Stackelberg security games: Computing the shortest-path equilibrium

作者:

Highlights:

• A real security game is represented as a shortest-path game using a Lyapunov theory.

• The problem of finding pure and mixed strategies became computationally tractable.

• We introduce a joint c-variable to reformulate the problem as linear programming.

• We provide a method for constructing a Lyapunov-like function.

• We prove that the convergence of the method to a strong equilibrium is exponential.

摘要

•A real security game is represented as a shortest-path game using a Lyapunov theory.•The problem of finding pure and mixed strategies became computationally tractable.•We introduce a joint c-variable to reformulate the problem as linear programming.•We provide a method for constructing a Lyapunov-like function.•We prove that the convergence of the method to a strong equilibrium is exponential.

论文关键词:Security games,Strong Stackelberg equilibrium,Shortest-path games,Lyapunov equilibrium,Lyapunov games,Complexity analysis,Repeated Markov games

论文评审过程:Available online 16 January 2015.

论文官网地址:https://doi.org/10.1016/j.eswa.2014.12.034