Robust Stackelberg Equilibria in Extensive-Form Games and Extension to Limited Lookahead

Stackelberg equilibria have become increasingly important as a solution concept in computational game theory, largely inspired by practical problems such as security settings. In practice, however, there is typically uncertainty regarding the model about the opponent. This paper is, to our knowledge, the first to investigate Stackelberg equilibria under uncertainty in extensive-form games, one of the broadest classes of game. We introduce robust Stackelberg equilibria, where the uncertainty is about the opponent's payoffs, as well as ones where the opponent has limited lookahead and the uncertainty is about the opponent's node evaluation function. We develop a new mixed-integer program for the deterministic limited-lookahead setting. We then extend the program to the robust setting for Stackelberg equilibrium under unlimited and under limited lookahead by the opponent. We show that for the specific case of interval uncertainty about the opponent's payoffs (or about the opponent's node evaluations in the case of limited lookahead), robust Stackelberg equilibria can be computed with a mixed-integer program that is of the same asymptotic size as that for the deterministic setting.Comment: Published at AAAI1

Hexafluorophosphate salts of cyclopentadienyliron(II) complexes of dibenzodioxin and 1-methyldibenzodioxin

Publisher's version/PDFThe structures of ([eta superscript 5]-cyclopentadienyl)[(1,2,3,4,4a,10a-[eta superscript 6])-dibenzo[b,e][1,4]dioxin]iron(II) hexafluorophosphate (1), [Fe(C[subscript 5]H[subscript 5])(C[subscript 12]H[subscript 8]O[subscript 2])]PF[subscript 6], and ([eta superscript 5]-cyclopentadienyl)[(1,2,3,4,4a,10a-[eta superscript 6])-1-methyldibenzo[b,e][1,4]dioxin]iron(II) hexafluorophosphate Et[subscript 2]O solvate (2), [Fe(C[subscript 5]H[subscript 5])(C[subscript 13]H[subscript 10]O[subscript 2])]PF[subscript 6].0.5C[subscript 4]H[subscript 10]O, were detd. The dihedral angle between the outer rings of dibenzodioxin is 175.8(2) in (1) and 177.55(19)° in (2). The planes of the coordinated arene and cyclopentadienyl (Cp) rings are nearly parallel for both complexes. The Fe atom is centered above the Cp ring while Fe-C distances involving the quaternary C atoms of the coordinated arene rings are slightly longer than those involving the other aromatic C atoms, particularly for complex (2). In the central dioxin ring of both complexes, O-C bonds of the coordinated ring are shorter than those of the uncoordinated ring

2,6-dibenzoyl-1,4-benzoquinone

Publisher's version/PDFIn contrast to the stacking characteristic of quinones, the title compound, C[subscript 20]H[subscript 12]O[subscript 4], forms a two-dimensional network of C--H...O hydrogen bonds. The molecule has an unsymmetrical butterfly shape with the two benzoyl O atoms lying out of the plane of the quinonoid ring. The unusual conformation is a result of the crystal packing and the numerous weak hydrogen bonds

Improving Biopharmaceutical Properties of Vinpocetine Through Cocrystallization

Vinpocetine is a poorly water soluble weakly basic drug (pKa \ubc 7.1) used for the treatment of several cerebrovascular and cognitive disorders. Because existing formulations exhibit poor bioavailability and scarce absorption, a dosage form with improved pharmacokinetic properties is highly desirable. Cocrystallization represents a promising approach to generate diverse novel crystal forms and to improve the aqueous solubility and in turn the oral bioavailability. In this article, a novel ionic cocrystal of vinpocetine is described, using boric acid as a coformer, and fully characterized (by means of differential scanning calorimetry, solid-state nuclear magnetic resonance, powder and singlecrystal X-ray diffraction, and powder dissolution test). Pharmacokinetic performance was also tested in a human pilot study. This pharmaceutical ionic cocrystal exhibits superior solubilization kinetics and modulates important pharmacokinetic values such as maximum concentration in plasma (Cmax), time to maximum concentration (tmax), and area under the plasma concentration-time curve (AUC) of the poorly soluble vinpocetine and it therefore offers an innovative approach to improve its bioavailability

A supramolecular carpet formed via self-assembly of bis(4,4'-dihydroxyphenyl) sulfone

