Reflexivity for sustainability: appreciating entanglement and becoming relationally reflexive

This paper attempts to open up new possibilities for reflexivity which can help promote adequate human responses to sustainability issues. It explores how predominant ideas about reflexivity are located within an individualistic perspective of bounded and independent selves. The relational thinking of Gergen (2009) and Hosking (2011) is discussed to consider the implications for approaching selves as unbounded and interdependent. It develops the concept of relational reflexivity which is argued to respect the social and material entanglements of selves and foster systemic intelligence and action

Metalogue: trying to talk about (un)sustainability - a reflection on experience

This paper considers dilemmas for organization and management scholars studying and writing about environmental sustainability. It suggests that sustainability requires new ways of thinking which in turn require new forms of representation to help foster their emergence. Consequently, the paper partly takes the experimental form of a ‘metalogue’ (Bateson, 1972), in which the structure of the conversation between the authors is intended to be reflective of the content of the problematic subject discussed, in this case their experiences of trying to raise critical questions about scholarship for sustainability. This experimental form, which invites the reader to eschew expectations of typical points of orientation, enables an appreciation of how forms of argument seem to replicate epistemological challenges in the sustainability field. The paper shows how metaloguing becomes not only an alternative form but also an inquiry process for considering sustainability that can support embodied reflexivity, critical questioning and appreciation of entanglements of people-scholars

Instability conditions for some periodic BGK waves in the Vlasov-Poisson system

A one-dimensional, collisionless plasma given by the Vlasov-Poisson system is considered and the stability properties of periodic steady state solutions known as Bernstein-Greene-Kruskal (BGK) waves are investigated. Sufficient conditions are determined under which BGK waves are linearly unstable under perturbations that share the same period as the equilibria. It is also shown that such solutions cannot support a monotonically decreasing particle distribution function.Comment: 8 pages; PACS codes 52.25.Dg, 02.30.Jr, 52.35.-

Finance Applications of Game Theory

Traditional finance theory based on the assumptions of symmetric information and perfect and competitive markets has provided many important insights. These include the Modigliani and Miller Theorems, the CAPM, the Efficient Markets Hypothesis and continuous time finance. However, many empirical phenomena are difficult to reconcile with this traditional framework. Game theoretic techniques have allowed insights into a number of these. Many puzzles remain. This paper argues that recent advances in game theory concerned with higher order beliefs, informational cascades and heterogeneous prior beliefs have the potential to provide insights into some of these remaining puzzles.

Finance Applications of Game Theory

Traditional finance theory based on the assumptions of symmetric information and perfect and competitive markets has provided many important insights. These include the Modigliani and Miller Theorems, the CAPM, the Efficient Markets Hypothesis and continuous time finance. However, many empirical phenomena are difficult to reconcile with this traditional framework. Game theoretic techniques have allowed insights into a number of these. Many puzzles remain. This paper argues that recent advances in game theory concerned with higher order beliefs, informational cascades and heterogeneous prior beliefs have the potential to provide insights into some of these remaining puzzles.

A dual graph construction for higher-rank graphs, and KK-theory for finite 2-graphs

Given a $k$-graph $\Lambda$ and an element $p$ of \NN^k, we define the dual $k$-graph, $p\Lambda$. We show that when $\Lambda$ is row-finite and has no sources, the $C^*$-algebras $C^*(\Lambda)$ and $C^*(p\Lambda)$ coincide. We use this isomorphism to apply Robertson and Steger's results to calculate the $K$-theory of $C^*(\Lambda)$ when $\Lambda$ is finite and strongly connected and satisfies the aperiodicity condition.Comment: 9 page