For a duopoly environment, we model the leader and follower real value functions assuming that the leader’s “market share” evolves according to an immigration (birth) and death process. We derive analytical solutions for the follower and leader options to invest, and numerical solutions for the leader’s optimal investment timing. Then we calculate the partial derivatives of the leader and follo...

This paper introduces the notion of manipulability to mobile, multi-agent networks as a tool to analyze the instantaneous effectiveness of injecting control inputs at certain, so-called leader nodes in the network. Effectiveness is interpreted to characterize how the movements of the leader nodes translate into responses among the remaining follower nodes. This notion of effectiveness is a func...

Consider two identical discrete-time, finite-dimensional, linear and time-invariant systems denoted as leader and follower. The leader system is driven by a deterministic control input and by a zero-mean white Gaussian process noise. In this paper, we address the problem of designing a networked control scheme for the follower system that guarantees that the state of the follower system tracks ...

This work consider the problem of flow control using incentive strategy in Stackelberg game theory. The network model employed here is that users route their flows from a common source to a common destination node, each of them trying to optimize its individual performance objective. First, the existing Stackelberg routing strategy is briefly introduced. And then, the linear Stackelberg incenti...

Spontaneous bursting activity in cultured neuronal networks is initiated by leader neurons, which constitute a small subset of first-to-fire neurons forming a sub-network that recruits follower neurons into the burst. While the existence and stability of leader neurons is well established, the influence of stimulation on the leader-follower dynamics is not sufficiently understood. By combining ...

This paper presents a motion control strategy for a rigid and constraint consistent formation that can be modeled by a directed graph whose each vertex represents individual agent kinematics and each of directed edges represents distance constraints maintained by an agent, called follower, to its neighbouring agents. A rigid and constraint consistent graph is called persistent graph. A persiste...

Effort estimation (EE) is crucial for planning software projects since it contributes to delivery goals. Nevertheless, even in agile methodologies, EE a complex process due environmental and structural factors surrounding the interaction between leader development team. To simplify EE, companies prefer insourcing with mature team that provides resources. We model as leader-follower game underst...