Despite linear programming and duality have correctly been incorporated in algorithms to compute the nucleolus, we have found mistakes in how these have been used in a broad range of applications. Overlooking the fact that a linear program can have multiple optimal solutions and neglecting the...

This article presents a stochastic dynamic Generalized Nash-Cournot model to describe the evolution of the natural gas markets. The major gas chain players are depicted including: producers, consumers, storage, and pipeline operators, as well as intermediate local traders. Our economic structure...

Firms' quality commitment can efficiently improve the demand. This paper addresses the quality commitment under the duopoly. By establishing a Cournot model, the effects of quality commitment are discussed. Firstly, under one-sided quality commitment, the higher efficiency firm committing in...

We develop a contingent claims model for a firm in financial distress with a formal account for renegotiations under the U.S. bankruptcy procedure (known as Chapter 11). Shareholders and two classes of creditors (senior and junior) alternatively propose a reorganization plan subject to a vote....

Microgrids are defined as an area of electricity distribution network that can operate autonomously from the rest of the network. In order to achieve the best economic outcomes, the participants in a microgrid can benefit from cooperation in microgrid design and operation. In this paper, a...

We develop a contingent claims model of a firm in financial distress with a formal account for renegotiations under the Chapter 11 bankruptcy procedure. Shareholders and two classes of creditors (senior and junior) alternatively propose a reorganization plan subject to a vote. The bankruptcy...

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...

We present a sufficient condition for a feedback Stackelberg equilibrium of a stochastic differential game on an infinite horizon. This condition gives rise to a system of elliptic partial differential equations involving a static Stackelberg game at the level of Lagrangian. As an example, we...

The introduction of a framework for optimal coalition formation using data envelopment analysis (DEA) methods is the focus of this paper. Simple examples illustrate how DEA is useful in formulating coalition models and deriving optimal solutions. In particular, the paper shows the relevance of...

This paper introduces the notion of mixed leadership in non-zero-sum differential games, where there is no fixed hierarchy in decision making with respect to the players. Whether a particular player is leader or follower depends on the instrument variable s/he is controlling, and it is possible...