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.

Perceptions of younger, middle-aged, and older adults in Australia and Japan: Stereotypes and age group vitality

This study investigated the perceptions of young adults in Japan and Australia about their own age group, as well as middle-aged and older adults. Using a self-administered questionnaire, 155 Japanese and 171 Australian students rated people in the three age groups on traits of personal vitality and benevolence, and also rated their age group vitalities. Results indicated that Australians perceived both middle-aged and older adults in more positive terms than did Japanese and also perceived the vitality of these age groups as higher. On the other hand, both Japanese and Australian young people judged the vitality of their own group as lower than that of middle-aged adults. These results suggest that norms of filial piety, especially its respect dimension, in Japan may be eroding, whereas older Australians may be gaining in social stature.

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.