Some solutions to the equity premium and volatility puzzles

In this paper, I adopt an economic equilibrium model utilizing the framework introduced by Mehra and Prescott (1985) when they presented the equity premium puzzle. This model, in the long run and with respect to stationary probabilities, produces results that match the sample values derived from the U.S. economy between 1889 and 1978 as illustrated by the studies performed by Grossman and Shiller (1981), which includes the expected average, standard deviation, and first-order serial correlation of the growth rate of per capita real consumption and the expected returns and standard deviation of equity, risk-free security, and risk premium for equity. Therefore, this model solves the equity premium and volatility puzzles. I also explore the reasons why the equity premium puzzle was caused.The constant relative risk aversion class utility function; risk premium; time discount factor; parameters defining preferences; parameters defining technologies; the equity premium and volatility puzzles.

Infinitely Split Nash Equilibrium Problems in Repeated Games

In this paper, we introduce the concept of infinitely split Nash equilibrium in repeated games in which the profile sets are chain-complete posets. Then by using a fixed point theorem on posets in [8], we prove an existence theorem. As an application, we study the repeated extended Bertrant duopoly model of price competition