Determine Whether the Given Set Is the Power Set of Some

question 15

Short Answer

determine whether the given set is the power set of some set. If the set is a power set, give
the set of which it is a power set.
- $$\{ \varnothing , \{ a \} , \{ \varnothing , a \} \}$$

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Definitions:

Stackelberg Leader

A firm in a duopoly that moves first to set its output level, thereby determining the market's price and influencing the subsequent behavior of a follower firm.

Cournot Oligopolist

A firm competing in a market where a few firms control the majority of the market share and where each firm takes into account its rivals' production quantities when determining its own quantity.

Cournot Equilibrium

A concept in economic theory where firms reach a state in which each firm chooses the optimal output level assuming the output levels of the other firms.

Duopoly

A market structure characterized by two producers/sellers in competition with each other.