Necessary and Sufficient Condition for Two-Player Stackelberg Strategy

Juanjuan Xu · Huanshui Zhang · Tianyou Chai

71 citations0/0 files storedIEEE Transactions on Automatic Control

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Game Theory and Applications Advanced Control Systems Optimization Guidance and Control Systems

Abstract

This technical note revisits the open-loop Stackelberg strategy for a two-player game. By introducing a new costate, which captures the future information of the control input, we present a necessary and sufficient condition for the existence and uniqueness of the two-player game. The optimal strategy is designed in terms of three decoupled and symmetric Riccati equations which improves the existing results greatly on computation.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 71 citations exist upstream.

References

1982Dynamic Noncooperative Game Theory 1995Dynamic noncooperative game theory 1969Nonzero-sum differential games 1973On the Stackelberg strategy in nonzero-sum games 1973Additional aspects of the Stackelberg strategy in nonzero-sum games 1978On generalized Stackelberg strategies 1972Stackelburg solution for two-person games with biased information patterns 1979Linear-quadratic, two-person, zero-sum differential games: Necessary and sufficient conditions

Cited by

2015Sufficient and Necessary Open-Loop Stackelberg Strategy for Two-Player Game With Time Delay 2017Linear-quadratic stochastic Stackelberg differential game with asymmetric information 2017Discrete-Time Robust Hierarchical Linear-Quadratic Dynamic Games 2019Optimal control with irregular performance

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.