The value of two-person zero-sum repeated games with incomplete information and uncertain duration

Fix a zero-sum repeated game Γ with incomplete information on both sides. It is known that the value of the infinitely repeated game Γ_∞ need not exist (Aumann and Maschler 1995). It is proved that any number between the minmax and the maxmin of Γ_∞ is the value of a long finitely repeated game Γ _n where players’ information about the uncertain number of repetitions n is asymmetric.     

Order-disorder transition in Na3Bi(PO4)2

Na₃Bi(PO₄)₂ exhibits several phase transitions at about 575, 820 and 905°C. The structure was determined at ambient temperature (α-form) and above the first transition (β-form). The α-form cell is monoclinic with a = 19.86(1), b = 5.353(6), c = 13.96(3) Å, β = 110.64(7)°, Z = 8, space group P2₁/ _c ; the structure was solved from 3769 independent reflections to an R value, calculated on intensities, of 0.069. The β-form cell is orthorhombic with a = 18.71(3), b = 7.18(2), c = 5.429(7) Å, Z = 4, space group Pnam; the structure was solved to an R value, calculated on structure factors, of 0.055 using intensities of 858 unique reflections measured on a single crystal at 650°C. Both structures are related to that of glaserite. At high temperature, one of the PO₄ tetrahedra is statistically disordered over two positions related by the m-mirror. Below the transition, ordering of this ion leads to a unit cell of lower symmetry. At the transition, two individuals grow on the two sides of the m-mirror which disappears; thus, at ambient temperature, the crystals are systematically twinned. Above the second transition, the unit cell is hexagonal.     

Lights Out on graphs

Mathematische Semesterberichte - We model the Lights Out game on general simple graphs in the framework of linear algebra over the field $$\mathbb{F}_{2}$$ . Based upon a version of the Fredholm...     

Effect of silver coating on electrochemical performance of 0.5Li2MnO3.0.5 LiMn1/3Ni1/3Co1/3O2 cathode material for lithium-ion batteries

Journal of Solid State Electrochemistry - In this work, a Li-rich layered 0.5Li2MnO3.0.5LiMn1/3Ni1/3Co1/3O2 (LMNCO) pristine cathode material synthesized with a glycine-nitrate combustion method is...     

Metal induced molecular nano-extraction

We have previously devised a “scorpion” like system which is composed of a zigzag (8,0) single walled carbon nanotube attached to a 20 ringed graphene sheet by a glycine dimer species. Theoretical density functional theory calculations on a potential mechanism driven by a metal induced charge transfer process has been proposed for the extraction of molecules from nanotubes.     

[80]Fullerene–amino acid interactions: Theoretical insights

This work reports the interactions of a C₈₀ fullerene species with the 20 naturally occurring amino acids. As a result of the analysis of multiple configurations, we have determined that the most stable C₈₀ complexes form with thiol containing amino acids. The stabilities of the resulting complexes have been classified according to biochemical classifications that are used to develop trends among the calculated data. The computed trends in the dissociation energies are related to the backbone structure of the corresponding amino acids. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2010