On the core: complement-reduced game and max-reduced game

Yan-An Hwang ()

International Journal of Game Theory, 2013, vol. 42, issue 2, 339-355

Abstract: This paper presents two characterizations of the core on the domain of all NTU games. One is based on consistency with respect to “complement-reduced game” and converse consistency with respect to “max-reduced game”. The other is based on consistency with respect to “max-reduced game” and weak converse consistency with respect to “complement-reduced game”. Besides, we introduce an alternative definition of individual rationality, we name conditional individual rationality, which is compatible with non-emptiness. We discuss axiomatic characterizations involving conditional individual rationality for the core. Copyright Springer-Verlag Berlin Heidelberg 2013

Keywords: Core; Reduced game; Consistency; Converse consistency; Conditional individual rationality (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s00182-013-0372-z

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