Concepts and Methods in Multi-Person Coordination and Control

Tamer Başar · Jose B. Cruz

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Game Theory and Applications Advanced Control Systems Optimization Distributed Control Multi-Agent Systems

Abstract

In this paper we discuss some key concepts and methods relevant to multi-person decision-making and optimization in deterministic and stochastic dynamic systems. Specifically, we consider systems defined in discrete-time, and treat the team, Nash and Stackelberg (leader-follower) solution concepts under different information structures. We provide an up-to-date survey of the literature on these topics, and also present some new results. (Author)

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References

1982Dynamic Noncooperative Game Theory 1955Theory of Games and Statistical Decisions.1973Additional aspects of the Stackelberg strategy in nonzero-sum games 1978On generalized Stackelberg strategies 1976Expectations and Stability in Oligopoly Models 1979Closed-loop Stackelberg strategies with applications in the optimal control of multilevel systems 1974Informational properties of the Nash solutions of two stochastic nonzero-sum games 1975Noncooperative and Dominant Player Solutions in Discrete Dynamic Games

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