In this paper, we introduce a dynamic allocation investment mechanism into the spatial public goods game. In the model, if a cooperator i collects more payoffs from one group centered on the player j in the last round, he will put more investments to the group in the next round. The intensity of...

In this paper, we study a weighted self-propelled agent system, wherein each agent’s direction is affected by its spatial neighbors with different impacts. In the model, a tunable parameter α≥0 is introduced to weight the different impacts of spatial neighbors: if α=0, the agent’s...

In real systems, generous individuals who prefer to contribute can play more important roles on the public than selfish individuals. Inspired by this, a spatial public goods game with weighted and conditional strategies is proposed in this paper. In our model, a player’s contribution behavior...

In this paper, we bring an unequal payoff allocation mechanism into evolutionary public goods game on scale-free networks and focus on the cooperative behavior of the system. The unequal mechanism can be tuned by one parameter α: if α0, the hub nodes can use its degree advantage to collect...

In this paper, we examine the economic implications of demographic age structure in the context of regional development in China. We extend the development accounting framework by incorporating age structure and apply it to a panel data set of 28 Chinese provinces. We find that changes in age...

In this work, we discuss the rate of convergence of one-dimensional random walks in a random environment. Using the hitting time decomposition, we prove that the speed of escape of random walks satisfies the quenched law of the iterated logarithm in a standard way.

This paper mainly discusses the asymptotic properties of multi-casting autoregressive processes. By using the m-dependence of random vectors, we prove that the least squares (LS) estimator of the unknown parameters satisfies the moderate deviation principle. Two examples of regular cases are...