Strategic Trade Policy with Polynomial Costs

 We investigate how the superiority of the optimal subsidy or tariff in an international Cournot oligopoly depends on the production technology used in the industry, an interesting issue that has not been analyzed in the literature. We establish that the welfare superiority of the optimal subsidy or tariff depends on the relative steepness of the firms' common marginal cost curve: when it is relatively steep, tariffs are superior to subsidies in enhancing domestic welfare, and vice versa. When both instruments are used simultaneously, the tariff component becomes more important as the marginal cost curve steepens.

Relic density and CMB constraints on dark matter annihilation with Sommerfeld enhancement

We calculate how the relic density of dark matter particles is altered when their annihilation is enhanced by the Sommerfeld mechanism due to a Yukawa interaction between the annihilating particles. Maintaining a dark matter abundance consistent with current observational bounds requires the normalization of the s-wave annihilation cross section to be decreased compared to a model without enhancement. The level of suppression depends on the specific parameters of the particle model, with the kinetic decoupling temperature having the most effect. We find that the cross section can be reduced by as much as an order of magnitude for extreme cases. We also compute the mu-type distortion of the CMB energy spectrum caused by energy injection from such Sommerfeld-enhanced annihilation. Our results indicate that in the vicinity of resonances, associated with bound states, distortions can be large enough to be excluded by the upper limit |mu|<9.0x10^(-5) found by the COBE/FIRAS experiment.Comment: 10 pages, 6 figures, accepted for publication in Physical Review D. Corrections to eqs. 9,10,14 and 16. Figures updated accordingly. No major changes to previous results. Website with online tools for Sommerfeld-related calculations can be found at http://www.mpa-garching.mpg.de/~vogelsma/sommerfeld

Government policy should be based on respect and responsiveness rather than statistics

There are significant problems with statistics-based policy, argues Mark D. White. He writes that governments should eschew the use of output or well-being statistics and instead focus on respect and responsiveness. This would mean encouraging the ability and right of individuals to make choices in their own interests and responding to the needs and concerns of the people as expressed by the people

Probing small xx parton densities in ultraperipheral AAAA and pApA collisions at the LHC

We calculate production rates for several hard processes in ultraperipheral proton-nucleus and nucleus-nucleus collisions at the LHC. The resulting high rates demonstrate that some key directions in small $x$ research proposed for HERA will be accessible at the LHC through these ultraperipheral processes. Indeed, these measurements can extend the HERA $x$ range by roughly a factor of 10 for similar virtualities. Nonlinear effects on the parton densities will thus be significantly more important in these collisions than at HERA.Comment: Submitted to Phys. Rev. Lett., 4 pages, 5 figure

Basing government policy on happiness or well-being is misguided

Regardless of the motivation and intention behind it, the move to base government policy on measures of happiness is fraught with problems at every level, argues Mark D. White. Reorienting policy towards happiness suffers from problems of definition, measurement, and implementation

Web matrices : structural properties and generating combinatorial identities

In this paper we present new results for the combinatorics of web diagrams and web worlds. These are discrete objects that arise in the physics of calculating scattering amplitudes in non-abelian gauge theories. Web-colouring and web-mixing matrices (collectively known as web matrices) are indexed by ordered pairs of web-diagrams and contain information relating the number of colourings of the first web diagram that will produce the second diagram. We introduce the black diamond product on power series and show how it determines the web-colouring matrix of disjoint web worlds. Furthermore, we show that combining known physical results with the black diamond product gives a new technique for generating combinatorial identities. Due to the complicated action of the product on power series, the resulting identities appear highly non-trivial. We present two results to explain repeated entries that appear in the web matrices. The first of these shows how diagonal web matrix entries will be the same if the comparability graphs of their associated decomposition posets are the same. The second result concerns general repeated entries in conjunction with a flipping operation on web diagrams. We present a combinatorial proof of idempotency of the web-mixing matrices, previously established using physical arguments only. We also show how the entries of the square of the web-colouring matrix can be achieved by a linear transformation that maps the standard basis for formal power series in one variable to a sequence of polynomials. We look at one parameterized web world that is related to indecomposable permutations and show how determining the web-colouring matrix entries in this case is equivalent to a combinatorics on words problem

Book review: valuing life: humanizing the regulatory state by Cass Sunstein

In Valuing Life, Cass Sunstein surveys a wide range of practical research and real-life policymaking in his characteristically lucid style, offering a candid and humble account of his administrative tenure in Washington. He performs an invaluable service in revealing how government regulators balance pragmatic concerns of resource scarcity with principled ideals of respect and dignity, writes Mark D. White

The Multi-Component Nature of the Vela Pulsar Nonthermal X-ray Spectrum

We report on our analysis of a 274 ks observation of the Vela pulsar with the Rossi X-Ray Timing Explorer (RXTE). The double-peaked, pulsed emission at 2 - 30 keV, which we had previously detected during a 93 ks observation, is confirmed with much improved statistics. There is now clear evidence, both in the spectrum and the light curve, that the emission in the RXTE band is a blend of two separate non-thermal components. The spectrum of the harder component connects smoothly with the OSSE, COMPTEL and EGRET spectrum and the peaks in the light curve are in phase coincidence with those of the high-energy light curve. The spectrum of the softer component is consistent with an extrapolation to the pulsed optical flux, and the second RXTE pulse is in phase coincidence with the second optical peak. In addition, we see a peak in the 2-8 keV RXTE pulse profile at the radio phase.Comment: 12 pages, 3 figures, accepted for publication in Astrophysical Journa