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A.W. STARR et Y.C. HO: Nonzero-Sum Differential Games, JOTA, 3 (1969), 184–206.
— Further Properties of Nonzero-Sum Differential Games, JOTA (1969), 207–219.
T.L. VINCENT & G. LEITMANN: Control Space Properties of cooperative games, JOTA, 4 (1970), 91–113.
A. BLAQUIERE: Sur la géométrie des surfaces de Pareto d'un jeu différentiel à N joueurs, C.R. Acad. Sc. Paris Sér. A, 271 (1970), 744–747.
A. BLAQUIERE, L. JURICEK & K.E. WIESE: Sur la géométrie des surfaces de Pareto d'un jeu différentiel à N joueurs; théorème du maximum, C.R. Acad. Sc. Paris Sér. A, 271 (1970), 1030–1032.
A. HAURIE: Jeux quantitatifs Ă M joueurs, doctoral dissertation, Paris 1970.
M.C. DELFOUR & S.K. MITTER: Reachability of Perturbed Linear Systems and Min Sup Problems, SIAM J. On control, 7 (1969), 521–533
D.P. BERTSEKAS & I.B. RHODES: On the Minimax Reachability of Targets and Target Tubes, Automatica, 7 (1971), 233–247.
J.D. GLOVER & F.C. SCHWEPPE: Control of Linear Dynamic Systems with Set Constrained Disturbances, IEEE Trans. on Control, AC-16 (1971), 411–423.
A. Haurie: On Pareto Optimal Decisions for a Coalition of a Subset of Players, IEEE Trans. on Automatic Control, avril 1973.
H.W. KUHN & A.W. TUCKER: Non-Linear Programming, 2nd Berkeley Symposium of Mathematical Statistics and Probability, Univ. Calif. Press, Berkeley 1951.
J. DANSKIN: On the Theory of Min-Max, J. SIAM Appl. Math., Vol. 14 (1966), pp. 641–664.
V.F. DEM'YANOV & A.M. RUBINOV: Minimization of functionals in normed spaces, SIAM J. Control, Vol. 6 (1968), pp. 73–88.
B. Lemaire: Problèmes min-max et applications au contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles linéaires, Thèse de doctorat, faculté des sciences, Université de Paris, 1970.
J. BRAM: The Lagrange Multiplier Theorem for Max-Min with several Constraints, J. SIAM App. Math. Vol 14 (1966), pp 665–667.
R.J. Aumann: A Survey of Cooperative Games without side Payments, in Essays in Mathematical Economics, ed. M. Shubik, Princeton 1969.
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Goffin, JL., Haurie, A. (1973). Necessary conditions and sufficient conditions for pareto optimality in a multicriterion perturbed system. In: Conti, R., Ruberti, A. (eds) 5th Conference on Optimization Techniques Part I. Optimization Techniques 1973. Lecture Notes in Computer Science, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-06583-0_18
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