This important book, written by some of the leading scholars in the field, provides a comprehensive overview of recent advances in coalition theory and presents both the latest theoretical developments and novel applications in the field of economics.

We introduce the concept of a parameterized collection of games with limited side payments, ruling out large transfers of utility. With convexity of the payoff set of the grand coalition, we show that (1) a game with limited side payments has a nonempty epsilon-core and (2) when some degree of...

A "law of scarcity" is that scarceness is rewarded. We demonstrate laws of scarcity for cores and approximate cores of games. Furthermore, we show that equal treatment core payout vectors satisfy a condition of cyclic monotonicity. Our results are developed for parameterized collections of games...

A “law of scarcity” is that scarceness is rewarded. We demonstrate laws of scarcity for cores and approximate cores of games. Furthermore, we show that equal treatment core payoff vectors satisfy a condition of cyclic monotonicity. Our results are developed for parameterized collections of...

In a series of papers (Kovalenkov and Wooders 2001a, Games and Economic Behavior, 2001b,Mathematics of Operations Research, and 1997, Journal of Economic Theory to appear), the authors have developed the framework of parameterized collections of games and also that of parameterized collections...

A 2law of scarcity2 is that scarceness is rewarded. We demonstrate laws of scarcity for cores and approximate cores of games. Furthermore, we demonstrate conditions under which all payoffs in the core of any game in a parametized collection have an equal treatment property and show that equal...