Mixed Oligopoly and Productivity-Improving Mergers

This paper investigates productivity improving merger activities between a public firm and a private firm in mixed oligopoly. We assume that the merged firm has two plants (formerly, firms). We show that both owners of a public firm and a private firm want to merge by coordinating their shareholding ratios in the merged firm, whenever the number of private firms is larger than a critical value, while the public firm does not want to merge without the effect of improving the productivity of the merged firm.mixed oligopoly

Endogenous Timing in a Mixed Duopoly: The Managerial Delegation Case

We introduce managerial delegation into Pal's (1998) model and examine the impact of the introduction of managerial delegation on endogenous timing in a mixed duopolistic model for differentiated goods. We show that a public firm and a private firm choose quantities sequentially in the equilibrium of our model. Thus, we find that the Pal''s (1998) results are robust against managerial delegation.Endogenous Timing

Stratified Ehrhart ring theory on periodic graphs

We investigate the "stratified Ehrhart ring theory" for periodic graphs, which gives an algorithm for determining the growth sequences of periodic graphs. The growth sequence $(s_{\Gamma, x_0, i})_{i \ge 0}$ is defined for a graph $\Gamma$ and its fixed vertex $x_0$, where $s_{\Gamma, x_0, i}$ is defined as the number of vertices of $\Gamma$ at distance $i$ from $x_0$. Although the sequences $(s_{\Gamma, x_0, i})_{i \ge 0}$ for periodic graphs are known to be of quasi-polynomial type, their determination had not been established, even in dimension two. Our algorithm and the proofs are based on algebraic combinatorics, analogous to the Ehrhart theory. As an application of the algorithm, we determine the growth sequences in several new examples.Comment: 46 pages. arXiv admin note: text overlap with arXiv:2305.0817

"Dehydrated" chondrules from the Murchison (CM) chondrite

Two "dehydrated" chondrules (MC-5 and MC-27) were obtained from close to the fusion crust of the Murchison (CM) meteorite. They have a porphyritic texture with angular or rounded (relict) olivines containing abundant voids, recrystallized olivines, and numerous interstitial Fe oxide grains embedded in groundmass glass. This peculiar texture is similar to that of the fusion crust from the Orgueil (CI) chondrite, indicating that the texture formed during the reheating at the atmospheric entry of the meteorite. Isotope dilution analyses indicate that these chondrules have light-REE depleted pattern with a large negative Eu anomaly (CI normalized Sm/La ratio=1.3-2.4,Eu/Eu^*=0.40-0.57). They also show relatively low Ba and Sr (0.4-1.0×CI) concentrations and depletion of alkalies (0.2-0.4×CI). The lithophile element abundances of the two chondrules are in a similar range of those for other altered CM chondrules in the Murchison and the Yamato-793321 chondrites. It is suggested that the chemical compositions of chondrules, specifically REE and alkali abundances, remained unchanged but significant changes of petrographic texture occurred during atmospheric heating

Low temperature metallic state induced by electrostatic carrier doping of SrTiO3_3

Transport properties of SrTiO$_3$-channel field-effect transistors with parylene organic gate insulator have been investigated. By applying gate voltage, the sheet resistance falls below $R_{\Box}$ $\sim$ 10 k$\Omega$ at low temperatures, with carrier mobility exceeding 1000 cm$^2$/Vs. The temperature dependence of the sheet resistance taken under constant gate voltage exhibits metallic behavior ($dR$/$dT$ $>$ 0). Our results demonstrate an insulator to metal transition in SrTiO$_3$ driven by electrostatic carrier density control.Comment: 3 pages, 4 figure