Publisher's version/PDFBis(4,4'-dihydroxyphenyl) sulfone 1 exploits its tetrahedrally disposed complementary hydrogen bonding sites to generate a unique doubly interwoven molecular carpet architecture in the solid state

Pengaruh Sosialisasi Perpajakan, Pengetahuan Perpajakan, dan Kualitas Pelayanan terhadap Kepatuhan Wajib Pajak dengan Kesadaran Wajib Pajak sebagai Variabel Intervening (Studi pada Kantor Pelayanan Pajak Pratama Pekanbaru Senapelan)

The purpose of this research are to analyze the influence of taxpayer socialization, taxpayer knowledge, and quality of service to taxpayer compliance, directly or indirectly, by usingtaxpayer awareness as an intervening variable.The sample of this research from of 100 correspondences who are as taxpayers listed in KPP Pratama Pekanbaru Senapelan.The method of sampling using convenience sampling. The data were analysed using the path analysis with SPSS version 19.0. The results of the research showed that the tax socialization did have effect to the tax awareness. Secondly, the tax knowledge did have effect to the tax awareness. Third, quality of service did have effect to the tax awareness.Fourth, the tax socialization did have effect tothe tax compliance. Fifth, the tax knowledge did have effect tothe tax compliance. Sixth, quality of service did have noteffect tothe tax compliance. Seventh, the tax awareness did have effect tothe tax compliance. Eighth, the tax awareness incapable as an intervening variable tax socialization to tax compliance. Ninth, the tax awareness incapable as an intervening variable tax knowledge to tax compliance. Tenth, the tax awareness able as an intervening variable quality of service to tax compliance

Synthesis and structural characterization of cyclic aryl ethers

Publisher's version/PDFThe facile preparation of macrocyclic ethers is achieved using S[subscript N]Ar reactions of (dichlorobenzene)CpFe[superscript +) complexes with various dinucleophiles, followed by photolytic demetallation; X-ray crystallography gives unequivocal structural proof for one of these macrocycles

Consecutive single-crystal-to-single-crystal isomerization of novel octamolybdate anions within a microporous hybrid framework with robust water sorption properties

The 3D hybrid framework [{Cu(cyclam)}3(kMo8O27)]· 14H2O (1) (cyclam=1,4,8,11-tetraazacyclotetradecane) undergoes sequential single-crystal-to-singlecrystal transformations upon heating to afford two different anhydrous phases (2 a and 3a). These transitions modify the framework dimensionality and enable the isomerization of k-octamolybdate (k-Mo8) anions into λ (2 a) and μ (3 a) forms through metal migration. Hydration of 3 a involves condensation of one water molecule to the cluster to afford the γ-Mo8 isomer in 4, which dehydrates back into 3a through the 6a intermediate. In contrast, 2a reversibly hydrates to form 5, exhibiting the same Mo8 cluster as that of 1. It is remarkable that three of the Mo8 clusters (k, λ and μ) are new and that up to three different microporous phases can be isolated from 1 (2 a, 3a, and 6a). Water vapor sorption analyses show high recyclability and the highest uptake values for POM-based systems. The isotherms display an abrupt step at low humidity level desirable for humidity control devices or water harvesting in drylands.Funded by Eusko Jaurlaritza/Gobierno Vasco (EJ/GV, grants IT1722-22 and KK-2022/00045). E.R.B. thanks EJ/GV for her doctoral fellowship (PRE_2018_1_0143)

Trace CO2 capture by an ultramicroporous physisorbent with low water affinity.

CO2 accumulation in confined spaces represents an increasing environmental and health problem. Trace CO2 capture remains an unmet challenge because human health risks can occur at 1000 parts per million (ppm), a level that challenges current generations of chemisorbents (high energy footprint and slow kinetics) and physisorbents (poor selectivity for CO2, especially versus water vapor, and/or poor hydrolytic stability). Here, dynamic breakthrough gas experiments conducted upon the ultramicroporous material SIFSIX-18-Ni-β reveal trace (1000 to 10,000 ppm) CO2 removal from humid air. We attribute the performance of SIFSIX-18-Ni-β to two factors that are usually mutually exclusive: a new type of strong CO2 binding site and hydrophobicity similar to ZIF-8. SIFSIX-18-Ni-β also offers fast sorption kinetics to enable selective capture of CO2 over both N2 (S CN) and H2O (S CW), making it prototypal for a previously unknown class of physisorbents that exhibit effective trace CO2 capture under both dry and humid conditions