Hypergame

Now, the first move of hypergame is to state which normal game is to be played. For example, if you and I were playing hypergame and I had the first move, I might say, “Let's play chess.”

Source: wiktionary

Using this approach, hypergame analysis has been applied to business, water resources, and military conflicts.

Source: wiktionary

In a hypergame situation each player behaves as an autonomous agent who makes a decision based on his own "internal model" that describes individually and independently the complex situation where he is involved.

Source: wiktionary

A hypergame models the situation where different players perceive their interaction with other players differently and consequently play different games in their own minds depending on their perception.

Source: wiktionary