Semi-Infinite Assignment Problems and Related Games

In 1972 Shapley and Shubik introduced assignment games associated to finite assignment problems in which two types of agents were involved and they proved that these games have a non-empty core. In this paper we look at the situation where the set of one type is infinite and investigatewhen the core of the associated game is non-empty. Two infinite programming problems arise here, which we tackle with the aid of finite approximations. We prove that there is no duality gap and we show that the core of the corresponding game is non-empty. Finally, the existence of optimal assignments is discussed.Infinite programs;assignment;cooperative games;balancedness

Games Arising from Infinite Production Situations

AMS classifications: 90D12, 90C05.linear semi-infinite programs;linear transformation;cooperative games;balancedness

Confirmation of the 62 Day X-Ray Periodicity from M82

Using 400 days of new X-ray monitoring of M82, we confirm the 62 day periodicity previously reported. In the full data set spanning 1124 days, we find a period of 62.0 +/- 0.3 days and a coherence, Q = 22.3, that is consistent with a strictly periodic signal. We estimate that the probability of chance occurrence of our observed signal is 6E-7. The light curve folded at this period is roughly sinusoidal and has a peak to peak amplitude of (0.99 +/- 0.10) x 10^-11 erg cm^-2 s^-1. Confirmation of the periodicity strengthens our previous suggestion that the 62 day modulation is due to orbital motion within an X-ray binary.Comment: 4 pages, to appear in Ap

The approximate f-core and the utopia payoff for infinite assignment games

Assignment problems where both sets of agents are countably infinite, the so-called infinite assignment problems, are studied as well as the related assignment games. Further, two solutions for these games are studied. The first one is the approximate f-core for games with a finite value. This particular solution takes into account that due to organisational limitations only finite groups of agents can protest against proposals of profit distributions. Second, we study the utopia payoff, the perfect proposal in which each agent receives the maximal amount he can get. \u

The Owen Set and the Core of Semi-Infinite Linear Production Situations

AMS classifications: 90D12, 90C05, 90C34.cooperative games;linear production;core;duality gap

On the Core of Semi-Infinite Transportation Games with Divisible Goods

AMS classifications: 90D12; 90C05; 90C34;cooperative games

Exact numerical simulation of power-law noises

Many simulations of stochastic processes require colored noises: I describe here an exact numerical method to simulate power-law noises: the method can be extended to more general colored noises, and is exact for all time steps, even when they are unevenly spaced (as may often happen for astronomical data, see e.g. N. R. Lomb, Astrophys. Space Sci. {\bf 39}, 447 (1976)). The algorithm has a well-behaved computational complexity, it produces a nearly perfect Gaussian noise, and its computational efficiency depends on the required degree of noise Gaussianity.Comment: 14 postscript figures, accepted for publication on Phys. Rev.

La literatura como ilegalidad en revistas cubanas: delito, Estado y derecho en Diáspora(s) y Cacharro(s)

Modern and Contemporary Studie

El presente incómodo: subjetividad en crisis y novelas cubanas después del muro

Este libro pretende entender las transiciones y negociaciones culturales entre arte y política -de 1989 a 2020- a través del análisis de una serie de novelas cubanas. La caída del muro de Berlín tuvo un enorme peso simbólico en el mundo, quizás, tanto como la misma Revolución en su día. Las últimas tres décadas –entre la soviética y la postpandémica– podrían pensarse como un entrelugar en la isla, un afuera del tiempo o un presente incómodo de difícil representación, sobre todo si las leemos desde las dos grandes ideologías en juego. A nivel simbólico, estaríamos hablando de una crisis crónica de características particulares, una que se ha hecho evidente en la novelística a partir de la relación entre sujeto y vivencia. Timmer analiza el malestar del sujeto como síntoma de lo social escapando a los binomios de la Guerra Fría y aborda el presente cubano a través de las múltiples subjetividades e imaginarios de su producción cultural, de su literatura.Modern and Contemporary Studie