Abstract
The phrase ‘solution sets’ of the title does not refer to the standard concepts of solution for N-person games, a survey of which can he found in (6, Chs. VIII, IX). It refers rather, to a new concept arising from a dynamic approach to game theory, introduced by Smale, (7). This latter paper can be viewed as a dynamic view of cooperative N person games without side payments. The author has then developed this approach to non cooperative and partially cooperative games, (2, 3).
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References
(1) Ekeland, I., Topologie Differentielle et Theorie des Jeux, To be published, Topology, 1974.
(2) Grote, J.D., A Global Theory of Games, I, to be published, J. of Math. Econ., 1974.
(3) Grote, J.D., A Global Theory of Games, II, Control Theory Centre Report, University of Warwick, 1973.
(4) Hopf, E., Abzweigung einer Periodischen Losung eines Differential Systems, Ber. der Math. Phys. Akad. der Wiss. zu Leipzig XCIV (1942) pp. 1 – 22.
Levine, H.I., Singularities of Differentiable Mappings, Proc. Liverpool Singularities Symp. 1, pp. 1 – 89, Springer-Verlag 192.
(6) Owen, G. Game Theory, Saunders, 1968.
(7) Smale, S., Global Analysis and Economics, 1., Proc. 1971, Brazil Dynamical Systems Symp.
(8) Thorn, R., Stabilite Structurelle et Morphogenese, Benjamin, 1972.
(9) Milnor, J., Morse Theory, Annals of Maths. Studies 51, Princeton 1963.
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© 1975 D. Reidel Publishing Company, Dordrecht-Holland
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Grote, J.D. (1975). Solution Sets for N-Person Games. In: Grote, J.D. (eds) The Theory and Application of Differential Games. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1804-3_6
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DOI: https://doi.org/10.1007/978-94-010-1804-3_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-1806-7
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