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Results for criterions: Keyword: Aïkido Modify search criterions 1 match Title About the choice of the partner in aïkido: elements of algebra and combinatorics of the pairing of a finite set Author BARBUT Marc, DUPREZ Jean-Marie Keywords Aïkido, Configuration, Homogeneity, Lattice, Pairing, Probability Topics Combinatorics, Lattices, Probabilities, Recurrence equations, Social Psychology, Sociology Abstract The rules of the game named aïkido provide a particular occurrence of the following general problem: a finite set E(|E|= 2n) of persons is divided into k given classes (partition Π); each person is allowed to choose freely a partner among the others; the result is a second partition of E, into n 2-subsets; we name it pairing. The sequence of the sizes of the classes of the cut (infimum) of Π and a pairing (in the partitions lattice of E) is called here a configuration. This paper studies the set of all possible configurations in the two elementary cases k = 2 and k = 3. For (k ≥ 4), some general properties are showed. Number 177, Spring 2007 Language   French Read the article Users rights : The entire journal is licensed under a Creative Commons license