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. © 2012 Springer-Verlag Berlin Heidelberg.
|Number of pages||25|
|Journal||International Journal of Game Theory|
|Publication status||Published - Nov 2013|
- Nonatomic games
- Shapley value