Additive utility with intransitive indifference and without independence: A homogeneous case

In the homogeneous case of one type of goods or objects, we prove theexistence of an additive utility function without assuming transitivityof indifference and independence. The representation reveals a positivefactor smaller than 1 that infuences rational choice beyond the utilityfunction and explains departures from these standard axioms of utilitytheory (factor equals to 1).

Biased quantitative measurement of interval ordered homothetic preferences

We represent interval ordered homothetic preferences with a quantitative homothetic utility function and a multiplicative bias. When preferences are weakly ordered (i.e. when indifference is transitive), such a bias equals 1. When indifference is intransitive, the biasing factor is a positive function smaller than 1 and measures a threshold of indifference. We show that the bias is constant if and only if preferences are semiordered, and we identify conditions ensuring a linear utility function. We illustrate our approach with indifference sets on a two dimensional commodity space.

Antidepressant induced excessive yawning and indifference

Introduction Antidepressant induced excessive yawning has been described as a possible side effect of pharmacotherapy. A syndrome of indifference has also been described as another possible side effect. The frequency of those phenomena and their physiopathology are unknown. They are both considered benign and reversible after antidepressant discontinuation but severe cases with complications as temporomandibular lesions, have been described. Methods We report two unprecedented cases in which excessive yawning and indifference occurred simultaneously as side effects of antidepressant therapy, discussing possible physiopathological mechanisms for this co-occurrence. Case 1: A male patient presented excessive yawning (approximately 80/day) and apathy after venlafaxine XR treatment. Symptoms reduced after a switch to escitalopram, with a reduction to 50 yawns/day. Case 2: A female patient presented excessive yawning (approximately 25/day) and inability to react to environmental stressors with desvenlafaxine. Conclusion Induction of indifference and excessive yawning may be modulated by serotonergic and noradrenergic mechanisms. One proposal to unify these side effects would be enhancement of serotonin in midbrain, especially paraventricular and raphe nucleus.

Free triples, large indifference classes and the majority rule

We present a new domain of preferences under which the majority relation is always quasi-transitive and thus Condorcet winners always exist. We model situations where a set of individuals must choose one individual in the group. Agents are connected through some relationship that can be interpreted as expressing neighborhood, and which is formalized by a graph. Our restriction on preferences is as follows: each agent can freely rank his immediate neighbors, but then he is indifferent between each neighbor and all other agents that this neighbor "leads to". Hence, agents can be highly perceptive regarding their neighbors, while being insensitive to the differences between these and other agents which are further removed from them. We show quasi-transitivity of the majority relation when the graph expressing the neighborhood relation is a tree. We also discuss a further restriction allowing to extend the result for more general graphs. Finally, we compare the proposed restriction with others in the literature, to conclude that it is independent of any previously discussed domain restriction.

Ignorance and Indifference: Epistemic Indefinites in Slovak

This thesis investigates epistemic indefinites (EIs), elements noteworthy for their grammaticalized ignorance implicature, i.e. inability to provide further information about the identity of the expression's referent. This work contributes to the effort of finding a unified account of the cross-linguistic repertoire of EIs. It comprises a corpus survey and a semantic analysis of Slovak voľa- and -si, EI items not studied until now. First, the following hypothesis was tested: the semantic/syntactic functions expressed by an indefinite will fall into contiguous areas on an implicational map (Haspelmath 1997). The results of the corpus analysis revealed that the map does not entirely capture the Slovak EIs' functional distribution and interpretations. Secondly, the semantic analysis was developed within the alternatives-and-exhaustification framework (Chierchia 2013). I show that some of the EIs' behavior can be explained as a consequence of an assumed sensitivity to parameters proposed by Chierchia. I situate voľa- and -si with respect to the framework’s typology and offer a critical assessment of this theoretical perspective.

Challenging Indifference to Extreme Poverty: Considering Southern Perspectives on Global Citizenship and Change

Canadian universities are expanding opportunities for students to travel, study, volunteer and work abroad for academic credit, especially in regions of the global south often called “developing countries.” It is widely assumed that exposure to extreme poverty through shortterm placements overseas will make young Canadians and other Northerners into “global citizens” who would by definition be incapable of indifference to the lack of freedom that accompanies extreme poverty. This paper asks whether it is warranted for Northerners to attain a claim to global citizenship via this mechanism, especially in light of the burdens falling upon Southern organizations that host young people from Canada and elsewhere.

Automatic imitation of intransitive actions

Previous research has indicated a potential discontinuity between monkey and human ventral premotor-parietal mirror systems, namely that monkey mirror systems process only transitive (object-directed) actions, whereas human mirror systems may also process intransitive (non-object-directed) actions. The present study investigated this discontinuity by seeking evidence of automatic imitation of intransitive actions—hand opening and closing—in humans using a simple reaction time (RT), stimulus–response compatibility paradigm. Left–right and up–down spatial compatibility were controlled by ensuring that stimuli were presented and responses executed in orthogonal planes, and automatic imitation was isolated from simple and complex orthogonal spatial compatibility by varying the anatomical identity of the stimulus hand and response hemispace, respectively. In all conditions, action compatible responding was faster than action incompatible responding, and no effects of spatial compatibility were observed. This experiment therefore provides evidence of automatic imitation of intransitive actions, and support for the hypothesis that human and monkey mirror systems differ with respect to the processing of intransitive actions.

Translating Lucretia: word, image and 'ethical non-indifference' in Simon de Hesdin's translation of Valerius Maximus's 'Facta et dicta memorabilia'

An analysis of how illustrations functioned as a distinctive and important aspect of the translation of Latin versions of the story of the rape and suicide of Lucretia into Middle French texts, especially the 'Faits et dits memorables' (a translation-adaptation of Valerius Maximus's 'Facta et dicta memorabilia'). The study focuses on a selection of 14th- and 15th- century illuminations, and proposes also that the early modern 'Lucretia' portrait tradition should be viewed in the context of these images.

Packing triangles in low degree graphs and indifference graphs

We consider the problems of finding the maximum number of vertex-disjoint triangles (VTP) and edge-disjoint triangles (ETP) in a simple graph. Both problems are NP-hard. The algorithm with the best approximation ratio known so far for these problems has ratio 3/2 + epsilon, a result that follows from a more general algorithm for set packing obtained by Hurkens and Schrijver [On the size of systems of sets every t of which have an SDR, with an application to the worst-case ratio of heuristics for packing problems, SIAM J. Discrete Math. 2(1) (1989) 68-72]. We present improvements on the approximation ratio for restricted cases of VTP and ETP that are known to be APX-hard: we give an approximation algorithm for VTP on graphs with maximum degree 4 with ratio slightly less than 1.2, and for ETP on graphs with maximum degree 5 with ratio 4/3. We also present an exact linear-time algorithm for VTP on the class of indifference graphs. (C) 2007 Elsevier B.V. All rights reserved.