Nash equilibrium for collective strategic reasoning
In multi-player games, the Nash Equilibrium (NE) profile concept deserves a team for selecting strategies during a match, so no player  except in own prejudice  individually deviates from the team selected strategy. By using NE strategy profiles, the way a baseball team increases the possibilities to a match victory is payoff-matrices-based analyzed in this paper. Each matrix entry arrange each players strategies by regarding the ones from mates and adversaries, and posterior to a NE-profile-selection, the matrix from all players strategies can support the managers strategic decision-making in the course of a match. A finite state machine, a formal grammar and a generator of random plays are the algorithmic fundament for this collective strategic reasoning automation. The relationships to e-commerce, social and political scopes, as well as to computing issues are reviewed.
nash equilibrium strategic reasoning multi-player games team strategies