caused by that the defender learning must wait for the interpreter learning, the non-vanishing decrease in the efficiency is due to the portion of permanent partially observability arising from the interpreter’s forgetting factor.[^4]

Figure \[gasbu\] illustrates the same property in Fig. \[n\_1027000\] for extreme dissipation factor of $ \gamma = 1 $.

![image](oct_0_7){width="5.6cm" height="4.7cm"}

It is worth noting that, the multiplied probabilities of Eq.\[blockeff\] reduce the maximum blocking efficiency of a partially observable environment in comparison with a fully observable one for every $ \gamma > 0 $ even in the case of the minimum efficiency of $ \gamma = 1 $. This is because the term including $ \gamma $ in the adaptation rule of Eq. \[eqtrans\] refers to forgetting what the agent learned in the previous states, but not the current state. Therefore, this adaptation rule leaves something (even small) more than nothing ($ r_{max}  > 0.5 $) for $ \gamma = 1 $ that can be reduced in a partially observable environment.

**An example of a general fully-partially observable environment; Regarding Equation \[jankan\]** {#secsecdfga}
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In a more general scenario, there are both partially and fully observable percepts in the environment where an agent is expected to 