According to the Olson paradox, larger groups may be less successful than smaller groups in furthering their interests. We address the issue in a model with three distinctive features: explicit intergroup interaction, collective prizes with a varying mix of public and private characteristics, and nonlinear lobbying costs. The interplay of these features leads to new results. When the cost of lo...

On November 20, 2009, the Industrial Wind Action Group (IWAG) posted an editorial that, in part, lists a number of concerns about Berkeley Lab’s efforts to investigate the presence of residential property value impacts associated with U.S. wind power facilities. 1 That editorial follows from more-extensive review comments provided on September 11, 2009 by the Industrial Wind Action Group. 2 The...

Robotic projects encompass the rich nature of integrated systems that includes computational, mechanical, and electrical components. Recent development of robot platforms has made robotics development accessible to anyone regardless of their background knowledge in these areas. Yet using robotics projects effectively as a learning experience does require some understanding of these areas. To ad...

In this paper we investigate the possible states of knowledge among a group of individuals and their relations to decision making. A travelling salesman found himself spending the night at home with his wife when one of his trips was accidentally cancelled. The two of them were sound asleep, when in the middle of the night there was a loud knock at the front door. The wife woke up with a start ...

Let O denote the ring of integers in a p-adic local field. Recall that O-modules are formal groups with an O-action such that the induced action on the Lie algebra is via scalars. In the paper this notion is generalised to finite flat group schemes. It is shown that the usual properties carry over. For example, Cartier duality holds with the multiplicative group replaced by the Lubin–Tate group...

In this paper, we approach the idea of group cognition from the perspective of the ‘‘extended mind’’ thesis, as a special case of the more general claim that systems larger than the individual human, but containing that human, are capable of cognition (Clark , 2008; Clark & Chalmers, 1998). Instead of deliberating about ‘‘the mark of the cognitive’’ (Adams & Aizawa, 2008), our discussion of gro...

We lift the lattice of translations in the extended affine Weyl group to a braid group action on the quantum affine algebra. This action fixes the Heisenberg subalgebra pointwise. Loop like generators are found for the algebra which satisfy the relations of Drinfel ′ d's new realization. Coproduct formulas are given and a PBW type basis is constructed. §0. Introduction. The purpose of this pape...

We analyze the problem of estimating a signal from multiple measurements on a group action channel that linearly transforms a signal by a random group action followed by a fixed projection and additive Gaussian noise. This channel is motivated by applications such as multi-reference alignment and cryoelectron microscopy. We focus on the large noise regime prevalent in these applications. We giv...

This article is based on an introductory lecture delivered at the Journée Nationales de Calcul Formel that took place at the Centre International de Recherche en Mathématiques (2013) in Marseille. We introduce basic notions on algebraic group actions and their invariants. Based on geometric consideration, we present algebraic constructions for a generating set of rational invariants. http://hal...

The paper adjoins the book [PV] and turns to be, in a sense, its continuation. In the book the varieties of representations had been considered. In the matter of fact, the varieties under consideration are action-type varieties. This paper studies other classes of representations, axiomatizable in the special action-type logic. 1 Background (preliminaries)