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Results n° 1 to 8 of 12 matches
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Title Cursed trio or fruitful triad? The case of the "Rock-Paper-Scissors" game
Author PARLEBAS Pierre
Keywords Balanced graph, Effet Condorcet, Intransitivity, Paradoxical game, Tournament, Traditional game, Triad, Two persons zero sum game
Topic None
Abstract Observed in many countries, the traditional “Rock-Paper-Scissors” game represents a competitive interaction model that we also find in the animal world and in some social situations. Is it, as is often claimed, a triangular model generating a cyclical structure? Its underlying structure is in fact that of a two player zero-sum game, whereas the, apparently isomorphous, “Fox-Chicken–Snake” game’s structure in fact denotes a circular triadic configuration. This intransitivity generates a paradox characterized by an ambivalence which creates ambiguity between opposition and cooperation interactions. Many sociologists hold triads to be the fundamental relational unit. But paradoxical triads, which have perverse effects, are rejected by institutions, especially sport institutions, even though they seem fruitful and favor the emergence of a social link, a factor of open-mindedness and adaptability.
Number 196, Winter 2011
Language   French
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Title Mathematical models, outdoor games and the social sciences
Author PARLEBAS Pierre
Keywords Interactive system, Internal logic, Mathematical model, Paradoxical game, Ritual, Sport, Traditional game
Topic None
Abstract Outdoor games embody physical activities with a social impact, capable of highlighting the norms and values of their cultural sphere of influence. A mathematical model of their content reveals universal values, whose internal logic can be expressed through graphs and matrices. Thus, in a measurable and often striking way, a cultural outlook, of which outdoor games are in part a reflection, is highlighted. The contrast between rituals and outdoor games as suggested by Claude Lévi-Strauss is challenged here, in favour of a different contrast between games and sports. Traditional games cannot be consistently put in the same category as «zero sum games», as in the case of sport; they may assume very different sorts of «non-zero sum» internal logic, in particular epitomised by competitive (and not exclusive) games, and through paradoxical games.
Number 191, Fall 2010, special issue: Variability and inequalities
Language   French
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Title Foreword. Special issue: "Mathematics, sport games, sociology"
Author PARLEBAS Pierre
Keywords None
Topics Epistemology, Game Theory, Modelling, Sociology, Sports
Abstract Foreword. Special issue: "Mathematics, sport games, sociology"
Number 170, Spring 2005, special issue: Mathematics, sport games, sociology
Language   French
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Title Modelling in games and sports
Author PARLEBAS Pierre
Keywords Game, Graph, Modelling, Oulipo, Paradoxical game, Sport, Universals
Topics Game Theory, Graphs, Modelling, Networks, Sports
Abstract The role assumed by games and sports in their respective societies, can be enlightened by the analysis of their profound structure, whose invariant aspect contrast strongly with the incredible variety of the practices they give rise to. As Oulipo has shown for writings, games and sports are shaped by their system of constraints. These constraints determine structures named «universals» which are models based on an internal logic whose significant features characterize the motor action generated during the game. A detailed presentation of the basic structure of several universals is given (networks of motor communication, structure of the score interactions, scoring system.). The analysis' interest and difficulty comes from showing the links between the universals' properties and the striking orientations of the cultures the different games belong to. By using specific examples such as the Olympic Games, some relations between internal logic traits and cultural characteristics are presented: increasing the value of competition, the equality of opportunity, cooperation. The aim is to see if and how some dominant social representations are underlain by motor interaction situations whose simple mathematic properties can therefore prove decisive. The role assumed by games and sports in their respective societies, can be enlightened by the analysis of their profound structure, whose invariant aspect contrast strongly with the incredible variety of the practices they give rise to. As Oulipo has shown for writings, games and sports are shaped by their system of constraints. These constraints determine structures named «universals» which are models based on an internal logic whose significant features characterize the motor action generated during the game. A detailed presentation of the basic structure of several universals is given (networks of motor communication, structure of the score interactions, scoring system.). The analysis' interest and difficulty comes from showing the links between the universals' properties and the striking orientations of the cultures the different games belong to. By using specific examples such as the Olympic Games, some relations between internal logic traits and cultural characteristics are presented: increasing the value of competition, the equality of opportunity, cooperation. The aim is to see if and how some dominant social representations are underlain by motor interaction situations whose simple mathematic properties can therefore prove decisive.
Number 170, Spring 2005, special issue: Mathematics, sport games, sociology
Language   French
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Title Elementary mathematisation of the action in sport games
Author PARLEBAS Pierre
Keywords Games graph, Internal logic, Modelling, Motor action, Sociomotor role, sporting game, Transition graph
Topics Decision Theory, Game Theory, Graphs, Modelling, Social Psychology, Sports
Abstract The aim of this article is to show that the analysis of players' motor action can be formalized mathematically, particularly with the help of graphs and matrixes. A traditional game, la Galine, is chosen as the common theme to illustrate in practical terms the concepts and options successively put forward. The motor logic or internal logic of the game, gives objective indicators relative to space, objects, time and others, which allow us to identify sociomotor roles precisely. Sociomotors roles can be organized in a transition graph which illustrates the players' potential choices. The same reasoning is used to draw graphs of sociomotor sub-roles' changes. One can deduct game graphs and players' decision trees. This approach is generalized and a classification of games based upon the morphology of their sociomotor roles network, is put forward. The main idea is to convert the pertinent ludomotor characteristics in a graph structure, and to exploit this graph's elementary but exact mathematical properties, for psychological and sociological interpretations.
Number 170, Spring 2005, special issue: Mathematics, sport games, sociology
Language   French
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Title Successive score lines, game length and vicious effects in volley-ball
Author PARLEBAS Pierre
Keywords None
Topics Combinatorics, Game Theory, Lattices, Sports, Statistics
Abstract
Number 95, Fall 1986
Language   French
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Title Tennis: point systems, morphisms and paradoxes
Author PARLEBAS Pierre
Keywords None
Topics Algorithms - Algorithmic Theory, Game Theory, Networks, Sports
Abstract
Number 92, Winter 1985
Language   French
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Title Sporting game modelization: volley-ball points system
Author PARLEBAS Pierre
Keywords None
Topics Game Theory, Networks, Sports
Abstract
Number 91, Fall 1985
Language   French
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