parthasarathy, T. (1999a). On linear comple- mentarity and a discounted polystochastic game. Stochastic and differential games (Vol. 4, pp. 377–380)., Ann. Internat. Soc. Dynam. Games Boston: Birkhauser.

    Chapter  Google Scholar 

  • Mohan, S. R., Neogy, S. K., & Parthasarathy, T. (2001). Pivoting algorithms for some classes of stochastic games: A survey. International Game Theory Review,3, 253. Special issue on operations research and game theory with economic and industrial applications (Chennai, 2000).

    Article  Google Scholar 

  • Mohan, S. R., Neogy, S. K., Parthasarathy, T., & Sinha, S. (1999b). Vertical linear complementarity and discounted zero-sum stochastic games with ARAT structure. Mathematical Programming,86(3), 637–648.

    Article  Google Scholar 

  • Mohan, S. R., Parthasarathy, T., & Sridhar, R. (1992). N matrices and the class Q. Game theory and economic applications (New Delhi, 1990) (Vol. 389, pp. 24–36)., Lecture Notes in Econom. and Math. Systems Berlin: Springer.

    Google Scholar 

  • Mohan, S. R., Parthasarathy, T., & Sridhar, R. (1994). The linear complementarity problem with exact order matrices. Mathematical Operations Research,19(3), 618–644.

    Article  Google Scholar 

  • Murthy, G. S. R., & Parthasarathy, T. (1995). Some properties of fully semimonotone, Q0-matrices. SIAM Journal on Matrix Analysis and Applications,16(4), 1268–1286.

    Article  Google Scholar 

  • Murthy, G. S. R., & Parthasarathy, T. (1998). Fully copositive matrices. Mathematical Programming,82(3), 401–411.

    Article  Google Scholar 

  • Murthy, G. S. R., Parthasarathy, T., & Ravindran, G. (1993). A copositive Q-matrix which is not R0. Mathematical Programming,61(1), 131–135.

    Article  Google Scholar 

  • Murthy, G. S. R., Parthasarathy, T., & Ravindran, G. (1995). On co-positive, semi-monotone Q-matrices. Mathematical Programming,68(2), 187–203.

    Google Scholar 

  • Murthy, G. S. R., Parthasarathy, T., & Sabatini, M. (1994). A note on negative Lipschitzian matrix. Opsearch,31(3), 237–239.

    Google Scholar 

  • Murthy, G. S. R., Parthasarathy, T., & Sabatini, M. (1996). Lipschitzian Q-matrices are P-matrices. Mathematical Programming,74(1), 55–58.

    Article  Google Scholar 

  • Murthy, G. S. R., Parthasarathy, T., & Sridhar, R. (2013). On fully semimonotone matrices. International Game Theory Review,15(4), 1340036.

    Article  Google Scholar 

  • Murthy, G. S. R., Parthasarathy, T., & Sriparna, B. (1997). Constructive characterization of Lipschitzian Q0-matrices. Linear Algebra and its Applications,252, 323–337.

    Article  Google Scholar 

  • Murthy, G. S. R., Parthasarathy, T., & Sriparna, B. (1998). Some recent results on the linear complementarity problem. SIAM Journal on Matrix Analysis and Applications,19(4), 898–905.

    Article  Google Scholar 

  • Murthy, G. S. R., Parthasarathy, T., & Sriparna, B. (2000a). The linear complementarity problem in static and dynamic games. Advances in dynamic games and applications (Kanagawa, 1996) (Vol. 5, pp. 289–301)., Ann. Internat. Soc. Dynam. Games Boston: Birkhauser.

    Chapter  Google Scholar 

  • Murthy, G. S. R., Parthasarathy, T., & Sriparna, B. (2000b). On the solution sets of linear complementarity problems. SIAM Journal on Matrix Analysis and Applications,21(4), 1229–1235.

    Article  Google Scholar 

  • Neogy, S. K., Parthasarathy, T., & Das, A. K. (2015a). Preface to the special is- sue on applied optimization and game-theoretic models—II. International Game Theory Review,17(2), 1502002.

    Article  Google Scholar 

  • Neogy, S. K., Parthasarathy, T., & Das, A. K. (2015b). Preface to the special issue on applied optimization and game-theoretic models-I. International Game Theory Review,17(1), 1502001.

    Article  Google Scholar 

  • Olech, C., Parthasarathy, T., & Ravindran, G. (1990). A class of globally univalent differentiable mappings. Archivum Mathematicum,26(2–3), 165–172.

