An algebraic notion of representational consistency is defined. A theorem relating it to free actions is proved. A metrizability problem of the quotient (a shape space) is discussed. This leads to a new algebraic variety with a metrizability result. A concrete example is given from stereo vision.

With many semi-anonymous players, the equilibria of simultaneousmove games are extensively robust. This means that the equilibria survive even if the simultaneous-play assumption is relaxed to allow for a large variety of extensive modifications. Such modification include sequential play with partial and differential revelation of information, commitments and multiple revisions of choices, chea...

Sequences arise in many online and offline settings: urls to visit, songs to listen to, videos to watch, restaurants to dine at, and so on. User-generated sequences are tightly related to mechanisms of choice, where a user must select one from a finite set of alternatives. In this talk, we will discuss a class of problems arising from studying such sequences and the role discrete choice theory ...

An increasing body of theoretical and empirical work on discrete choice considers a choice design in which a person is asked to select both the best and the worst alternative in an available set of alternatives, in contrast to more traditional tasks such as where the person is asked to: select the best alternative; select the worst alternative; rank the alternatives. Here we consider voting sys...

Recall that hyperbolic 3-manifolds M and N are said to be commensurable if they have a common finite sheeted covering. This is equivalent to the fundamental groups having subgroups of finite index which are conjugate in PSL(2,C). In general it is very difficult to determine if two manifolds are commensurable or not, once the most obvious invariants of commensurability (for example, the invarian...

This paper establishes that every random utility discrete choice model (RUM) has a representation that can be characterized by a choice-probability generating function (CPGF) with speci c properties, and that every function with these speci c properties is consistent with a RUM. The choice probabilities from the RUM are obtained from the gradient of the CPGF. Mixtures of RUM are characterized b...

P research suggests that brand may influence consumer preference for differentiated products. However, the extant literature does not measure how brand value affects product similarity and consumer choice. This paper examines demand response to the proliferation of personal computers (PCs). Using both the central processing unit (CPU) and brand as segmentation variables, I construct a two-level...

annually, many women become pregnant worldwide; however, pregnancy and childbirth is not a pleasant event for all them. in fact, more than 90% of maternal anxiety could be related to the delivery process. it should be noted that delivery is also a stressful event that sometimes, due to different reasons and in order to avoid its potential hazards which could threaten the lives of mother and bab...

from any of the three federal Canadian funding agencies must be reviewed and approved in advance by a human research ethics board (REB). The Tri-Council Policy Statement: Ethical Conduct for Research Involving Humans (TCPS) requires that each institution be fully responsible for the ethics review of human research conducted under its auspices (Article 1.2). This provision has been interpreted t...