Differential games with mixed leadership: The open-loop solution

Applied Mathematics and Computation

Volumn 217, Issue 3, 2010, Pages 972-979

  Baar, Tamer ^a   Bensoussan, Alain ^b   Sethi, Suresh P ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b UNIVERSITY OF TEXAS AT DALLAS   (United States)

Author keywords

Differential games; Mixed leadership; Stackelberg Nash solution; Two point boundary value optimization

Indexed keywords

CONTROL VARIABLE; COUPLED DIFFERENTIAL EQUATIONS; DIFFERENTIAL GAMES; MIXED LEADERSHIP; NONZERO-SUM DIFFERENTIAL GAME; OPEN LOOPS; RICCATI DIFFERENTIAL EQUATION; STACKELBERG; STACKELBERG SOLUTION; STATE TRAJECTORY; TWO-POINT;

BOUNDARY CONDITIONS; DECISION MAKING; EQUATIONS OF STATE; OPTIMIZATION; RICCATI EQUATIONS;

GAME THEORY;

EID: 77957274382     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.01.048     Document Type: Article

References (11)

1. T. Baar On the relative leadership property of Stackelberg strategies Journal of Optimization Theory and Applications 11 6 1973 655 661
2. T. Baar, and A. Haurie Feedback equilibria in differential games with structural and modal uncertainties J.B. Cruz Jr. Advances in Large Scale Systems 1984 JAE Press Inc. Connecticut 163
3. T. Baar, A. Haurie, and G. Ricci On the dominance of capitalists' leadership in a feedback Stackelberg solution of a differential game model of capitalism Journal of Economic Dynamics and Control 9 1985 101 125
4. T. Baar, and G.J. Olsder Dynamic Noncooperative Game Theory, SIAM Series in Classics in Applied Mathematics 1999 SIAM Philadelphia PA, USA
5. G.F. Cachon Supply chain coordination with contracts A.G. de Kok, S.C. Graves, Handbooks in OR and MS SCM: Design, Coordination and Cooperation vol. 11 2003 Elsevier Amsterdam, The Netherlands (Chapter 6)
6. E. Dockner, S. Jøgensen, N.V. Long, and G. Sorger Differential Games in Economics and Management Science 2000 Cambridge University Press Cambridge, UK
7. X. He, A. Prasad, S.P. Sethi, and G.J. Gutierrez A survey of Stackelberg differential game models in supply chain and marketing channels Journal of Systems Science and Systems Engineering 16 4 2007 385 413 (Pubitemid 351362410)
8. G. Leitmann On generalized Stackelberg strategies Journal of Optimization Theory and Applications 26 4 1978 635
9. M. Simaan, and J.B. Cruz Jr. On the Stackelberg strategy in nonzero-sum games Journal of Optimization Theory and Applications 11 6 1973 533 555
10. M. Simaan, and J.B. Cruz Jr. Additional aspects of the Stackelberg strategy in nonzero-sum games Journal of Optimization Theory and Applications 11 6 1973 613 626
11. H. von Stackelberg, Marktform und Gleichgewicht, Springer, Vienna, 1934 (An English translation appeared, The Theory of the Market Economy, Oxford University Press, Oxford, England, 1952.).