We show that feasible elimination procedures (Peleg, 1978) can be used to select k from m alternatives. An important advantage of this method is the core property: no coalition can guarantee an outcome that is preferred by all its members. We also show that the problem of determining whether a specific k-tuple can result from a feasible elimination procedure is computationally equivalent to the...

This paper analyze Nash’s equilibrium (maximum utilility MU) and its relation with the order state (minimum entropy ME). I introduce the concept of minimum entropy as a paradigm of both Nash-Hayek’s equilibrium. The ME concept is related to Quantum Games. One question arises after completing this exercise: What do the Quantum Mechanics postulates indicate about Game Theory and Economics? Journa...

Molecular exciton effects in the neutral and maximally doped C60 (C70) are considered using a tight binding model with long-range Coulomb interactions and bond disorder. By comparing calculated and observed optical spectra, we conclude that relevant Coulomb parameters for the doped cases are about half of those of the neutral systems. The broadening of absorption peaks is well simulated by the ...

We present a model of communication network formation in which links’ strengths are endogenously determined by individual incentives. Agents are endowed with a fixed amount of resource which they can distribute as they want in directed links. Individuals capture benefits from both direct and indirect access to others, in a way that takes into account the strength of each link. The wheel archite...

In a 2007 paper, “A global game with strategic substitutes and complements”, by Karp, L., I.H. Lee, and R. Mason, Games and Economic Behavior, 60(1), 155-175, an argument is made to show existence of Bayesian-Nash equilibrim in global games that may include both strategic substitutes and complements. This note documents a gap in the proof of that statement and presents an alternative proof for ...

We provide existence results in a game with local spillovers where the payoff function satisfies both convexity and the strategic substitutes property. We show that there always exists a stable pairwise network in this game, and provide a condition which ensures the existence of pairwise equilibrium networks. Moreover, our existence proof allows us to characterize a pairwise equilibrium of thes...

Single photon ionization of C60 in 2,2-dimethylpropane (neopentane, NP), 2,2,4,4-tetramethylpentane (TMP), 2,2-dimethylbutane (neohexane, DMB), and 2,2,4-trimethylpentane (isooctane, isoOCT), and of C70 in TMP was studied by photoconductivity measurement. Threshold energies of the photoconductivity were determined. From these results, the polarization energies and the ionic radii of the cations...

The one-state machine that always defects is the only evolutionarily stable strategy in the machine game that is derived from the prisoners’ dilemma, when preferences are lexicographic in complexity. This machine is the only stochastically stable strategy of the machine game when players are restricted to choosing machines with a uniformly bounded complexity. Journal of Economic Literature Clas...

We provide existence results in a game with local spillovers where the payoff function satisfies both convexity and the strategic substitutes property. We show that there always exists a stable pairwise network in this game, and provide a condition which ensures the existence of pairwise equilibrium networks. Moreover, our existence proof allows us to characterize a pairwise equilibrium of thes...