Game information dynamic models based on fluid mechanics

This paper is concerned with the proposal of two different kinds of novel information dynamic models based on fluid mechanics. These models are a series of approximate solutions for the flow past a flat plate at zero incidence. The five Base Ball games in the World Series 2010 have been analyzed using the models. It is found that the first model represents one game group where information of game outcome increases very rapidly with increasing the game length near the end and takes the full value at the end. The second model represents another game group where information gradually approaches to the full value at the end. Three game-progress patterns are identified according to information pattern in the five games, viz., balanced, seesaw and one-sided games. In a balanced game, both of the teams have no score during the game. In a seesaw game, one team leads score(s), then the other team leads score(s) and this may be repeated alternately. In a one-sided game, only one team gets score(s), but the other no score. It is suggested that the present models make it possible to discuss the information dynamics in games and/or practical problems such as projects starting from zero information and ending with full information.

► Two information dynamic models based on fluid mechanics have been proposed.
► Five Base Ball games have been analyzed by the present models.
► The first model represents games where information increases rapidly at the end.
► The second model represents games where information increases gradually at the end.
► Three game-progress patterns are identified; balanced, seesaw, and one-sided.