software

This tool is intended for simulation (numerical) solutions in normal-form games (see literature on Game Theory). A game in normal-form of N players is a vector (Q;S_1,...,S_N;U_1,...,U_N), where    - Q is a set of players, i.e. Q={1,...,N}    - S_i are sets of strategies of players i\in Q, S=S_1 x S_2 x ... x S_N is      a total set of profiles.    - U_i are utility functions in form U_i: S->R      By saying numerical, we mean an existence of certain computer procedure (or      oracle) called cellModel, which returns a vector R^N of payoffs to each given      profile s in S. When solving such a game, we have to:         - invoke cellModel(s) for all s in S,         - complete all profiles and store their utilities in memory,         - determine the equilibrium point.      Anyone can insight that this computation may be rather difficult due the      fact of size of the set of profiles |S|. The algorithmic and memory complexity of      the computation can be significantly decreased by transforming a given game to its      strategic equivalent (it keeps all equilibrias of the original game).      Thus, we need an algorithm transforming a given game to its smaller      equivalent which does not suffer from the disadvantages mentioned above.      FDDS-Solver is a method and algorithm satisfying that. FDDS-Solver has been      implemented as a computer tool.

game theory, strategic equivalence of games, best-response, dominant strategy

27. 11. 2009

Domovská stránka FDDS-Solveru (http://perchta.fit.vutbr.cz/FDDS-Solver)

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