My apologies, I hadn’t seen it like that.
Shouldn’t he have? He definitely does write it in UFOES, in the context of a broader discussion of early game theory.
From page 116 of Human Action
There is not the slightest analogy between playing games and the conduct of business within a market society. The card player wins money by outsmarting his antagonist. the businessman makes money by supplying customers with goods they want to acquire.
Basically what he is saying is that in games the object is to win and for your opponent to lose. In a market society, however, individuals act through voluntary exchange. Competition in a market society involves who can best serve the consumers. In an interpersonal economy with voluntary exchange, everyone benefits. In a game with winners and losers, only the winner benefits.