Nash equilibrium is widely present in various social disputes. As of now, in structured static populations, such as social networks, regular, and random graphs, the discussions on Nash equilibrium are quite limited. In a relatively stable static gaming network, a rational individual has to comprehensively consider all his/her opponents' strategies before they adopt a unified strategy. In this s...

There are many situations in which a customer’s proclivity to buy the product of any firm depends not only on the classical attributes of the product such as its price and quality, but also on who else is buying the same product. We model these situations as games in which firms compete for customers located in a “social network”. Nash Equilibrium (NE) in pure strategies exist in general. In th...

Coleman’s equilibrium model of social development, the Linear System of Action, is extended to cover the dynamics of societal transitions. The model implemented has the characteristics of a dissipative system. A variation and selection algorithm favoring the retention of relatively dependent actors forces the system away from equilibrium, while exchange of control, according to Coleman the driv...

The aim of this paper is to consider a dynamic competitive economic equilibrium problem in terms of maximization of utility functions and of excess demand functions. This equilibrium problem is studied by means of a time-dependent quasivariational inequality which is set in the Lebesgue space L2 0, T ,R . This approach allows us to obtain an existence result of timedependent equilibrium solutions.

Many cases of externalities in agricultural production, such as pesticide drift, crosspollination, and offensive odors, are attributable to the incompatibility of neighboring land uses and exhibit distance dependence. We characterize equilibrium spatial patterns of externality-generating and -receiving land uses on a two-dimensional lattice with noncooperative, profit-maximizing producers. In e...

There are many situations in which a customer’s proclivity to buy the product of any firm depends not only on the classical attributes of the product such as its price and quality, but also on who else is buying the same product. We model these situations as games in which firms compete for customers located in a “social network”. Nash Equilibrium (NE) in pure strategies exist in general. In th...

With a significant slowing down in economic growth especially in the growth rate of exports since the beginning of the 2010s when the appreciation of Renminbi (RMB) appreciation accelerates, China also faces a challenge of improving the already deteriorated income distribution. This raises a concern over the issue on how to stimulate domestic demand when export growth rate is slowing down and r...

For a social code of conduct to gain universal acceptance in a society, it would have to satisfy minimum requirements of consistency and procedural justice. The so-called universalizability principle in ethics says that any moral judgement made for an action of a person in a situation should be universalizable to other persons’ actions in situations that are identical in relevant respects. By a...

It is known that Nash equilibria and approximate Nash equilibria not necessarily optimize social optima of bimatrix games. In this paper, we show that for every fixed ε > 0, every bimatrix game (with values in [0, 1]) has an ε-approximate Nash equilibrium with the total payoff of the players at least a constant factor, (1 − √ 1− ε), of the optimum. Furthermore, our result can be made algorithmi...