# Modeling and Computing Two-Settlement Oligopolistic Equilibrium in a Congested Electricity Network

@article{Yao2008ModelingAC, title={Modeling and Computing Two-Settlement Oligopolistic Equilibrium in a Congested Electricity Network}, author={Jian Yao and Ilan Adler and Shmuel S. Oren}, journal={Oper. Res.}, year={2008}, volume={56}, pages={34-47} }

A model of two-settlement electricity markets is introduced, which accounts for flow congestion, demand uncertainty, system contingencies, and market power. We formulate the subgame perfect Nash equilibrium for this model as an equilibrium problem with equilibrium constraints (EPEC), in which each firm solves a mathematical program with equilibrium constraints (MPEC). The model assumes linear demand functions, quadratic generation cost functions, and a lossless DC network, resulting in…

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## References

SHOWING 1-10 OF 61 REFERENCES

### Computing Cournot equilibria in two settlement electricity markets with transmission constraint

- Economics37th Annual Hawaii International Conference on System Sciences, 2004. Proceedings of the
- 2004

We formulate a two-settlement equilibrium in competitive electricity markets as a subgame-perfect Nash equilibrium in which each generation firm solves a Mathematical Program with Equilibrium…

### Strategic gaming analysis for electric power systems: an MPEC approach

- Economics
- 2000

Transmission constraints and market concentration may prevent power markets from being fully competitive, allowing firms to exercise market power and raise prices above marginal cost. We present a…

### Nash-Cournot Equilibria in Power Markets on a Linearized DC Network with Arbitrage: Formulations and Properties

- Economics
- 2003

Extending a prior arbitrage-free model of Hobbs (2001), this article presents two models of an electric power market with arbitrage on a linearized DC network with a affine price functions. The two…

### Cournot Equilibrium in Price-Capped Two-Settlement Electricity Markets

- EconomicsProceedings of the 38th Annual Hawaii International Conference on System Sciences
- 2005

The implications of the two alternative mechanisms for capping prices in a two settlement Cournot equilibrium framework are explored and it is found that either of the price capping alternatives results in reduced forward contracting.

### Linear Complementarity Models of Nash-Cournot Competition in Bilateral and POOLCO Power Markets

- EconomicsIEEE Power Engineering Review
- 2001

Two Coumot models of imperfect competition among electricity producers are formulated as mixed linear complementarity problems (LCPs), and a simple example is presented to illustrate their…

### Two-settlement Systems for Electricity Markets under Network Uncertainty and Market Power

- Economics
- 2004

We analyze welfare and distributional properties of a two-settlement system consisting of a spot market over a two-node network and a single energy forward contract. We formulate and analyze several…

### Multi-settlement systems for electricity markets: zonal aggregation under network uncertainty and market power

- EconomicsProceedings of the 35th Annual Hawaii International Conference on System Sciences
- 2002

We analyze alternative market designs for a multi-settlement system for electricity in which the resolution of the transmission network model is increased as time approaches real-time, and…

### Spatial Oligopolistic Electricity Models with Cournot Generators and Regulated Transmission Prices

- EconomicsOper. Res.
- 1999

An oligopoly with spatially dispersed generators and consumers and with multi-period demand is modeled in this paper and two variants of the model, respectively based on average-cost and marginal-cost pricing for transmission services, are formulated.

### Economic inefficiency of passive transmission rights in congested electricity systems with competitive generation

- Economics
- 1997

The main thesis of this paper is that passive transmission rights such as Transmission Congestion Contracts (TCCs) that are compensated ex-post based on nodal prices resulting from optimal dispatch…