Advances in Dynamic Games and Applications

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Springer Science & Business Media, Mar 30, 2000 - Mathematics - 459 pages
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Modem game theory has evolved enonnously since its inception in the 1920s in the works ofBorel and von Neumann and since publication in the 1940s of the seminal treatise "Theory of Games and Economic Behavior" by von Neumann and Morgenstern. The branch of game theory known as dynamic games is-to a significant extent-descended from the pioneering work on differential games done by Isaacs in the 1950s and 1960s. Since those early decades game theory has branched out in many directions, spanning such diverse disciplines as math­ ematics, economics, electrical and electronics engineering, operations research, computer science, theoretical ecology, environmental science, and even political science. The papers in this volume reflect both the maturity and the vitalityofmodem day game theoryin general, andofdynamic games, inparticular. The maturitycan be seen from the sophistication ofthe theorems, proofs, methods, and numerical algorithms contained in these articles. The vitality is manifested by the range of new ideas, new applications, the numberofyoung researchers among the authors, and the expanding worldwide coverage of research centers and institutes where the contributions originated.
 

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Contents

III
3
IV
31
V
47
VI
81
VII
97
VIII
115
IX
137
X
151
XV
257
XVI
269
XVII
279
XVIII
289
XIX
303
XX
325
XXI
341
XXII
361

XI
177
XII
195
XIII
213
XIV
223
XXIII
387
XXIV
405
XXV
427
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About the author (2000)

Jerzy A. Filar is Director of Flinders Mathematical Sciences Laboratory at Flinders University, Australia. He is a co-author of Competitive Markov Decision Processes (1996) and has authored or co-authored approximately 100 refereed research papers. He is a Fellow of the Australian Mathematical Society. His research interests span both theoretical and applied topics in operations research, optimisation, game theory, applied probability, and environmental modelling.

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