Combining additive representations on subsets into an overall representation

Many traditional conjoint representations of binary preferences are additively decomposable, or additive for short. An important generalization arises under rank-dependence, when additivity is restricted to cones with a fixed ranking of components from best to worst (comonotonicity), leading to configural weighting, rank-dependent utility, and rank- and sign-dependent utility (prospect theory). This paper provides a general result showing how additive representations on an arbitrary collection of comonotonic cones can be combined into one overall representation that applies to the union of all cones considered. The result is applied to a new paradigm for decision under uncertainty developed by Duncan Luce and others, which allows for violations of basic rationality properties such as the coalescing of events and other framing conditions. Through our result, a complete preference foundation of a number of new models by Luce and others can be obtained. We also show how additive representations on different full product sets can be combined into a representation on the union of these different product sets.     

Representation, interaction, and intersubjectivity

What the participants share, their common "sense" of the world, creates a foundation, a framing, an orientation that enables human actors to see and act in coordination with one another. For recurrent activities, the methods the participants use to understand each other as they act change, making the intersubjective space in which actors operate richer and easier to produce. This article works through some of the issues that emerge from a close examination of intersubjectivity as it is managed through representation and interaction. The data that are presented document, in detail, a sequence of related interactions, within and across episodes of cooperation, where continuity and change can be observed. The emergence of conversational structure and coordinating representations are significant milestones in the long-term development of a representational practice that support the runtime co-construction of intersubjective space. Conversational structures emerge interactively to mediate recurrent points of coordination in the domain activity, and only secondarily the conversation itself. Coordinating representations change the representational practice of the participants by making it easier to manage their "shared view" of the collective work, enabling the participants to make progress, expand the field of the common activity, while exhibiting more control of if and when explicit grounding occurs.     

Shared intention and personal intentions

This article explores the question: what is it for two or more people to intend to do something in the future? In a technical phrase, what is it for people to share an intention? Extending and refining earlier work of the author’s, it argues for three criteria of adequacy for an account of shared intention (the disjunction, concurrence, and obligation criteria) and offers an account that satisfies them. According to this account, in technical terms explained in the paper, people share an intention when and only when they are jointly committed to intend as a body to do such-and-such in the future. This account is compared and contrasted with the common approach that treats shared intention as a matter of personal intentions, with particular reference to the work of Michael Bratman.     

Attention to repeated events in human infants (Homo sapiens): effects of joint visual attention versus stimulus change

The goal of this study was to examine the effect of joint visual attention on infants' behavior during subsequent events. Thirty-seven mother-infant (aged from 9 to 13 months) pairs were twice shown a pair of line drawing stimuli on a computer screen. For the control group, the mother never paid attention to the stimuli. For experimental group 1, the mother pointed to one stimulus in the first presentation but did not point to it in the second presentation. The infants gazed longer at the stimulus pointed to by their mothers in the first presentation. In the second presentation, during which mothers did not attend to the stimuli, infants gazed longer at the stimulus which had been pointed to by the mothers in the first presentation. In experimental group 2, one of two stimuli blinked during the first presentation but not the second presentation. Infants gazed for longer at the blinking stimulus in the first presentation, but there was no difference in looking time toward the two stimuli in the second presentation. These results suggest that joint visual attention affects infants' looking behavior during subsequent events, and that simple stimulus change does not. Accepted after revision: 2 May 2001 Electronic Publication     

Navigating joint projects with dialogue

Dialogue has its origins in joint activities, which it serves to coordinate. Joint activities, in turn, usually emerge in hierarchically nested projects and subprojects. We propose that participants use dialogue to coordinate two kinds of transitions in these joint projects: vertical transitions, or entering and exiting joint projects; and horizontal transitions, or continuing within joint projects. The participants help signal these transitions with project markers, words such as uh‐huh, m‐hm, yeah, okay, or all right. These words have been studied mainly as signals of listener feedback (back‐channel signals) or turn‐taking devices (acknowledgment tokens). We present evidence from several types of well‐defined tasks that they are also part of a system of contrasts specialized for navigating joint projects. Uh‐huh, m‐hm and yeah are used for horizontal transitions, and okay and all right for vertical transitions.     

