Conceptualising cosmopolitanism and entrepreneurship through the lens of the three-dimensional theory of power

Purpose – The paper aims to conceptualise cosmopolitanism drivers from the third-level power perspective by drawing on Lukes’ (1974; 2005) theory of power. In addition, the paper aims to investigate the relationship between entrepreneurs’ cosmopolitan dispositions and habitus, i.e. a pattern of an individual’s demeanour, as understood by Bourdieu. Design/methodology/approach – This conceptual paper makes use of Bourdieu’s framework (habitus) by extending it to the urban cosmopolitan environment and linking habitus to the three-dimensional theory of power and, importantly, to the power’s third dimension – preference-shaping. Findings – Once cosmopolitanism is embedded in the urban area’s values, this creates multiple endless rounds of mutual influence (by power holders onto entrepreneurs via political and business elites, and by entrepreneurs onto power holders via the same channels), with mutual benefit. Therefore, mutually beneficial influence that transpires in continuous support of a cosmopolitan city’s environment may be viewed as one of the factors that enhances cosmopolitan cities’ resilience to changes in macroeconomic conditions. Originality/value – The paper offers a theoretical model that enriches the understanding of the power-cosmopolitanism-entrepreneurship link, by emphasising the preference-shaping capacity of power, which leads to the embedment of cosmopolitanism in societal values. As a value shared by political and business elites, cosmopolitanism is also actively promoted by entrepreneurs through their disposition and habitus. This ensures not only their willing compliance with power and the environment, but also their enhancement of favourable business conditions. Entrepreneurs depart from mere acquiescence (to power and its explicit dominance), and instead practice their cosmopolitan influence by active preference-shaping.

Asymptotic and structural properties of special cases of the Wright function arising in probability theory

This analysis paper presents previously unknown properties of some special cases of the Wright function whose consideration is necessitated by our work on probability theory and the theory of stochastic processes. Specifically, we establish new asymptotic properties of the particular Wright function 1Ψ1(ρ, k; ρ, 0; x) = X∞ n=0 Γ(k + ρn) Γ(ρn) x n n! (|x| < ∞) when the parameter ρ ∈ (−1, 0)∪(0, ∞) and the argument x is real. In the probability theory applications, which are focused on studies of the Poisson-Tweedie mixtures, the parameter k is a non-negative integer. Several representations involving well-known special functions are given for certain particular values of ρ. The asymptotics of 1Ψ1(ρ, k; ρ, 0; x) are obtained under numerous assumptions on the behavior of the arguments k and x when the parameter ρ is both positive and negative. We also provide some integral representations and structural properties involving the ‘reduced’ Wright function 0Ψ1(−−; ρ, 0; x) with ρ ∈ (−1, 0) ∪ (0, ∞), which might be useful for the derivation of new properties of members of the power-variance family of distributions. Some of these imply a reflection principle that connects the functions 0Ψ1(−−;±ρ, 0; ·) and certain Bessel functions. Several asymptotic relationships for both particular cases of this function are also given. A few of these follow under additional constraints from probability theory results which, although previously available, were unknown to analysts.