    Google Scholar 

  • Olech, C., Parthasarathy, T., & Ravindran, G. (1991). Almost N-matrices and linear complementarity. Linear Algebra and its Applications,145, 107–125.

    Article  Google Scholar 

  • Parthasarathy, T. (1965). A note on a minimax theorem of T. T. Tie. Sankhya Ser. A,27, 407–408.

    Google Scholar 

  • Parthasarathy, T. (1966). A note on compound simple games. Proceedings of the American Mathematical Society,17, 1334–1340.

    Article  Google Scholar 

  • Parthasarathy, T. (1968). On general minimax theorem. Mathematics Student,34(195–197), 1966.

    Google Scholar 

  • Parthasarathy, T. (1967). Minimax theorems in separable-compact metric spaces. Journal of the Indian Statistical Association,5, 182–191.

    Google Scholar 

  • Parthasarathy, T. (1969). Product solutions for simple games. II. Proceedings of the American Mathematical Society,20, 107–114.

    Article  Google Scholar 

  • Parthasarathy, T. (1970). On games over the unit square. SIAM Journal on Applied Mathematics,19, 473–476.

    Article  Google Scholar 

  • Parthasarathy, T. (1971). Discounted and positive stochastic games. Bulletin of the American Mathematical Society,77, 134–136.

    Article  Google Scholar 

  • Parthasarathy, T. (1972). Selection theorems and their applications (Vol. 263)., Lecture Notes in Mathematics Berlin: Springer.

    Book  Google Scholar 

  • Parthasarathy, T. (1973). Discounted, positive, and noncooperative stochastic games. International Journal of Game Theory,2(1), 25–37.

    Article  Google Scholar 

  • Parthasarathy, T. (1982). Existence of equilibrium stationary strategies in discounted stochastic games. Sankhya Ser. A,44(1), 114–127.

    Google Scholar 

  • Parthasarathy, T. (1983). On global univalence theorems (Vol. 977)., Lecture Notes in Mathematics Berlin: Springer.

    Book  Google Scholar 

  • Parthasarathy, T. (1984). Markov games. II. Contributions to operations re- search and mathematical economics, Vol. I (Vol. 51, pp. 369–376)., Methods Oper. Res. Konigstein: Athenaum/Hain/Hanstein.

    Google Scholar 

  • Parthasarathy, T. (1985). On the global stability of an autonomous system on the plane. Journal of Mathematical Physics,19(3), 189–197.

    Google Scholar 

  • Parthasarathy, T. (1996). Application of P matrices to economics. Applied abstract algebra (Delhi, 1995) (pp. 78–95). Delhi: University of Delhi.

    Google Scholar 

  • Parthasarathy, T. (2005a). Five decades of stochastic games. Mathematical Student,72(1-4), 5–10.

    Google Scholar 

  • Parthasarathy, T. (2005b). Injectivity of mappings in Rn. Mathematical Student,72(1-4), 1–4.

    Google Scholar 

  • Parthasarathy, T., & Raghavan, T. E. S. (1971). Some topics in two-person games. Modern analytic and computational methods in science and mathematics, No. 22. New York: American Elsevier Publishing Co., Inc.

    Google Scholar 

  • Parthasarathy, T., & Raghavan, T. E. S. (1975a). Equilibria of continuous two- person games. Pacific Journal of Mathematics,57(1), 265–270.

    Article  Google Scholar 

  • Parthasarathy, T., & Raghavan, T. E. S. (1975b). Existence of saddle points and Nash equilibrium points for differential games. SIAM Journal on Control and Optimization,13(5), 977–980.

    Article  Google Scholar 

  • Parthasarathy, T., & Raghavan, T. E. S. (1981). An orderfield property for stochastic games when one player controls transition probabilities. Journal of Optimization Theory and Applications,33(3), 375–392.

    Article  Google Scholar 

  • Parthasarathy, T., Raman, D. S., & Sriparna, B. (2002). Relationship between strong monotonicity property, P2-property, and the gus-property in semidefinite linear complementarity problems. Mathematics of Operations Research,27(2), 326–331.

    Article  Google Scholar 

  • Parthasarathy, T., & Ravindran, G. (1986). The Jacobian matrix, global univalence and completely mixed games. Mathematical Operations Research,11(4), 663–671.

    Article  Google Scholar 

  • Parthasarathy, T., & Ravindran, G. (1988). Completely mixed games and global univalence in convex regions. Optimization design of experiments and graph theory (Bombay, 1986) (pp. 417–423). Bombay: Indian Institutes of Technology.

