In Stackelberg games, a “leader” player first chooses a mixed strategy to commit to, then a “follower” player responds based on the observed leader strategy. Notable strides have been made in scaling up the algorithms for such games, but the problem of finding optimal leader strategies spanning multiple rounds of the game, with a Bayesian prior over unknown follower preferences, has been left u...

In this paper, leader–follower coordination problems of a kind of heterogeneous multi-agent systems are studied by applying iterative learning control (ILC) scheme in a repeatable control environment. The heterogeneous multi-agent systems are composed of first-order and second-order dynamics in two aspects. The leader is assumed to have second-order dynamics and the trajectories of the leader a...

Phenotypic heterogeneity is widely observed in cancer cell populations. Here, to probe this heterogeneity, we developed an image-guided genomics technique termed spatiotemporal genomic and cellular analysis (SaGA) that allows for precise selection and amplification of living and rare cells. SaGA was used on collectively invading 3D cancer cell packs to create purified leader and follower cell l...

We consider the problem of having a group of nonholonomic mobile robots equipped with omnidirectional cameras maintain a desired leader-follower formation. Our approach is to translate the formation control problem from the configuration space into a separate visual servoing task for each follower. We derive the equations of motion of the leader in the image plane of the follower and propose tw...

Traditionally, cam-follower systems are designed by assuming a constant camshaft speed. Nevertheless, all cam-follower systems, especially high-speed systems, exhibit some camshaft speed fluctuation (despite the presence of a flywheel) which causes distorted follower motions and subsequent dynamical problems. The authors previously proposed two methods to overcome these problems: (i) the synthe...

We consider the problem of distributed leader-follower formation control for nonholonomic mobile robots equipped with central-panoramic cameras. By specifying the desired formation in the image plane, we translate the control problem into a separate visual servoing task for each follower. We use a rank constraint on the omnidirectional optical flows across multiple frames to estimate the positi...

This paper aims to develop a new bi-level game model for joint pricing and inventory decisions in competitive supply chain consisting of dominant manufacturer, who produces single perishable product from deteriorating raw materials, two follower retailers face nonlinear price-dependent demand operate under Cournot assumptions. Three levels warehousing including material warehouse, final retail ...

Follower loads, i.e. loads which depend on the boundary displacements by definition, frequently occur in finite deformation boundary-value problems. Restricting to axisymmetrical applications, we provide analytical and numerical solutions for a set of problems in compressible Neo-Hookean materials so to serve as benchmark problems for verifying the accuracy and efficiency of various FE methods ...

We consider a single-item, independent private value auction environment with two bidders: a leader, who knows his valuation, and a follower, who privately chooses how much to learn about his valuation. We show that, under some conditions, an ex-post efficient revenuemaximizing auction—which solicits bids sequentially—partially discloses the leader’s bid to the follower, to influence his learni...

Leadership research that examines follower characteristics as a potential moderator of leadership effectiveness is lacking. Within Bass's (1985) transformational leadership framework, we examined follower narcissism as a moderator of the coach behavior-coach effectiveness relationship. Youth athletes (male = 103, female = 106) from the Singapore Sports Academy (mean age = 14.28, SD = 1.40 years...