caa a22 4500 445839902 CHVBK 20180317145340.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00186-011-0348-3 doi (NATIONALLICENCE)springer-10.1007/s00186-011-0348-3 Balancedness conditions for exact games [Elektronische Daten] [Péter Csóka, P. Herings, László Kóczy] We provide two new characterizations of exact games. First, a game is exact if and only if it is exactly balanced; and second, a game is exact if and only if it is totally balanced and overbalanced. The condition of exact balancedness is identical to the one of balancedness, except that one of the balancing weights may be negative, while for overbalancedness one of the balancing weights is required to be non-positive and no weight is put on the grand coalition. Exact balancedness and overbalancedness are both easy to formulate conditions with a natural game-theoretic interpretation and are shown to be useful in applications. Using exact balancedness we show that exact games are convex for the grand coalition and we provide an alternative proof that the classes of convex and totally exact games coincide. We provide an example of a game that is totally balanced and convex for the grand coalition, but not exact. Finally we relate classes of balanced, totally balanced, convex for the grand coalition, exact, totally exact, and convex games to one another. The Author(s), 2011 Totally balanced games nationallicence Exact games nationallicence Convex games nationallicence Csóka Péter Department of Finance, Corvinus University of Budapest, Budapest, Hungary aut Herings P. Department of Economics, Maastricht University, P.O. Box 616, 6200 MD, Maastricht, The Netherlands aut Kóczy László Institute of Economics of the Hungarian Academy of Sciences and Óbuda University, Budapest, Hungary aut Mathematical Methods of Operations Research Springer-Verlag 74/1(2011-08-01), 41-52 1432-2994 74:1<41 2011 74 186 https://doi.org/10.1007/s00186-011-0348-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00186-011-0348-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Csóka Péter Department of Finance, Corvinus University of Budapest, Budapest, Hungary aut NATIONALLICENCE 700 1- Herings P. Department of Economics, Maastricht University, P.O. Box 616, 6200 MD, Maastricht, The Netherlands aut NATIONALLICENCE 700 1- Kóczy László Institute of Economics of the Hungarian Academy of Sciences and Óbuda University, Budapest, Hungary aut NATIONALLICENCE 773 0- Mathematical Methods of Operations Research Springer-Verlag 74/1(2011-08-01), 41-52 1432-2994 74:1<41 2011 74 186 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer