imprint:
Institute for Operations Research and the Management Sciences, 2001
Published in:Mathematics of Operations Research
Language:
English
ISSN:
0364-765X;
1526-5471
Origination:
Footnote:
Description:
<p> We consider collections of games with and without side payments described by certain natural parameters. Given the parameters π describing a collection of games and a lower bound n<sub>0</sub> on the number of players, we obtain a bound <tex-math>$\varepsilon _{0}(\pi ,n_{0})$</tex-math> so that, for any <tex-math>$\varepsilon \geq \varepsilon _{0}(\pi ,n_{0})$</tex-math>, all games in the collection with at least n<sub>0</sub> players have nonempty ε-cores. Examples are provided in which the bound on ε is met. For parameter values ensuring that there are many close substitutes for most players and that relatively small groups of players can realize nearly all gains to collective activities, for games with many players the bound on ε is small. </p>