The two purposes of this essay. general philosophical problem with most versions social libertarianism and how essay will proceed. specific liberty explained by a thought-experiment. positive abstract theory interpersonal liberty-in-itself as ‘the absence initiated constraints on want-satisfaction’, for short ‘no imposed costs’. individualistic liberty-maximisation solves the problems clashes, ...

This is the second paper of a series (started by [3]) which describes a conjectural analog of the affine Grassmannian for affine Kac-Moody groups (also known as the double affine Grassmannian). The current paper is dedicated to describing a conjectural analog of the convolution diagram for the double affine Grassmannian. In the case when G = SL(n) our conjectures can be derived from [12].

Making the weak assumption that the left-hand side of this equation is downward sloping, there will be a unique Y that solves this equation, which depends only on the sum of the marginal costs, not on their distribution across the firms. The observation that output and price in a Cournot industry is independent of the distribution of marginal costs has undoubtably been noted and used several ti...

The problem of opportunistic spectrum access in cognitive radio networks (CRNs) is considered in this paper. Especially, we discuss designing distributed learning protocols for non-cooperative secondary users (SUs) to efficiently utilize the spectrum opportunities. It is well known that the SUs’ selfish behaviors will result in a network collapse. Each SU is thus enabled to form conjectures ove...

We study the mirror symmetry on singular locus of Hitchin system at two levels. First, by covering it (supports of) (BBB)-branes, corresponding to Higgs bundles reducing their structure group Levi subgroup some parabolic P, whose conjectural dual (BAA)-branes we describe. Heuristically speaking, latter are given unipotent radical P. Second, when P is a Borel subgroup, able construct family hype...

The methods proposed in the new empirical industrial organization (NEIO) literature have made significant contributions to our understanding of competitive behavior. However, these methods have yet to be compared with each other for their performance in explaining and diagnosing competitive market conduct. This inter-method comparison is important because conclusions about competitive behavior ...

1991 Mathematics subject classi cation: 11R11, 11D09 We study the density of the set of real quadratic fields for which the norm of the fundamental unit equals 1 inside the set of real quadratic fields containing elements of norm 1. A conjectural density is derived from a single heuristic assumption, and experimental data supporting this assumption are given. We finally discuss how close one ca...