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Modify search criterions Results n° 1 to 8 of 12 matches
| 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 | Read the article
| 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 | Read the article
| 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 | Read the article
| 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 | Read the article
| 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 | Read the article
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