Zero-determinant strategy in stochastic Stackelberg asymmetric security game

In this section, we introduce the ZD strategy for the defender in the stochastic Stackelberg asymmetric security game. At first, we show the definition of the ZD strategy for the defender and analyze the existence of the ZD strategy. Besides, we explore the performance of the ZD strategy compared with the SSE strategy. Also, we present proofs of our Theorems in the Supplementary Information.

ZD strategy for the defender

Proposed by Press and Dyson¹⁷, ZD strategies mean that one player can unilaterally enforce the two players’ expected utilities subjected to a linear relation, which have…