Two equivalence results for two-person strict games
نویسندگان
چکیده
Article history: Received 21 April 2008 Available online 28 April 2010 JEL classification: C72
منابع مشابه
Discovering Theorems in Game Theory: Two-Person Games with Unique Pure Nash Equilibrium Payoffs
In this paper we provide a logical framework for using computers to discover theorems in two-person finite games in strategic form, and apply it to discover classes of games that have unique pure Nash equilibrium payoffs. We consider all possible classes of games that can be expressed by a conjunction of two binary clauses, and our program rediscovered Kats and Thisse’s class of weakly unilater...
متن کاملA TRANSITION FROM TWO-PERSON ZERO-SUM GAMES TO COOPERATIVE GAMES WITH FUZZY PAYOFFS
In this paper, we deal with games with fuzzy payoffs. We proved that players who are playing a zero-sum game with fuzzy payoffs against Nature are able to increase their joint payoff, and hence their individual payoffs by cooperating. It is shown that, a cooperative game with the fuzzy characteristic function can be constructed via the optimal game values of the zero-sum games with fuzzy payoff...
متن کاملDiscovering Theorems in Game Theory: Two-Person Games with Unique Nash Equilibria
In this paper we provide a logical framework for using computers to discover theorems in (two-person finite) games in strategic form, and apply it to discover classes of games that have unique (pure-strategy) Nash equilibria. We consider all possible classes of games that can be expressed by a conjunction of two binary clauses, and our program re-discovered Kats and Thisse’s class of weakly uni...
متن کاملA satisfactory strategy of multiobjective two person matrix games with fuzzy payoffs
The multiobjective two person matrix game problem with fuzzy payoffs is considered in this paper. It is assumed that fuzzy payoffs are triangular fuzzy numbers. The problem is converted to several multiobjective matrix game problems with interval payoffs by using the $alpha$-cuts of fuzzy payoffs. By solving these problems some $alpha$-Pareto optimal strategies with some interval outcomes are o...
متن کاملUniqueness of optimal strategies in Captain Lotto games
We consider the class of two-person zero-sum allocation games known as Captain Lotto games (Hart 2014). These are Colonel Blotto type games in which the players have capacity constraints. We consider the game with non-strict constraints, and with strict constraints. We show in most cases that when optimal strategies exist, they are necessarily unique. When they don’t exist, we characterize the ...
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:
- Games and Economic Behavior
دوره 71 شماره
صفحات -
تاریخ انتشار 2011