×

Incentive schemes using the follower’s strategies in differential games. (English) Zbl 0589.90100

Summary: We deal with Stackelberg games in which a leader has access not only to the state information but also to information on the follower’s strategy. We derive sufficient conditions for incentive schemes using information on the follower’s strategies in both linear and nonlinear differential games, and show that the incentive schemes using information on the follower’s strategies depend on an initial state value. We also derive a sufficient condition for the incentive scheme using the follower’s strategy in the linear quadratic differential game with infinite time interval.

MSC:

91A23 Differential games (aspects of game theory)
91A99 Game theory
Full Text: DOI

References:

[1] BAŞAR T., SIAM J. Control Optim. 22 pp 199– (1984) · Zbl 0536.93047 · doi:10.1137/0322015
[2] BAŞAR T., Automatica 16 pp 409– (1980) · Zbl 0444.93004 · doi:10.1016/0005-1098(80)90026-6
[3] Ho Y. C, Automatica 18 pp 167– (1982) · Zbl 0477.90003 · doi:10.1016/0005-1098(82)90106-6
[4] ISHIDA T., Int. J. Control 38 pp 1135– (1983) · Zbl 0531.90106 · doi:10.1080/00207178308933135
[5] ZHENG Y. P., Int. J. Control 35 pp 997– (1982) · Zbl 0484.90099 · doi:10.1080/00207178208922667
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.