Stability of generally efficient situation in finite cooperative games with parametric optimality principle ("from Pareto to Nash")
نویسندگان
چکیده
A parametric optimality principle (choice function) in a finite cooperative game of several persons is determined. This principle is specified by means of partition of players set into coalitions. It generates a set of generally efficient situations. Extreme cases of such a partition correspond to Pareto optimal situation and Nash equilibrium situation. For a situation, efficient for a given partition, analysis of stability to independent perturbations of coefficients of linear payoff functions has been carried out. Extreme levels of perturbations that remain efficient are specified. MSC : 90C29, 90C31.
منابع مشابه
On stability of an optimal situation in a finite cooperative game with a parametric concept of equilibrium (from lexicographic optimality to Nash equilibrium)
A parametric concept of equilibrium (principle of optimality) in a finite cooperative game in normal form of several players is introduced. This concept is defined by means of the partition of players into coalitions. Lexicographically optimal situation and Nash equilibrium situation correspond to two special cases of this partition. The quantitative analysis of stability of an optimal situatio...
متن کاملOn stability of Nash equilibrium situations and Pareto optimal situations in finite games
A non-cooperative finite game of several persons is considered in the case, where payoff functions are linear. Extreme levels of independent perturbations of payoff functions parameters, which remain Nash and Pareto optimality of a situation, are specified. Necessary and sufficient conditions of such stability are stated. AMS Mathematics Subject Classification : 90C27, 90C29.
متن کاملExistence and Optimality of Nash Equilibria in Inventory Games
This paper studies the stability and optimality of a distributed consensus protocol for n-player repeated non cooperative games under incomplete information. At each stage, the players choose binary strategies and incur in a payoff monotonically decreasing with the number of active players. The game is specialized to an inventory application, where fixed costs are shared among all retailers, in...
متن کاملNash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs
In this paper, bi-matrix games are investigated based on L-R fuzzy variables. Also, based on the fuzzy max order several models in non-symmetrical L-R fuzzy environment is constructed and the existence condition of Nash equilibrium strategies of the fuzzy bi-matrix games is proposed. At last, based on the Nash equilibrium of crisp parametric bi-matrix games, we obtain the Pareto and weak Pareto...
متن کاملPricing and Advertising Decisions in a Three-level Supply Chain with Nash, Stackelberg and Cooperative Games
Pricing and advertising are two important marketing strategies in the supply chain management which lead to customer demand’s increase and therefore higher profit for members of supply chains. This paper considers advertising, and pricing decisions simultaneously for a three-level supply chain with one supplier, one manufacturer and one retailer. The amount of market demand is influenced ...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- The Computer Science Journal of Moldova
دوره 11 شماره
صفحات -
تاریخ انتشار 2003