Stackelberg Strategies for Singular Dynamic Games
نویسندگان
چکیده
, Abstract. This paper is concerned with the derivation of open-loop 8tackelberg (OL8) solutions of a class of continuoustime two-player nonzero-sum differential games characterized by quadratic cost functionals and linear singular systems. By applying the calculus of variations, necessary conditions are derived under which the op~n-Ioop 8tackelberg solution of the leader exists. Under the transformation by which the matrix E has diagonal form, we derive a matrix Riccati differential equation from the necessary conditions. An example is given to illustrate the results of the paper.
منابع مشابه
Pricing and Advertising Decisions in a Three-level Supply Chain with Nash, Stackelberg and Cooperative Games
Pricing and advertising are two important marketing strategies in the supply chain management which lead to customer demand’s increase and therefore higher profit for members of supply chains. This paper considers advertising, and pricing decisions simultaneously for a three-level supply chain with one supplier, one manufacturer and one retailer. The amount of market demand is influenced ...
متن کاملNash and Stackelberg solutions to general linear-quadratic two-player difference games. II. Open-closed strategies
This paper deals with difference games in which the information structures of the players are not equal. Nash and Stackelberg solutions to deterministic linear-quadratic two-player difference games are presented. The open-closed strategies are considered where one of the players can only use the initial state whereas the other has access to perfect memory information of the state. Stackelberg o...
متن کاملA Survey of Stackelberg Differential Game Models in Supply and Marketing Channels
Stackelberg differential game models have been used to study sequential decision making in noncooperative games in diverse fields. In this paper, we survey recent applications of Stackelberg differential game models to the supply chain management and marketing channels literatures. A common feature of these applications is the specification of the game structure: a decentralized channel compose...
متن کاملApproachability in Stackelberg Stochastic Games with Vector Costs
The notion of approachability was introduced by Blackwell [1] in the context of vector-valued repeated games. The famous ‘Blackwell’s approachability theorem’ prescribes a strategy for approachability, i.e., for ‘steering’ the average vector cost of a given agent towards a given target set, irrespective of the strategies of the other agents. In this paper, motivated by the multi-objective optim...
متن کاملComputing Optimal Strategies to Commit to in Stochastic Games
Significant progress has been made recently in the following two lines of research in the intersection of AI and game theory: (1) the computation of optimal strategies to commit to (Stackelberg strategies), and (2) the computation of correlated equilibria of stochastic games. In this paper, we unite these two lines of research by studying the computation of Stackelberg strategies in stochastic ...
متن کامل