Dynamic Oligopolistic Games Under Uncertainty: A Stochastic Programming Approach

Abstract

This paper studies several stochastic programming formulations of dynamic oligopolistic games under uncertainty. We argue that one of the models, namely Games with Probabilistic Scenarios (GPS), provides an appropriate formulation. For such games, we show that symmetric players earn greater expected profits as demand volatility increases. This result suggests that even in an increasingly volatile market players may have an incentive to participate in the market. The key to our approach is the so-called scenario formulation of stochastic programming. In addition to several modeling insights, we also discuss the application of GPS to the electricity market in Ontario, Canada. The examples presented in this paper illustrate that this approach can address dynamic games that are clearly out of reach for dynamic programming, a common approach in the literature on dynamic games.

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Document Details

Document Type
Technical Report
Publication Date
Sep 03, 2005
Accession Number
ADA638215

Entities

People

  • Stanley S. Reynolds
  • Suvrajeet Sen
  • Talat Genc

Organizations

  • University of Arizona

Tags

Communities of Interest

  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Algorithms
  • Capital Investments
  • Computations
  • Computer Programming
  • Dynamic Programming
  • Economics
  • Electricity
  • Literature
  • Mathematical Programming
  • Motivation
  • Natural Gas
  • Operations Research
  • Optimization
  • Probability
  • Random Variables
  • Random Walk
  • Stochastic Processes

Fields of Study

  • Economics

Readers

  • Agent-Based Social Robotics and Mobile-Assisted Learning in Virtual Environments.
  • Economics
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space