We consider competitive markets for multiple commodities with endogenous formation of one- or two-person households. Within each two-person household, externalities from the partner’s commodity consumption and unpriced actions are allowed. Each individual has two types of traits:...

The present paper examines zero-sum games that are based on a cyclic preference relation defined over anonymous actions. For each of these games, the set of Nash equilibria is characterized. When the number of actions is odd, a unique Nash equilibrium is always obtained. On the other hand, in...

First a non-cooperative model of network formation is investigated where link formation is one-sided and information flow is two-way. For that model, the relationship between different notions of efficient networks is studied: Pareto optimal networks on the one hand and welfare maximizing...

We present a variant of a general equilibrium model with group formation to study how changes of non-consumptive beneï¬ts from group formation impact on the well-being of group members. We identify a human relations paradox: Positive externalities increase, but none of the group members gains...

In a model of strategic network formation, the endogenously formed network is built around a pre-existing network. We envisage that the pre-existing or core network is publicly provided. Strategic network formation is decentralized: Players act in their private interest and bear the costs when...

The influence of fractal heterogeneity on a spiral wave in an excitable system is numerically studied based on the Barkley model. The heterogeneity is implemented by letting the diffusive coefficient in the heterogeneous area be different from the other area. The results show that fruitful...

It is well known that information is encoded in the frequency or amplitude of Ca2+ signal and then decoded by target protein. However, few models considered both the encoding and decoding procedures of Ca2+ signal. In this work, a minimal Li–Rinzel model is coupled with a...

The investigation of enzymatic reaction under stochastic effect and spatial effect is an interesting problem. By virtue of Monte Carlo simulation, the stochastic dynamic of enzyme and the related Michaelis–Menten mechanism with stochastic internal noise and spatial diffusion are explored in...

Based on a deterministic cell cycle model, the mesoscopic stochastic differential equations are theoretically derived from the biochemical reactions. The effects of the finite cell size on the cell cycle regulation in the wild type and wee1-cdc25Δ double mutant type are numerically studied by...

Credible Granger-causality analysis appears to require post-sample inference, as it is well-known that in-sample fit can be a poor guide to actual forecasting effectiveness. But post-sample model testing requires an often-consequential a priori partitioning of the data into an 'in-sample' period...