Profitability Study of MPAA Rated Movies

Concerned with the limited number of family oriented films currently produced each year and an increase in the number of films containing sex and violence, The Dove Foundation is interested in determining which films, by MPAA rating, produce the greatest profits as well as the highest rates of return on investment (ROI)

On a curious variant of the SnS_n-module LienLie_n

We introduce a variant of the much-studied $Lie$ representation of the symmetric group $S_n$, which we denote by $Lie_n^{(2)}.$ Our variant gives rise to a decomposition of the regular representation as a sum of {exterior} powers of modules $Lie_n^{(2)}.$ This is in contrast to the theorems of Poincar\'e-Birkhoff-Witt and Thrall which decompose the regular representation into a sum of symmetrised $Lie$ modules. We show that nearly every known property of $Lie_n$ has a counterpart for the module $Lie_n^{(2)},$ suggesting connections to the cohomology of configuration spaces via the character formulas of Sundaram and Welker, to the Eulerian idempotents of Gerstenhaber and Schack, and to the Hodge decomposition of the complex of injective words arising from Hochschild homology, due to Hanlon and Hersh.Comment: 26 pages, 2 tables. To appear in Algebraic Combinatorics. Parts of this paper are included in arXiv:1803.0936

The Impact of Trade Liberalization on Micro Enterprises: Do Banks Matter? Evidence from Indian Manufacturing

This paper looks at the impact of trade liberalization on output, factor intensity and labor productivity of micro enterprises with differential access to banks. It uses Indian data on micro enterprises employing fewer than ten workers in the manufacturing sector and finds that trade liberalization, measured by a fall in the tariff, is associated with higher enterprise output, capital-labor ratios and labor productivity in districts with a larger number of bank branches per capita. Evidence is consistent with strong complementarities between trade liberalization effects and better access to credit and greater economic dynamism due to greater bank presence in the enterprise’s location. In addition, the research points to greater likelihood of outsourcing of production activity to micro enterprises in more open industries. The study highlights the role of credit market institutions, labor regulation and linkages between micro enterprises and large firms in determining the effects of trade liberalization on developing country manufacturing.Trade Reform, Banks, Manufacturing, Informal Firms, Productivity, Outsourcing