The main goal of this paper is to understand the reasons driving the coincidence of different allocation rules for … different classes of games. We define a new symmetry property, reverse symmetry, and study its geometric and game theoretic … implications. In particular, we show that most classic allocation rules satisfy it. Then, we introduce and study a notion of …

excluding one member from team communication hurts team cooperation: the communicating partners collude in profit allocation … partners to reach out to the excluded member helps to restore cooperation and fairness in profit allocation. But it does not …