    Google Scholar 

  • Parthasarathy, T., & Ravindran, G. (1990). N -matrices. Linear Algebra and its Applications,139, 89–102.

    Article  Google Scholar 

  • Parthasarathy, T., Ravindran, G., & Sabatini, M. (1997). Completely mixed games and real Jacobian conjecture. In Game theoretical applications to economics and operations research (Bangalore, 1996) (Vol. 18, pp. 17–23), Theory Decis. Lib. Ser. C Game Theory Math. Program. Oper. Res. Boston: Kluwer Academic Publishers.

  • Parthasarathy, T., & Sabatini, M. (1994). Some new results on the global asymptotic stability Jacobian conjecture. Bulletin of the Polish Academy of Sciences,41(3), 221–228.

    Google Scholar 

  • Parthasarathy, T., & Sinha, S. (1989). Existence of stationary equilibrium strategies in non-zero-sum discounted stochastic games with uncount-able state space and state-independent transitions. International Journal of Game Theory,18(2), 189–194.

    Article  Google Scholar 

  • Parthasarathy, T., Sridhar, R., & Sriparna, B. (1997b). On Lipschitzian Q0 and INS matrices. Linear Algebra and its Applications,263, 193–199.

    Article  Google Scholar 

  • Parthasarathy, T., & Stern, M. (1997). Markov games—a survey. In Differen- tial games and control theory, II (Proc. 2nd Conf., Univ. Rhode Island, Kingston, R.I., 1976) (vol. 30, pp. 1–46). Lecture Notes in Pure and Appl. Math.

  • Parthasarathy, T., & Stern, M. (1980). Markov games—a survey. Yingyong Shuxue yu Jisuan Shuxue, (4):56–68. (Translated from the English by Guang Ya Chen).

  • Parthasarathy, T., Tijs, S. H., & Vrieze, O. J. (1984). Stochastic games with state independent transitions and separable rewards. In Selected topics in operations research and mathematical economics (Karlsruhe, 1983) (Vol. 226, pp. 264–271) Lecture Notes in Econom. and Math. Systems. Berlin: Springer.

  • Parthasarthy, T. (1969). Product solutions for simple games. III. Proceedings of the American Mathematical Society,23, 412–420.

    Article  Google Scholar 

  • Ramamurthy, K. G., & Parthasarathy, T. (1983). A note on factorization of simple games. Opsearch,20(3), 170–174.

    Google Scholar 

  • Ramamurthy, K. G., & Parthasarathy, T. (1984a). Contraction of simple games and its applications. Opsearch,21(3), 167–171.

    Google Scholar 

  • Ramamurthy, K. G., & Parthasarathy, T. (1984b). Probabilistic implications of the assumption of homogeneity in voting games. Opsearch,21(2), 81–91.

    Google Scholar 

  • Ramamurthy, K. G., & Parthasarathy, T. (1985). A generalization of the three modules theorem. Opsearch,22(4), 248–254.

    Google Scholar 

  • Ramamurthy, K. G., & Parthasarathy, T. (1986a). An algorithm to find the smallest committee containing a given set. Opsearch,23(1), 1–6.

    Google Scholar 

  • Ramamurthy, K. G., & Parthasarathy, T. (1986b). Matroidal games. International Journal of Game Theory,15(1), 21–29.

    Article  Google Scholar 

  • van den Essen, A., & Parthasarathy, T. (1992). Polynomial maps and a conjecture of Samuelson. Linear Algebra and its Applications,177, 191–195.

    Article  Google Scholar 

  • Vrieze, O. J., Tijs, S. H., Parthasarathy, T., & Dirven, C. A. J. M. (1990). A class of stochastic games with ordered field property. Journal of Optimization Theory and Applications,65(3), 519–529.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Madras, Chennai, India

    K. C. Sivakumar

  2. Department of Mathematics and Statistics, University of Maryland, Maryland, USA

    M. S. Gowda

  3. Indian Statistical Institute, Chennai, India

    G. Ravindran

  4. Department of Management Studies, Indian Institute of Technology Madras, Chennai, India

    Usha Mohan

Authors
  1. K. C. Sivakumar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. S. Gowda
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. Ravindran
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Usha Mohan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to K. C. Sivakumar.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sivakumar, K.C., Gowda, M.S., Ravindran, G. et al. Preface: International conference on game theory and optimization, June 6–10, 2016, Indian Institute of Technology Madras, Chennai, India. Ann Oper Res 287, 565–572 (2020). https://doi.org/10.1007/s10479-019-03492-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10479-019-03492-9

Search

Navigation