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...

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.

Consider a financial market with N risk-averse asymmetrically informed traders. When N grows at the same rate as noise trading, prices in competitive and in strategic rational expectations equilibrium converge to each other at a rate of 1/N. Equilibria in the two scenarios are close when noise...

We introduce the concept of a parameterized collection of games with side payments and determine a bound on e so that all sufficiently large games in such a collection have non-empty e -cores. A parameterized collection of games is described by (a) the number of approximate player types and the...

We consider parameterized collections of games without side payments and determine a bound on epsilon so that all sufficiently large games in the collection have non-empty epsilon-cores. The required size of epsilon depends on: (a) the number of approximate player types and the accuracy of this...

We introduce the concept of a parameterized collection of games with limited side payments, ruling out large transfers of utility. Under the assumption that the payoff set of the grand coalition is convex, we show that a large game with limited side payments has a nonempty varepsilon core. Our...