nontransitive relation

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• Nontransitive dice — A set of nontransitive dice is a set of dice for which the relation is more likely to roll a higher number is not transitive. See also intransitivity. This situation is similar to that in the game Rock, Paper, Scissors, in which each element has… …   Wikipedia

• Nontransitive game — A non transitive game is a game for which the various strategies produce one or more loops of preferences. As a result, in a non transitive game the fact that strategy A is preferred over strategy B, and strategy B is preferred over strategy C,… …   Wikipedia

• transitive law — Property of relationship that states that if A is in a given relation to B and B is in the same relation to C, then A is also in that relation to C. Equality, for example, is a transitive relation. * * * ▪ logic and mathematics       in… …   Universalium

• formal logic — the branch of logic concerned exclusively with the principles of deductive reasoning and with the form rather than the content of propositions. [1855 60] * * * Introduction       the abstract study of propositions, statements, or assertively used …   Universalium

• Efrons Würfel — Intransitive Würfel (die einander gegenüberliegenden Seiten jedes Würfels sind mit der gleichen Zahl beschriftet) Intransitive Würfel nennt man einen Satz spezieller Spielwürfel, in dem es zu jedem der Würfel einen anderen Würfel gibt, gegen den… …   Deutsch Wikipedia

• Intransitive Würfel — (die einander gegenüberliegenden Seiten jedes Würfels sind mit der gleichen Zahl beschriftet) Intransitive Würfel nennt man einen Satz spezieller Spielwürfel, in dem es zu jedem der Würfel einen anderen Würfel gibt, gegen den er auf Dauer… …   Deutsch Wikipedia

• Intransitiver Würfelsatz — Intransitive Würfel (die einander gegenüberliegenden Seiten jedes Würfels sind mit der gleichen Zahl beschriftet) Intransitive Würfel nennt man einen Satz spezieller Spielwürfel, in dem es zu jedem der Würfel einen anderen Würfel gibt, gegen den… …   Deutsch Wikipedia

• Cooperative game — This article is about a part of game theory. For video gaming, see Cooperative gameplay. For the similar feature in some board games, see cooperative board game In game theory, a cooperative game is a game where groups of players ( coalitions )… …   Wikipedia

• Tragedy of the commons — Cows on Selsley Common. The tragedy of the commons is one way of accounting for overexploitation. The tragedy of the commons is a dilemma arising from the situation in which multiple individuals, acting independently and rationally consulting… …   Wikipedia

• Arrow's impossibility theorem — In social choice theory, Arrow’s impossibility theorem, the General Possibility Theorem, or Arrow’s paradox, states that, when voters have three or more distinct alternatives (options), no voting system can convert the ranked preferences of… …   Wikipedia

• Common knowledge (logic) — For common knowledge in general, see Common knowledge. Common knowledge is a special kind of knowledge for a group of agents. There is common knowledge of p in a group of agents G when all the agents in G know p, they all know that they know p,… …   Wikipedia