Values of nondifferentiable vector measure games

Omer Edhan

International Journal of Game Theory, 2013, vol. 42, issue 4, 947-972

Abstract: We introduce ideas and methods from distribution theory into value theory. This new approach enables us to construct new diagonal formulas for the Mertens value (Int J Game Theory 17:1–65, 1988 ) and the Neyman value (Isr J Math 124:1–27, 2001 ) on a large space of non-differentiable games. This in turn enables us to give an affirmative answer to the question, first posed by Neyman (Isr J Math 124:1–27, 2001 ), whether the Mertens value and the Neyman value coincide “modulo Banach limits”? The solution is an intermediate result towards a characterization of values of norm 1 of vector measure games with bounded variation. Copyright Springer-Verlag Berlin Heidelberg 2013

Keywords: Nonatomic games; Shapley value (search for similar items in EconPapers)
Date: 2013
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Working Paper: Values of Nondifferentiable Vector Measure Games (2012)
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DOI: 10.1007/s00182-012-0348-4

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