Abstracts of Annual Conference of Japan Society for Management Information
Annual Conference of Japan Society for Management Information 2012 Autumn
Session ID : H2-8
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Abstract
The formulation of Sequential equilibrium in game represented by Multi-agent influence diagram
*Tomoki ShibataKyouichi Kijima
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Abstract
In game theory, there are some ways for representation of game, e.g. normal form or extensive form representation. But these representations often vague the structure of influences among decisions and nature states.
On the other hand, Multi-agent influence diagrams (MAIDs), another representational way of game, can explicitly express a structure of influences of game. Nash equilibrium is defined on MAIDs, but in imperfect information game Nash equilibrium causes such a problem that action strategies outside paths of equilibrium are not evaluated. In Sequential equilibrium (SE) those action strategies can be evaluated by concept of belief, but it is not defined on MAIDs.
In the framework of MAIDs, we try to formulate SE and derive some new insights.
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© 2012 by Japan Society for Management Information
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