The game is represented in a matrix of players, strategies and pay-offs. These are clearly represented by the functions that are associated with the payoffs of the players, associated with the combination of their actions. In the case of paper, each player has strategies which are specific as opposed to scissors. This is said to give a direct account of simultaneous accounts of the players without any knowledge of those of the other players. In scissors, the three markers, makes the game more predictable to a player and thus most plays are not keen to proceed with the game once they foresee lose because they can possibly know which player will win and more so, once they manage to establish how many changes have been made (Beckert 570).
The utility theory indicates that there is a reasonable assumption and certain players have certain preferences among the outcomes which are consistent with existence of the utility function. The player judges the outcome based on an average utility of the outcome. This thus helps in creating a justification for such cases. However, a two player can be a difficult one. This may mean that the game is no longer a zero-sum game. This shifts to the utility functions of the two players upon their change of locations (Beech 319). The mixed strategy may aid in the implementation of the random mechanism that is involved, and this is by way of trying to draw a line of distinction by tossing a coin among others.
Rock is an evolution game theory based application. It seeks to give a definition to the framework of the contests, analysis and strategies. The dynamics of the strategies that are applied in rock are influenced mainly by the quality of competing strategies that are applied. Because of the effect of frequency within which the competing strategies are based, less people play it (Beech 261). It does not explain the complexity of the challenge. This is helpful