We introduce the framework of parameterized collections of games with and without side payments and provide three no emptiness of approximate core theorems for games in parameterized collections. The parameters bound (a) the number of approximate types of players and the size of the...

In a model of an economy with multiple public goods and differentiated crowding, it is shown that asymptotically the core has the equal treatment property and coincides with the equilibrium outcomes. It follows that all individuals of the same type in the same jurisdiction must pay the same...

Inessentiality of large groups or, in other words, effectiveness of small groups, means that almost all gains to group formation can be realized by partitions of the players into groups bounded in absolute size. The approximate cores property is that all sufficiently large games have nonempty...

We introduce a model of an local public goods economy with a continuum of agents and jurisdictions with finite population. Under an especially mild condition of boundedness of per capita payoffs we show nonemptiness of the core of the economy. We then demonstrate that the equal treatment core...

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...

The author proves an equivalence between large games with effective small groups of players and games generated by markets. Small groups are effective if all or almost all gains to collective activities can be achieved by groups bounded in size of membership. A market is an exchange economy...

The ``crowding types'' model of a local public goods economy makes a distinction between crowding effects and tastes of agents. Decentralization of the core is possible both with anonymous admission prices that depend only on publicly observable information and, when technology is linear, with...

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...