“The first attempts to consider the behavior of so-called "random neural nets" in a systematic way have led to a series of problems concerned with relations between the "structure" and the "function" of such nets. The "structure" of a random net is not a clearly defined topological manifold such as could be used to describe a circuit with explicitly given connections. In a random neural net, one does not speak of "this" neuron synapsing on "that" one, but rather in terms of tendencies and probabilities associated with points or regions in the net.” WayFirstsDoeProblemUsedSpeakGivenTermBehaviorConcernedConnectionsFunctionRelationStructureSeriesTendenciesDefinedRegionsProbabilitySystematicCircuitsNeuronsManifold Author:Anatol Rapoport
“A thorough understanding of game theory, should dim these greedy hopes. Knowledge of game theory does not make one a better card player, businessman or military strategist.” ShouldDoeGamesUnderstandingPlayerMilitaryTheoryCardsBusinessmanGreedyThoroughStrategistThorough Understanding Author:Anatol Rapoport
“Whether game theory leads to clear-cut solutions, to vague solutions, or to impasses, it does achieve one thing. In bringing techniques of logical and mathematical analysis gives men an opportunity to bring conflicts up from the level of fights, where the intellect is beclouded by passions, to the level of games, where the intellect has a chance to operate.” MenGivingDoeFightingPassionOpportunityGamesChanceLevelsClearCuttingOne ThingAchieveTheoryConflictSolutionsIntellectTechniqueMathematicalAnalysisLogicalVagueImpasseMathematical Analysis Author:Anatol Rapoport
“(Game theory is) essentially a structural theory. It uncovers the logical structure of a great variety of conflict situations and describes this structure in mathematical terms. Sometimes the logical structure of a conflict situation admits rational decisions; sometimes it does not.” DoeSometimesGamesTermDecisionSituationTheoryConflictStructureRationalVarietyMathematicalLogicalRational Decisions Author:Anatol Rapoport
