With the rapid development of economy, quality power systems has assumed an increasingly prominent influence on people’s daily lives. In this paper, improved equilibrium optimizer (IEO) is proposed to solve optimal flow (OPF) problem. The algorithm uses chaotic pool enhance information interaction between individuals. addition, a nonlinear dynamic generation mechanism introduced balance global ...

US transmission systems and wholesale electricity markets, albeit federally regulated, often span across multiple state jurisdictions. In this environment, regulators can strategically exploit techno-economic coupling to advance their clean energy policy goals at the expense of neighboring This paper investigates strategic regulatory competition understand its effect on achieving Renewable Port...

The traffic assignment problem is one of the most important problems for analyzing and optimizing the transportation network to find optimal flows. This study presented a new formulation based on a generalized Benders' decomposition approach to solve its important part, i.e. user equilibrium problems, in deterministic and stochastic cases. The new approach decomposed the problem into a master p...

‎Financial market modeling and prediction is a difficult problem and drastic changes of the price causes nonlinear dynamic that makes the price prediction one of the most challenging tasks for economists‎. ‎Since markets always have been interesting for traders‎, ‎many traders with various beliefs are highly active in a market‎. ‎The competition among two agents of traders‎, ‎namely trend follo...

Ummels andWojtczak initiated the study of findingNash equilibria in simple stochastic multi-player games satisfying specific bounds. They showed that deciding the existence of pure-strategy Nash equilibria (pureNE)where a fixed player wins almost surely is undecidable for games with 9 players. They also showed that the problem remains undecidable for the finite-strategy Nash equilibrium (finNE)...

We study a class of equilibrium problems which is identified with a complete metric space of functions. For most elements of this space of functions in the sense of Baire category, we establish that the corresponding equilibrium problem possesses a unique solution and is well-posed.

This paper investigates three distinctive and intuitive renegotiation bargaining protocols that all yield the Shapley value as the unique subgame perfect equilibrium outcome. These protocols, built on the multi-bidding procedure of Pérez-Castrillo and Wettstein (2001), allow more freedom in multilateral bargaining where rejected players can further negotiate and form coalitions. The self-dualit...

We study a class of dynamic decision problems of mean field type with time inconsistent cost functionals, and derive a stochastic maximum principle to characterize subgame perfect Nash equilibrium points. Subsequently, this approach is extended to a mean field game to construct decentralized strategies and obtain an estimate of their performance.