Monogamy of Einstein-Podolsky-Rosen steering in the background of an asymptotically flat black hole

We study the behavior of monogamy deficit and monogamy asymmetry for Einstein-Podolsky-Rosen steering of Gaussian states under the influence of the Hawking effect. We demonstrate that the monogamy of quantum steering shows an extreme scenario in the curved spacetime: the first part of a tripartite system cannot individually steer two other parties, but it can steer the collectivity of the remaining two parties. We also find that the monogamy deficit of Gaussian steering, a quantifier of genuine tripartite steering, are generated due to the influence of the Hawking thermal bath. Our results elucidate the structure of quantum steering in tripartite quantum systems in curved spacetime.Comment: 16 pages, 4 figure

Text Generation Based on Generative Adversarial Nets with Latent Variable

In this paper, we propose a model using generative adversarial net (GAN) to generate realistic text. Instead of using standard GAN, we combine variational autoencoder (VAE) with generative adversarial net. The use of high-level latent random variables is helpful to learn the data distribution and solve the problem that generative adversarial net always emits the similar data. We propose the VGAN model where the generative model is composed of recurrent neural network and VAE. The discriminative model is a convolutional neural network. We train the model via policy gradient. We apply the proposed model to the task of text generation and compare it to other recent neural network based models, such as recurrent neural network language model and SeqGAN. We evaluate the performance of the model by calculating negative log-likelihood and the BLEU score. We conduct experiments on three benchmark datasets, and results show that our model outperforms other previous models

On the efficiency of monetary and fiscal policy in open economies

This paper investigates the efficiency of monetary and fiscal policy in a two-country general equilibrium model with monopolistic competition and wage stickiness. When monopoly distortions are completely eliminated, we find that stochastic government spending can affect the efficiency of the global monetary policy that replicates the real allocation under flexible wages. When the stochastic government spending is present, we find that the monopoly distortions can also affect the efficiency of the global monetary policy that replicates the real allocation under flexible wages. The combination of proportional subsidy policies used to completely eliminate monopoly distortions and the monetary policy replicating the real allocation under flexible wages can be improved after we introduce the stochastic government spending. Fiscal policy is found to be unable to replicate the real allocation under flexible wages.New open-economy macroeconomics, Efficiency of global monetary policy, Stochastic government spending, Monopoly distortions

International Macroeconomic Policy: When Wealth Affects People's Impatience

Under a modified neo-classical framework, this paper reexamined the effect of international macroeconomic policies by rejecting the routine assumption of a constant rate of time preference. In the model presented here, we suppose the holdings of real financial wealth will affect people's impatience which has far-reaching implications towards various core issues in international macroeconomics. The introducing of wealth into instantaneous discounting function yields intriguing dynamics of consumption, real balances, and foreign bond holdings. One interesting feature of our model is that stationary rate of time preference no longer necessarily equals real interest rate. We also find that central bank's foreign exchange intervention is not super-neutral even if households capitalize all transfers from the government, which contradicts Obstfeld(1981) in that the distribution of the economy¡¯s claims on the rest of the world between the public and the central bank is relevant to the economic performance. The monetary policy affects the real factors, but how the economy behaves in the long run and in the short run differs a lot from Uzawa(1968) and Obstfeld(1981).international macroeconomic policy, impatience, foreign exchange, monetary policy

Inflation Aversion and the Optimal Inflation Tax

The optimal inflation tax is reexamined in the framework of dynamic second best economy populated by individuals with inflation aversion. A simple formula for the optimal inflation rate is derived. Different from the literature, it is shown that if the marginal excess burden of other distorting taxes approaches zero, Friedman's rule for optimum quantity of money is not optimal, and the optimal inflation tax is negative; if the marginal excess burden of other taxes is nonzero, the optimal inflation rate is indeterminate and relies on the tradeoffs between the impatience effect of inflation and the effects of other economic forces in the monetary economy.Inflation aversion, Optimal inflation tax, Second best taxation, The friedman rule

Multiple Equilibria and Indeterminacy in an Optimal Growth Model with Endogenous Capital Depreciation

This paper extends an otherwise standard one-sector neoclassical growth model by postulating that the depreciation rate of physical capital depends on the agent's efforts on maintenance and repairs. Specifically, we introduce endogenous depreciation into the standard optimal growth model via two different mechanisms and examine the steady state and the dynamics of the model economy qualitatively and quantitatively. We find that with plausibel parameter values, multiple equilibria and indeterminacy can arise in simply modified optimal growth model.Multiple Equilibria, Indeterminacy, Endogenous Depreciation