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Reduced normal forms are not extensive forms
Economic Theory Bulletin ( IF 0.4 ) Pub Date : 2020-06-04 , DOI: 10.1007/s40505-020-00183-8 Carlos Alós-Ferrer , Klaus Ritzberger
Economic Theory Bulletin ( IF 0.4 ) Pub Date : 2020-06-04 , DOI: 10.1007/s40505-020-00183-8 Carlos Alós-Ferrer , Klaus Ritzberger
Fundamental results in the theory of extensive form games have singled out the reduced normal form as the key representation of a game in terms of strategic equivalence. In a precise sense, the reduced normal form contains all strategically relevant information. This note shows that a difficulty with the concept has been overlooked so far: given a reduced normal form alone, it may be impossible to reconstruct the game’s extensive form representation.
中文翻译:
归约范式不是扩展形式
广泛形式博弈理论的基本结果已经从战略等价性中选出了简化的形式作为博弈的关键表示。确切地说,简化后的范式包含所有与战略相关的信息。该说明表明,迄今为止,该概念的困难已被忽略:仅考虑减少的正常形式,就不可能重建游戏的广泛形式表示。
更新日期:2020-06-04
中文翻译:
归约范式不是扩展形式
广泛形式博弈理论的基本结果已经从战略等价性中选出了简化的形式作为博弈的关键表示。确切地说,简化后的范式包含所有与战略相关的信息。该说明表明,迄今为止,该概念的困难已被忽略:仅考虑减少的正常形式,就不可能重建游戏的广泛形式表示。