The document proposes a novel privacy enhancing routing algorithm called Optimal Privacy Enhancing Routing Algorithm (OPERA) for wireless networks. OPERA uses a statistical game-theoretic framework to optimize privacy given a utility function. It considers a global adversary that can observe transmissions in the whole network. OPERA formulates the privacy-utility tradeoff problem as a linear program that can be efficiently solved. Simulation results show that OPERA reduces the adversary's identification probability compared to random and greedy heuristics and the information-theoretic mutual information approach. The algorithm provides improved privacy protection while balancing overhead in wireless networks.