Core Equivalence in Economy under Generalized Information

We investigate a pure exchange atomless economy under uncertainty with emphasis on an epistemic point of view, where the traders are assumed to have a non-partitional information structure. We propose a generalized notion of rational expectations equilibrium for the economy and we show the core equivalence theorem: The ex-post core for the economy coincides with the set of all its rational expectations equilibria.Pure exchange economy under refexive information structure, Ex-post core, Rational expectations equilibrium, Core equivalence theorem

No Speculation in Rational Expectations under Generalized Information

Let us consider a pure exchange economy under non-partitional information where the traders are assumed to have a reflexive and transitive information structure and to have strictly monotone preferences. We show the no speculation theorem: If the initial endowment is ex-ante Pareto optimal then there exists no other rational expectations equilibrium for any price with respect to which all traders are rational about expectations everywhere.Pure exchange economy with knowledge, No speculation, Rational expectations equilibrium, Ex-ante Pareto optimum

An extrusion method of tube with spiral inner fins by utilizing generation of spiral outer fins/grooves

This paper presents a new extrusion method for fabrication of a tube with spiral inner fins. The spiral fins are formed by utilizing the generation of spiral outer fins or grooves, which drive the metal to circumferentially move with twist deformation. The effect of the outer fins/grooves is examined for realizing the circumferential metal flow. The position of the mandrel has an ability to flexibly control the spiral angle. This method would drastically enhance the productivity and reduce the manufacturing cost, as the tube would be manufactured directly from a billet through only one process

Organopalladium catalyst on S-terminated GaAs(001)-(2×6) surface

Organopalladium molecules, such as Pd(CH3COO)2 ({Pd}), immobilized on the S-terminated GaAs(001), termed GaAs–S–{Pd} have high catalytic activity and cycle durability in the Mizoroki–Heck reaction. It is thought that the presence of Ga–S bonds in the single atomic layer S-termination is essential for these catalytic properties despite the much higher thickness (~100 nm) of the {Pd} films. In this study, the authors demonstrate the retention of Ga–S bonds in ultrathin GaAs–S–{Pd} by using reflection high-energy electron diffraction and scanning tunneling microscopy (STM). The ultrathin GaAs–S–{Pd} was prepared by using a vapor-deposition technique. Deposited {Pd} was observed as ~1 nm dotlike structures with STM. The adsorption rate of {Pd} was also investigated

Rational Expectation Can Preclude Trades

We consider a pure exchange economy under uncertainty in which the traders have the non-partition structure of information. They willing to trade the amounts of state-contingent commodities and they know their own expectations. Common knowledge of these conditions among all the traders can preclude trade if the initial endowments allocation is ex-ante Pareto optimal. Furthermore we introduce rational expectations equilibrium under the non-partition information, and prove the existence theorem and the fundamental theorems of welfare economics.Economy with knowledge, Rational expectations equilibrium, No trade theorem, Ex-ante Pareto optimum, Common-knowledge

On the Systematic Errors of Cosmological-Scale Gravity Tests using Redshift Space Distortion: Non-linear Effects and the Halo Bias

Redshift space distortion (RSD) observed in galaxy redshift surveys is a powerful tool to test gravity theories on cosmological scales, but the systematic uncertainties must carefully be examined for future surveys with large statistics. Here we employ various analytic models of RSD and estimate the systematic errors on measurements of the structure growth-rate parameter, $f\sigma_8$, induced by non-linear effects and the halo bias with respect to the dark matter distribution, by using halo catalogues from 40 realisations of $3.4 \times 10^8$ comoving $h^{-3}$Mpc$^3$ cosmological N-body simulations. We consider hypothetical redshift surveys at redshifts z=0.5, 1.35 and 2, and different minimum halo mass thresholds in the range of $5.0 \times 10^{11}$ -- $2.0 \times 10^{13} h^{-1} M_\odot$. We find that the systematic error of $f\sigma_8$ is greatly reduced to ~5 per cent level, when a recently proposed analytical formula of RSD that takes into account the higher-order coupling between the density and velocity fields is adopted, with a scale-dependent parametric bias model. Dependence of the systematic error on the halo mass, the redshift, and the maximum wavenumber used in the analysis is discussed. We also find that the Wilson-Hilferty transformation is useful to improve the accuracy of likelihood analysis when only a small number of modes are available in power spectrum measurements.Comment: 10 pages, 8 figures, 1 table, accepted for publication in MNRA