Mathematical Programming and Game Theory

Chapter 1. A Unified Framework for a Class of Mathematical Programming Problems (Dipti Dubey).- Chapter 2. Maximizing spectral radius and number of spanning trees in bipartite graphs (Ravindra B. Bapat).- Chapter 3. Optimization problems on acyclic orientations of graphs, shellability of simplicial complexes, and acyclic partitions (Masahiro Hachimori).- Chapter 4. On ideal minimally non-packing clutters (Kenji Kashiwabara).- Chapter 5. Symmetric Travelling Salesman Problem (Tiru Arthanari).- Chapter 6. About the links between equilibrium problems and variational inequalities (D. Aussel).- Chapter 7. The shrinking projection method and resolvents on Hadamard spaces (Yasunori Kimura).- Chapter 8. Some Hard Stable Marriage Problems: A Survey on Multivariate Analysis (Sushmita Gupta).- Chapter 9. Approximate Quasi-Linearity for Large Incomes (Mamoru Kaneko).- Chapter 10. Cooperative Games in Networks under Uncertainty on the Costs (L. Mallozzi).- Chapter 11. Pricing competition between cell phone carriers in a growing market of customers (Andrey Garnaev).- Chapter 12. Stochastic games with endogenous transitions (Reinoud Joosten).

S.K. NEOGY is Professor at the Indian Statistical Institute, New Delhi. A Ph.D. from the same institute, his primary area of research is mathematical programming and game theory. He is co-editor of books: Modeling, Computation and Optimization, Mathematical Programming and Game Theory for Decision Making (both from World Scientific). He is has also been a co-editor of the special issue of several journals: Annals of Operations Research, entitled Optimization Models with Economic and Game Theoretic Applications (2016), International Game Theory Review, entitled Operations Research and Game Theory (2001), and Applied Optimization and Game-Theoretic Models, Parts I and II (2015). He has published widely in several international journals of repute like Mathematical Programming, Linear Algebra and its Applications, OR Spektrum, SIAM Journal on Matrix Analysis and Applications, SIAM Journal on Optimization, International Journal of Game Theory, Dynamic Games and Applications, Annals of Operations Research, and Mathematical Analysis and Applications. He is a reviewer of zbMATH and Mathematical Reviews.
RAVINDRA B. BAPAT, Ph.D. from the University of Illinois at Chicago, is Professor at the Stat-Math Unit, Indian Statistical Institute, New Delhi. He had his schooling and undergraduate education in Mumbai. He obtained his B.Sc. degree from the University of Mumbai, and M.Stat. from the Indian Statistical Institute, New Delhi. After spending one year in Northern Illinois University in DeKalb, Illinois, and two years at the Department of Statistics, University of Mumbai, Professor Bapat joined the Indian Statistical Institute, New Delhi, in 1983. He held visiting positions at various universities in the U.S.A. and visited several institutes abroad in countries including France, Holland, Canada, China and Taiwan for collaborative research and seminars. The main areas of research interest of ProfessorBapat are nonnegative matrices, matrix inequalities, matrices in graph theory