Finding the nucleoli of large cooperative games
نویسندگان
چکیده
منابع مشابه
Finding the nucleoli of large cooperative games
The nucleolus is one of the most important solution concepts in cooperative game theory as a result of its attractive properties it always exists, is unique, and is always in the core (if the core is non-empty). However, computing the nucleolus is very challenging because it involves the lexicographical minimization of an exponentially large number of excess values. We present a method for comp...
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Nguyen and Thomas (2016) claimed that they have found a method to compute the nucleoli of games with more than 50 players using nested linear programs (LP). Unfortunately, this claim is false. They incorrectly applied the indirect proof by “A∧ not B implies A∧ not A” to conclude that “if A then B”is valid. In fact, they prove that a truth implies a falsehood. As established by Meinhardt (2015a)...
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Finding equilibria in large sequential games of incomplete information
Computing an equilibrium of an extensive form game of incomplete information is a fundamental problem in computational game theory, but current techniques do not scale to large games. To address this, we introduce the ordered game isomorphism and the related ordered game isomorphic abstraction transformation. For an n-player sequential game of incomplete information with observable actions and ...
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ژورنال
عنوان ژورنال: European Journal of Operational Research
سال: 2016
ISSN: 0377-2217
DOI: 10.1016/j.ejor.2015.08.017