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The main cause for the inconveniences in D-SBRA comes from the coupling issue among EUs' strategy spaces.
First, the strategy spaces of the players should be nonempty compact convex subsets of an Euclidean space.
However, if the strategy spaces of players are modified appropriately according to Theorem 2, the resulting game becomes supermodular.
The problem is formulated analytically using the Nash equilibrium concept composed of large numbers of players having discrete and very large strategy spaces.
In contrast, it is interesting to note that players in game have coupled strategy spaces but their associated utilities are independent.
Here, 'perfect' means complete classes of the information, e.g., risk attitude, valuations, and strategy spaces, and also means no information should have error.
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I haven't attempted this, reflecting my general scepticism about game theory in the absence of a well-defined strategy space.
(8) So, the strategy space is convex.
Strategy space, a set of all strategies of a player.
This set is referred to as the strategy space.
Note that the strategy space Φ may be empty.
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