Equilibrium Points in N-Person Games.

نویسنده

  • J F Nash
چکیده

Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use.

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

Maximal elements of $mathscr{F}_{C,theta}$-majorized mappings and applications to‎ ‎generalized games

In the paper‎, ‎some new existence theorems of maximal elements for‎ ‎$mathscr{F}_{C,theta}$-mappings and $mathscr{F}_{C,theta}$-majorized mappings are established‎. ‎As applications, ‎some new existence theorems of equilibrium points for‎ ‎one-person games‎, ‎qualitative games and generalized games are obtained‎. ‎Our results unify and generalize most known results‎ ‎in recent literature‎.

متن کامل

An Observation related to the method of Lemke-Hobson

Introduction Even though Nash´s theorem asserts the existence of equilibrium points for the mixed extension of a normal game, it does not tell us how to find them. Even in the case of two matrices or two person games many algorithms have been proposed by Vorobev[13], Kuhn[3] and Mangasarian[5] to determine all equilibrium pairs, they are more of theoretical interest than for actual computation....

متن کامل

A Closed-Form Formula for the Fair Allocation of Gains in Cooperative N-Person Games

Abstract   This paper provides a closed-form optimal solution to the multi-objective model of the fair allocation of gains obtained by cooperation among all players. The optimality of the proposed solution is first proved. Then, the properties of the proposed solution are investigated. At the end, a numerical example in inventory control environment is given to demonstrate the application and t...

متن کامل

Nonzero - Sum Stochastic Games

This paper extends the basic work that has been done on tero-sum stochastic games to those that are nonzerosum. Appropriately defined equilibrium points are shown to exist for both the case where the players seek to maximize the total value of their discounted period rewards and the case where they wish to maximize their average reward per period. For the latter case, conditions required on the...

متن کامل

An Algorithmic Solution of N-Person Games

function is a function which estimates what resulting value Two-person, perfect information, constant sum games have been studied in Artificial Intelligence. This paper opens up the issue of playing n-person games and proposes a procedure for constant sum or non-constant sum games. It is proved that a procedure, max”, locates an equilibrium point given the entire game tree. The minimax procedur...

متن کامل

Vehicle Routing Problem in Competitive Environment: Two-Person Nonzero Sum Game Approach

Vehicle routing problem is one of the most important issues in transportation. Among VRP problems, the competitive VRP is more important because there is a tough competition between distributors and retailers. In this study we introduced new method for VRP in competitive environment. In these methods Two-Person Nonzero Sum games are defined to choose equilibrium solution. Therefore, revenue giv...

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:
  • Proceedings of the National Academy of Sciences of the United States of America

دوره 36 1  شماره 

صفحات  -

تاریخ انتشار 1950