Stackelberg games

2018 ◽  
pp. 261-311 ◽  
Author(s):  
Ludovic A. Julien
Keyword(s):  
Stackelberg Games

scholarly journals Backward-forward linear-quadratic mean-field Stackelberg games

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Kehan Si ◽  
Zhen Wu
Keyword(s):  
Large Population ◽  
Consistency Condition ◽  
Market Price ◽  
Mean Field ◽  
Mapping Method ◽  
Open Loop ◽  
Stackelberg Games ◽  
Linear Quadratic ◽  
Population System ◽  
The Cost

AbstractThis paper studies a controlled backward-forward linear-quadratic-Gaussian (LQG) large population system in Stackelberg games. The leader agent is of backward state and follower agents are of forward state. The leader agent is dominating as its state enters those of follower agents. On the other hand, the state-average of all follower agents affects the cost functional of the leader agent. In reality, the leader and the followers may represent two typical types of participants involved in market price formation: the supplier and producers. This differs from standard MFG literature and is mainly due to the Stackelberg structure here. By variational analysis, the consistency condition system can be represented by some fully-coupled backward-forward stochastic differential equations (BFSDEs) with high dimensional block structure in an open-loop sense. Next, we discuss the well-posedness of such a BFSDE system by virtue of the contraction mapping method. Consequently, we obtain the decentralized strategies for the leader and follower agents which are proved to satisfy the ε-Nash equilibrium property.

Bayesian stackelberg games and their application for security at Los Angeles international airport

2008 ◽  
Vol 7 (2) ◽  
pp. 1-3 ◽  
Author(s):  
Manish Jain ◽  
James Pita ◽  
Milind Tambe ◽  
Fernando Ordóñez ◽  
Praveen Paruchuri ◽  
...  
Keyword(s):  
Los Angeles ◽  
Stackelberg Games ◽  
International Airport

The Stackelberg Games of Water Extraction with Myopic Agents

2021 ◽  
Author(s):  
Alain Jean-Marie ◽  
Mabel Tidball ◽  
Víctor Bucarey López
Keyword(s):  
Stackelberg Game ◽  
Infinite Horizon ◽  
Dynamic Game ◽  
Water Extraction ◽  
Discount Factor ◽  
Stackelberg Games ◽  
Groundwater Extraction ◽  
Strategic Interactions ◽  
Water Users ◽  
Threshold Policies

We consider a discrete-time, infinite-horizon dynamic game of groundwater extraction. A Water Agency charges an extraction cost to water users and controls the marginal extraction cost so that it depends not only on the level of groundwater but also on total water extraction (through a parameter [Formula: see text] that represents the degree of strategic interactions between water users) and on rainfall (through parameter [Formula: see text]). The water users are selfish and myopic, and the goal of the agency is to give them incentives so as to improve their total discounted welfare. We look at this problem in several situations. In the first situation, the parameters [Formula: see text] and [Formula: see text] are considered to be fixed over time. The first result shows that when the Water Agency is patient (the discount factor tends to 1), the optimal marginal extraction cost asks for strategic interactions between agents. The contrary holds for a discount factor near 0. In a second situation, we look at the dynamic Stackelberg game where the Agency decides at each time what cost parameter they must announce. We study theoretically and numerically the solution to this problem. Simulations illustrate the possibility that threshold policies are good candidates for optimal policies.

scholarly journals Supply Chain Coordination under Stock- and Price-Dependent Selling Rates under Declining Market

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Subrata Saha ◽  
Sambhu Das ◽  
Manjusri Basu
Keyword(s):  
Supply Chain ◽  
Supply Chain Coordination ◽  
Revenue Sharing ◽  
Stackelberg Games ◽  
Numerical Examples ◽  
Revenue Sharing Contract ◽  
Demand Rate ◽  
Time Price

We explore coordination issues of a two-echelon supply chain, consisting of a distributor and a retailer. The effect of revenue-sharing contract mechanism is examined under stock-time-price-sensitive demand rate. First, we investigate relationships between distributor and retailer under noncooperative distributor-Stackelberg games. Then we establish analytically that revenue sharing contact is able to coordinate the system and leads to the win-win outcomes. Finally, numerical examples are presented to compare results between the different models.

A Sensitivity Based Approach to Determining Non-Cooperative Solutions in Nash and Stackelberg Games

2012 ◽  
Author(s):  
Ehsan Ghotbi ◽  
Wilkistar A. Otieno ◽  
Anoop K. Dhingra
Keyword(s):  
Response Surface Methodology ◽  
Computational Effort ◽  
Stackelberg Games ◽  
Nash Solution ◽  
Numerical Errors ◽  
Multiobjective Problems ◽  
Cooperative Solutions ◽  
The One ◽  
Rational Reaction Set ◽  
The Nash Solution

A sensitivity based approach is presented to determine Nash solution(s) in multiobjective problems modeled as a non-cooperative game. The proposed approach provides an approximation to the rational reaction set (RRS) for each player. An intersection of these sets yields the Nash solution for the game. An alternate approach for generating the RRS based on design of experiments (DOE) combined with response surface methodology (RSM) is also explored. The two approaches for generating RRS are compared on three example problems to find Nash and Stackelberg solutions. It is seen that the proposed sensitivity based approach (i) requires less computational effort than a RSM-DOE approach, (ii) is less prone to numerical errors than the RSM-DOE approach, (iii) is able to find all Nash solutions when the Nash solution is not a singleton, (iv) is able to approximate non linear RRS, and (v) is able to find better a Nash solution on an example problem than the one reported in the literature.

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