This paper studies a class of dynamic Stackelberg games under open-loop information structure with constrained linear agent dynamics and quadratic utility functions. We show two important properties for this class of dynamic Stackelberg games. First, we prove that under mild conditions, the optimal control of individual agents at the solution of the Stackelberg game coincides with the solution ...

Perturbing information, before being shared with untrusted entities, is an effective and widely proposed approach to protect users’ privacy. However, the privacy of users and the utility of the obfuscated information are at odds with each other, and increasing one results in decreasing the other. In this paper, we propose a methodology for designing protection mechanisms that optimally trade ut...

This paper studies equilibrium incentives in a vertically differentiated duopoly with price competition. We analyze one simultaneous-move game and two sequential-move games. In a simultaneous-move game, firms' managers determine their prices simultaneously in the first stage of the game and in the second stage two firms determine incentive schemes. One sequential-move game considers the case in...

We consider settings in which voters vote in sequence, each voter knows the votes of the earlier voters and the preferences of the later voters, and voters are strategic. This can be modeled as an extensive-form game of perfect information, which we call a Stackelberg voting game. We first propose a dynamic-programming algorithm for finding the backward-induction outcome for any Stackelberg vot...

It is now widely accepted that in many situations where classifiers are deployed, adversaries deliberately manipulate data in order to reduce the classifier’s accuracy. The most prominent example is email spam, where spammers routinely modify emails to get past classifier-based spam filters. In this paper we begin by modeling the interaction between the adversary and the data miner as a finite ...

The equilibrium network signal control problem is represented as a Stackelberg game. Due to the characteristics of a Stackelberg game, solving the upper-level problem and lower-level problem iteratively cannot be expected to converge to the solution. The reaction function of the lower-level problem is the key information to solve a Stackelberg game. Usually, the reaction function is approximate...

This paper focuses on the single-issue negotiation between Manufacture Agent (MA) and Material Supplier Agent (MSA) of the supply chain. MSA resorts to find partners to cooperate when it cannot finish the order independently. A two stage negotiation protocol is proposed. The cooperative game is combined with MA-Stackelberg game to resolve the negotiation problem. It is used to establish the coa...

This paper investigates inventory management in a multi channel distribution system consisting of one manufacturer and an arbitrary number of retailers that face stochastic demand. Existence of the pure Nash equilibrium is proved and parameter restriction which implies uniqueness of it is derived. Also the Stackelberg game where the manufacturer plays a roll as a leader is discussed. Under spec...