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Title Unfair sporting games and motor aggressiveness
Author COLLARD Luc
Keywords Experimental game theory, Mixed strategy, Motor aggressiveness, sporting game
Topics Game Theory, Social Psychology, Sports
Abstract The goal of the present work was to experimentally verify Elias's hypothesis [1986], according to which unfair sporting situations lead to aggressive outbursts. To this end, adult volunteers were subjected to an inherently unfair 6-a-side game which lacked a balanced tactical basis. At the start of the game, a decision is taken separately by each team: the choice of one of two possible balls. One team's potential score depends on the choice of the ball made by the other team. The scoring matrix is designed in such a way that every time a point is scored, one of the two teams feels penalized by its opening choice. The originality of the present work consisted in ending the game with a potentially aggressive motor action. Starting from opposite ends of a sports hall, the two teams have to touch their ball down in the opposing end zone in order to definitively acquire the previously scored points. Each team is free to prevent the other one from achieving its objective by any means it sees fit. When the game is replayed, the initial «mixed» strategies appear to be quite rational. On the other hand, when the motor action has to be performed, the teams minimize their gains whilst taking their revenge on their opponents. The more distorted the score, the more aggressive the players.
Number 182, Summer 2008
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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