Congestion Games with Complementarities

We study a model of selfish resource allocation that seeks to incorporate dependencies among resources as they exist in modern networked environments. Our model is inspired by utility functions with constant elasticity of substitution (CES) which is a well-studied model in economics. We consider congestion games with different aggregation functions. In particular, we study $L_p$ norms and analyze the existence and complexity of (approximate) pure Nash equilibria. Additionally, we give an almost tight characterization based on monotonicity properties to describe the set of aggregation functions that guarantee the existence of pure Nash equilibria.Comment: The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-57586-5_1

Acyclicity of improvements in finite game forms

Improvement dynamics, Game form, Perfect information, Potential game, Voting by veto, C72,

Congestion games revisited

Nash equilibrium existence, Potential game, Congestion game, Additive aggregation,

Controlled Halogen-Bond-Involving Assembly of Double-sigma-Hole-Donating Diaryliodonium Cations and Ditopic Arene Sulfonates

The supramolecular dimensionality of halogen bonded architectures formed in the solid state by diaryliodonium salts is greater when the anion is a disulfonate rather than a monosulfonate. Specifically, diaryliodonium cations conventionally function as double-sigma-hole halogen bond (XB) donors and form 0D-heterotetrameric motifs when paired with monosulfonate anions. Here it is reported that when 1,5- and 2,6-naphthalenedisulfonate anions are used as ditopic XB acceptors, their assemblies with diaryliodonium cations provide architectures of higher dimensionality. 1,5-Naphthalenedisulfonate leads to the occurrence of 1D chains, while the longer and less sterically encumbered 2,6-naphthalenedisulfonate produces either 1D chains or 2D layers. The two-center I center dot center dot center dot OSO supramolecular synthon is observed most frequently, and the three-center I center dot center dot center dot OSO linkage was identified in some assemblies based on 2,6-naphthalenedisulfonate

Benzothienoiodolium Cations Doubly Bonded to Anions via Halogen-Chalcogen and Halogen-Hydrogen Supramolecular Synthons

The simultaneous binding of a molecular entity through two interactions is a frequently pursued recognition mode due to the advantages it offers in securing molecular self-assembly. Here, we report how the planarity of the benzothienoiodolium (BTI) cation allows for preorganizing in the cation plane the hydrogen, halogen, and chalcogen bonds (HBs, XBs, and ChBs, respectively) formed by the phenyl hydrogen, iodolium iodine, and thienyl sulfur. Crystallographic analyses of some BTI salts show how this interaction coplanarity enables their coupling to point toward a single anion that is coordinated via the supramolecular and heteroditopic synthon XB/HB or XB/ChB, the latter observed here for the first time. These synthons adopt a Janus-like arrangement around iodine. Crystallographic information suggests that interactions of the synthons act synergistically, e.g., when resulting in the unusually short ChBs formed by the thienyl sulfur. Determination of the molecular electrostatic potential, Bader's quantum theory of "atoms-in-molecules" analysis, and natural bond orbital investigations give information on the nature and energetic aspects of the short contacts observed in crystals