Some Matrix Techniques in Game Theory

نویسنده

  • Chi-Kwong Li
چکیده

In this paper, we discuss some matrix techniques in game theory. In particular, we give a short proof of the fact that equilibrium pairs of a two-person general-sum game can be found by solving certain systems of linear inequalities, and hence some standard linear programming packages such as LINDO or Maple can be used to do the computation. The technique is also used to study evolutionary games and auction games. In the former case, additional techniques are used to determine evolutionary stable strategies, and it is also shown that the computation can be done by LINDO.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The competitive advantages analysis of pharmaceutical industry strategic behaviors by game theory

Game theory is the study of mathematical models and cooperation between intelligent rational decision-makers. This paper provides a flexible model to calculate pay-off matrix based on several importance factors. This model is adapted by cooperative game and developed for some competitive advantages sections in pharmaceutical industry. An optimum solution is derived by considering Nash equilibri...

متن کامل

Two-tier Supplier Base Efficiency Evaluation Via Network DEA: A Game Theory Approach

In today's competitive markets, firms try to reduce their supply cost by selecting efficient suppliers using different techniques. Several methods can be applied to evaluate the efficiency of supplier base. This paper develops generalized network data envelopment analysis models to examine the efficiency of two-tier supplier bases under cooperative and non-cooperative strategies where each tier...

متن کامل

B2B electronic market analysis using game theory

In the explosive growth of Business to Business (B2B) Electronic Trades, electronic markets have received a great deal of attention recently. The obtained profit of trading in E-B2B market encourage market participants to remain in the market. Market participants consist of: sellers, buyers, and market owner. In this paper the expected profit function for each market participant has been define...

متن کامل

Analysis of the Evolutionary Game Theory in Agent-Based Computational Systems: OPEC Oil-Producing Countries

This study suggests a new method for analysing the behavioral economics issues in the framework of game theory. In this context, bounded rational agents interact with one another in a strategic manner. Therefore, conventional economic modeling techniques are unable to explaine this kind of interactions. In this regard, evolutionary game theory and agent-based modeling are known as the most suit...

متن کامل

Coupled coincidence point in ordered cone metric spaces with examples in game theory

In this paper, we prove some coupled coincidence point theorems for mappings with the mixed monotone property and obtain the uniqueness of this coincidence point. Then we providing useful examples in Nash equilibrium.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004