2. Actions and Transitions¶

Let $\tilde{A} \ni a_{j}$ denote the finite action set of each individual (small) player $j \in \mathcal{Z}$ . Then $A := \tilde{A}^{\mathcal{Z}} \ni a$ , denotes the $N_{z}$ -copies of an individual’s action space—i.e. the set of action profiles $a$ . The finite set $A$ has $N_{a} := |A|$ number of action profiles.

For each action profile $a \in A$ , its associated Markov transition probability function is a linear operator $P(a): D \rightarrow D$ .

Relevant functions $\blacktriangleright$

A_ProfileSet(self)¶: Returns the finite set $A$ of $N_{a}$ action profiles of individual small players. A numeric array of size $N_{a} \times N_{z}$ .

TransProbA(self)¶: Returns the finite set of Markov maps $P(a): D \rightarrow D$ , one for every $a \in A$ . A numeric array of size $N_{z} \times N_{z} \times N_{a}$ .

2. Actions and Transitions¶

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