منابع مشابه
On the Three-Person Game Baccara Banque
Baccara banque is a three-person zero-sum game parameterized by θ ∈ (0, 1). A study of the game by Downton and Lockwood claimed that the Nash equilibrium is of only academic interest. Their preferred alternative is what we call the independent cooperative equilibrium. But this solution exists only for certain θ. A third solution, which we call the correlated cooperative equilibrium, always exis...
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Coalitional game deals with situations that involve cooperations among players, and there are different solution concepts such as the core,the Shapley value and the kernel. In many situations, there is no way to predict the payoff functions except for the expert experiencesand subjective intuitions, which leads to the coalitional game with fuzzy payoffs. Within the framework of credibility theo...
متن کاملThe Curvilinear Search Algorithm for Solving Three-Person Game
We formulate the problem of finding a Nash equilibrium point for the non-zero sum three-person game as a nonconvex optimization problem by generalizing Mills’s theorem [10]. For solving the problem, we propose the curvilinear algorithm which allows us to find global solutions. The proposed algorithm was tested numerically on some examples as well as on 3 competitive companies which share the br...
متن کاملTotal tightness implies Nash-solvability for three-person game forms
It is long known [13] that every totally tight 2-person game form is Nash-solvable, that is, it has a Nash-equilibrium for any set of player preferences. Furthermore, it is also known [2] that every totally tight 2-person game form is acyclic and dominance solvable. In this short paper we generalize the first result to 3-person game forms, leaving the general n-person case open. On the other ha...
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Preference for beauty is human nature, as previous behavior studies have supported the notion of "beauty premium" in which attractive people were more easily to get promoted and receive higher salaries. In the present study, 29 males were recruited to participate in a three-person ultimatum game (UG) including a proposer, a responder and a powerless third player. Each subject, playing as the re...
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ژورنال
عنوان ژورنال: Lithuanian Mathematical Journal
سال: 1971
ISSN: 2669-1973
DOI: 10.15388/lmj.1971.21043