Network Marketing on a Small-World Network

We investigate a dynamic model of network marketing in a small-world network structure artificially constructed similarly to the Watts-Strogatz network model. Different from the traditional marketing, consumers can also play the role of the manufacturer's selling agents in network marketing, which is stimulated by the referral fee the manufacturer offers. As the wiring probability $\alpha$ is increased from zero to unity, the network changes from the one-dimensional regular directed network to the star network where all but one player are connected to one consumer. The price $p$ of the product and the referral fee $r$ are used as free parameters to maximize the profit of the manufacturer. It is observed that at $\alpha=0$ the maximized profit is constant independent of the network size $N$ while at $\alpha \neq 0$, it increases linearly with $N$. This is in parallel to the small-world transition. It is also revealed that while the optimal value of $p$ stays at an almost constant level in a broad range of $\alpha$, that of $r$ is sensitive to a change in the network structure. The consumer surplus is also studied and discussed.Comment: 12 pages, to appear in Physica

Costly switching and investment volatility

This paper extends the literature on the optimal switching rule between two investments by considering the case where switching between investments is costly. The model builds on the classic framework of the multi-armed Bandit problem by explicitly incorporating two key assumptions. First, switching investments is costly. Second, only the investment operated by the investor evolves as a random walk. The objective of the investor is to maximize the discounted sum of expected net profits over the infinite horizon. The main result is that when the volatility of profits from investments increases, so does the minimum profit gain needed for an investor to switch investments. Copyright Springer-Verlag Berlin/Heidelberg 2005Switching cost, Optimal switching rule, Random walk, Volatility.,

Impulse response functions estimated for various pairs of moisture budget components in the pre-industrial

The dataset contains the results of impulse response functions estimated for various pairs of moisture budget components. The estimation is performed for the pre-industrial. STATA 15 is used for estimation.</p

Impulse response functions for the present (2006-2025) the future (2018-2100)

The dataset contains the results of impulse response functions estimated for various pairs of moisture budget components. The estimation is performed for the present (2006-2025) and the future (2018-2100). STATA 15 is used for estimation.</p

Neighborhood structure and the evolution of cooperation

Local interaction, Evolution, Cooperation, C72, D64,

A Note on Connectivity and Stability in Dynamic Network Formation

We consider the dynamic network formation problem under the requirement that the whole network be connected and remain connected after q nodes are destroyed. We propose the concept of dynamic Cq-stability and characterize dynamic Cq-stable networks for any q&ge;0. Comparison with the outcome in the static model is also discussed