The classical definitions of free competition all involve further postulates besides the greatness of that number. E.g., it is clear that if certain … - John von Neumann

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The classical definitions of free competition all involve further postulates besides the greatness of that number. E.g., it is clear that if certain great groups of participants will — for any reason whatsoever — act together, then the great number of participants may not become effective; the decisive exchanges may take place directly between large “coalitions,”1 few in number, and not between individuals, many in number, acting independently. Our subsequent discussion of “games of strategy” will show that the role and size of “coalitions” is decisive throughout the entire subject.