DOES CONDITIONAL DISCRIMINATION LEARNING BY PIGEONS NECESSARILY INVOLVE HIERARCHICAL RELATIONSHIPS?

Four experiments demonstrate that when putative conditional and discriminative cues are presented simultaneously in the single reversal procedure, it is not possible to ascribe a uniquely conditional or uniquely discriminative function to either of the cues. In Experiment 1, pigeons were trained to respond to a blue key and not to a red key while the houselight was on; then in a different session they learned the reversal of this discrimination with the houselight off (single reversal). Separate groups were tested for color generalization with houselight conditions alternating in blocks of trials or for houselight intensity generalization with blue and red key colors alternating in blocks of trials. Both test procedures revealed a conditional relationship between houselight and key color conditions. Experiment 2 produced the same result following training in which the key colors were held constant across training sessions while the houselight and no houselight conditions varied within sessions. In Experiment 3, separate groups were trained with the two procedures but were tested with randomly ordered combinations of key colors and houselight intensities. The two groups yielded indistinguishable bidimensional generalization gradients with peaks at both previously reinforced stimulus combinations. In Experiment 4 the subjects were switched from one of these training procedures to the other with no decrement in their discriminative performance. We conclude that for successive discriminations between conditional- and discriminative-stimulus combinations, the notion of a hierarchical relation between conditional and discriminative stimuli must be extended to include a symmetrical relationship or the notion should be abandoned altogether.     

Evidence for a role of the responding agent in the joint compatibility effect

The present study explored the role of the responding agent in a social context. To do so, we developed a compatibility task with socially relevant but task-irrelevant stimuli (own face, neutral face, and a friend's face). Participants were required to perform naming responses to coloured diamonds, while the faces were presented as irrelevant stimuli. We observed faster responses in face–name compatible than in incompatible conditions. When the task was distributed among two friends, we observed a compatibility effect in a joint go/no-go condition, in which both participants performed their go/no-go tasks together. In contrast, no compatibility effect was obtained in an individual go/no-go condition. Further, the experiment showed that this joint compatibility effect was based on the compatibility between the irrelevant face and the responding agent. This result demonstrates that features of the responding agent play a crucial role in the joint compatibility effect.     

Language development at 18 months is related to multimodal communicative strategies at 12 months

The present study investigated the degree to which an infants’ use of simultaneous gesture–speech combinations during controlled social interactions predicts later language development. Nineteen infants participated in a declarative pointing task involving three different social conditions: two experimental conditions (a) available, when the adult was visually attending to the infant but did not attend to the object of reference jointly with the child, and (b) unavailable, when the adult was not visually attending to neither the infant nor the object; and (c) a baseline condition, when the adult jointly engaged with the infant's object of reference. At 12 months of age measures related to infants’ speech-only productions, pointing-only gestures, and simultaneous pointing–speech combinations were obtained in each of the three social conditions. Each child's lexical and grammatical output was assessed at 18 months of age through parental report. Results revealed a significant interaction between social condition and type of communicative production. Specifically, only simultaneous pointing–speech combinations increased in frequency during the available condition compared to baseline, while no differences were found for speech-only and pointing-only productions. Moreover, simultaneous pointing–speech combinations in the available condition at 12 months positively correlated with lexical and grammatical development at 18 months of age. The ability to selectively use this multimodal communicative strategy to engage the adult in joint attention by drawing his attention toward an unseen event or object reveals 12-month-olds’ clear understanding of referential cues that are relevant for language development. This strategy to successfully initiate and maintain joint attention is related to language development as it increases learning opportunities from social interactions.