It is well known that the Penrose-Banzhaf index of a weighted game can differ starkly from corresponding weights. Limit results are quite the opposite, i.e., under certain conditions the power distribution approaches the weight distribution. Here we provide parametric examples that give...

In this paper we characterize the feedback equilibrium of a general infinite-horizon Stackelberg-Nash differential game where the roles of the players are mixed. By mixed we mean that one player is a leader on some decisions and a follower on other decisions. We prove a verification theorem that...

We study a non-traditional cooperative game where returns from coalitions are nondeterministic. The long-standing concept of core can be generalized to reflect players' contentment with their allocations. It is now imperative to formalize the restrictions, such as those pertaining to...

This paper presents a simple Ramsey-type model example where two infinitely-living agents have same utility function except for time preference, and shows that equilibrium is indeterminate that is to be interpreted as being non-existent. The issues regarding New Keynesian transversality...

OWEN (1975) introduced linear production (LP) situations and TIMMER,BORM and SUIJS (1998) introduced more general situations involving the linear transformation of products (LTP). They showed that the corresponding LTP games are totally balanced. In this paper we look at LTP situations with an...

We model cooperative games when externality affects the payoffs of coalitions. The coalitional games among countries committing to pollution reduction can be easily embedded into such a framework. We evaluate the individual welfare for countries joining the International Environmental Agreements...

In this article we derive necessary and sufficient conditions for the existence of Pareto optimal solutions for an N player cooperative infinite horizon differential game. Firstly, we write the problem of finding Pareto candidates as solving N constrained optimal control subproblems. We derive...

As oil refining is a multiproduct industrial activity, there are innumerable ways to allocate a refinery’s CO2 emissions among the various refined products. The linear-programming models used to manage refineries may serve to compute the marginal contribution of each finished product to the...

Linear programming is widely used by multiproduct oil-refining firms which minimize a refinery’s variable cost under a set of constraints. In addition to operating costs, this variable cost can include the cost associated with the refinery’s CO2 emissions. We suggest a quite general approach...

The objective of this paper is to investigate the usefulness of on-cooperative bargaining theory for the analysis of negotiations on water allocation and management. We explore the impacts of different economic incentives, a stochastic environment and varying individual preferences on players'...