The non-existence of a utility function and the structure of non-representable preference relations

In this paper we investigate the structure of non-representable preference relations. While there is a vast literature on different kinds of preference relations that can be represented by a real-valued utility function, very little is known or understood about preference relations that cannot be represented by a real-valued utility function. There has been no systematic analysis of the non-representation problem. In this paper we give a complete description of non-representable preference relations which are total preorders or chains. We introduce and study the properties of four classes of non-representable chains: long chains, planar chains, Aronszajn-like chains and Souslin chains. In the main theorem of the paper we prove that a chain is non-representable if and only it is a long chain, a planar chain, an Aronszajn-like chain or a Souslin chain. (C) 2002 Published by Elsevier Science B.V.

The effects of status on subgroup relations

Two experiments were conducted to assess the impact of status differentials on subgroup attitudes and behaviours. In Experiment 1, 73 maths-science students were led to believe they had higher or lower status than humanities students. They then performed a non-interactive decision-making task during which they were categorized exclusively as a university student (superordinate condition), or as a university student and maths-science student simultaneously (subgroups condition). Experiment 2 (N = 98) differed from Experiment I in that perceptions of relative subgroup status were measured rather than manipulated. Consistent with social identity theory, subgroup members tended to categorize themselves more at the superordinate (university) level the lower status they considered their subgroup to be. In Experiment 2, a series of interactions also emerged, showing that status and inter-subgroup bias were positively related when the participants had been categorized exclusively at the superordinate level. When superordinate and subgroup identities were activated simultaneously, perceptions of status had no effect on levels of bias. The results were interpreted in terms of participants' needs for identity enhancement and identity distinctiveness.

Leaf water relations of Eucalyptus cloeziana and Eucalyptus argophloia in response to water deficit

Leaf water relations responses to limited water supply were determined in 7-month-old plants of a dry inland provenance of Eucalyptus argophloia Blakely and in a humid coastal provenance (Gympie) and a dry inland provenance (Hungry Hills) of Eucalyptus cloeziana F. Muell. Each provenance of E. cloeziana exhibited a lower relative water content at the turgor loss point, a lower apoplastic water content, a smaller ratio of dry mass to turgid mass and a lower bulk modulus of elasticity than the single provenance of E. argophloia. Osmotic potential at full turgor and water potential at the turgor loss point were significantly lower in E. argophloia and the inland provenance of E. cloeziana than in the coastal provenance of E. cloeziana. There was limited osmotic adjustment in response to soil drying in E. cloeziana, but not in E. argophloia. Between-species differences in water relations parameters were larger than those between the E. cloeziana provenances. Both E. cloeziana provenances maintained turgor under moderate water stress through a combination of osmotic and elastic adjustments. Eucalyptus argophloia had more rigid cell walls and reached lower water potentials with less reduction in relative water content than either of the E. cloeziana provenances, thereby enabling it to extract water from dryer soils.

Relations between high and low power groups: The importance of legitimacy

Using a social identity perspective, two experiments examined the effects of power and the legitimacy of power differentials on intergroup bias. In Experiment 1, 125 math-science students were led to believe that they had high or low representation in a university decision-making body relative to social-science students and that this power position was either legitimate or illegitimate. Power did not have an independent effect on bias; rather, members of both high and low power groups showed more bias when the power hierarchy was illegitimate than when it was legitimate. This effect was replicated in Experiment 2 (N =105). In addition, Experiment 2 showed that groups located within an unfair power hierarchy expected the superordinate power body to be more discriminatory than did those who had legitimately high or low power. The results are discussed in terms of their implications for group relations.

Apocalypse forever? International relations implications of 11 September

This is a contribution to ongoing discussion of the international relations issues raised by the terrorist attacks of 11 September 2001. It acknowledges apparent failings (of analysis or prediction) in the IR literature but then suggests the shortcomings are really the product of divergent traditions of analysis (behaviouralism, structuralism and evolutionism) which isolate different aspects of phenomena for attention. The paper then discusses the contrast between hard power and soft power - to help identify the distinctiveness of the new forms of terrorism (their non-linear objectives and the lack of proportionality involved). It concludes on an encouraging note by urging international cooperation as a solution, even in cases where the protagonists' resentments have tended to militate against conventional channels of dispute resolution.