Risk aversion in imperfect natural gas markets

This paper presents a natural gas market equilibrium model that considers uncertainty in shale gas reserve exploration. Risk aversion is modeled using a risk measure known as the Average Value-at-Risk (also referred to as the Conditional Value-at-Risk). In the context of the European natural gas market, we show how risk aversion affects investment behavior of a Polish and a Ukrainian natural gas supplier. As expected, increased risk aversion leads generally to lower investment, and a larger share of investments in the form of lower risk alternatives, i.e., conventional resources. However, in our market setting where multiple risk-averse agents each maximize their own profits we do observe some counter-intuitive, non-monotonic results. It is noteworthy that in a competitive market, risk aversion leads to significantly lower reserve exploration, which may be interpreted as a credible threat by a large dominating supplier (such as Russia). A threat to flood natural gas markets could deter importing countries from extending their own reserve bases.

[1]  Alexander Shapiro,et al.  Coherent risk measures in inventory problems , 2007, Eur. J. Oper. Res..

[2]  Dimitris Bertsimas,et al.  Robust game theory , 2006, Math. Program..

[3]  Steven A. Gabriel,et al.  A rolling horizon approach for stochastic mixed complementarity problems with endogenous learning: Application to natural gas markets , 2016, Comput. Oper. Res..

[4]  Steven A. Gabriel,et al.  A complementarity model for solving stochastic natural gas market equilibria , 2008 .

[5]  R. Nelsen An Introduction to Copulas , 1998 .

[6]  G. Pflug,et al.  Multistage Stochastic Optimization , 2014 .

[7]  G. Pflug,et al.  The Problem of Ambiguity in Stochastic Optimization , 2014 .

[8]  Franziska Holz,et al.  Risks in global natural gas markets: Investment, hedging and trade , 2016 .

[9]  William Chung,et al.  Benders decomposition for a class of variational inequalities , 2008, Eur. J. Oper. Res..

[10]  M. Ferris,et al.  Complementarity problems in GAMS and the PATH solver 1 This material is based on research supported , 2000 .

[11]  Afzal Siddiqui,et al.  Capacity expansion and forward contracting in a duopolistic power sector , 2014, Comput. Manag. Sci..

[12]  William Chung,et al.  Dantzig—Wolfe Decomposition of Variational Inequalities , 2005 .

[13]  S. Dirkse,et al.  The path solver: a nommonotone stabilization scheme for mixed complementarity problems , 1995 .

[14]  Benjamin F. Hobbs,et al.  Open versus closed loop capacity equilibria in electricity markets under perfect and oligopolistic competition , 2013, Math. Program..

[15]  Philipp M. Richter,et al.  A Global Perspective on the Future of Natural Gas: Resources, Trade, and Climate Constraints , 2015, Review of Environmental Economics and Policy.

[16]  G. Pflug,et al.  Modeling, Measuring and Managing Risk , 2008 .

[17]  John M. Wilson,et al.  Introduction to Stochastic Programming , 1998, J. Oper. Res. Soc..

[18]  Judith Gurney BP Statistical Review of World Energy , 1985 .

[19]  John R. Birge,et al.  Introduction to Stochastic programming (2nd edition), Springer verlag, New York , 2011 .

[20]  Alois Pichler,et al.  Insurance pricing under ambiguity , 2014 .

[21]  H. Hotelling The Economics of Exhaustible Resources , 1931, Journal of Political Economy.

[22]  Benjamin F. Hobbs,et al.  Future evolution of the liberalised European gas market: Simulation results with a dynamic model , 2008 .

[23]  Steven A. Gabriel,et al.  Examining market power in the European natural gas market , 2006 .

[24]  Rudolf Egging Multi-period natural gas market modeling Applications, stochastic extensions and solution approaches , 2010 .

[25]  Andreas Grothey,et al.  Controlled Islanding as Robust Operator Response Under Uncertainty , 2013 .

[26]  Georg Ch. Pflug,et al.  Dynamic generation of scenario trees , 2015, Computational Optimization and Applications.

[27]  Steven A. Gabriel,et al.  Solving stochastic complementarity problems in energy market modeling using scenario reduction , 2009, Eur. J. Oper. Res..

[28]  Steven A. Gabriel,et al.  A Benders Decomposition Method for Solving Stochastic Complementarity Problems with an Application in Energy , 2010 .

[29]  S. Gabriel,et al.  A Generalized Nash–Cournot Model for the Northwestern European Natural Gas Markets with a Fuel Substitution Demand Function: The GaMMES Model , 2013 .

[30]  Corey Johnson,et al.  The Shale Gas Revolution: U.S. and EU Policy and Research Agendas , 2012 .

[31]  Philipp M. Richter From Boom to Bust? A Critical Look at US Shale Gas Projections , 2014 .

[32]  S. Sen,et al.  Dynamic Oligopolistic Games Under Uncertainty: A Stochastic Programming Approach , 2007 .

[33]  Claudia A. Sagastizábal,et al.  An approximation scheme for a class of risk-averse stochastic equilibrium problems , 2016, Math. Program..

[34]  A Rolling Optimisation Model of the UK Natural Gas Market , 2014 .

[35]  Javier García-González,et al.  Risk-averse profit-based optimal scheduling of a hydro-chain in the day-ahead electricity market , 2007, Eur. J. Oper. Res..

[36]  Claudia Sagastizábal,et al.  Complementarity and Game-Theoretical Models for Equilibria in Energy Markets: Deterministic and Risk-Averse Formulations , 2013 .

[37]  Yves Smeers,et al.  Energy only, capacity market and security of supply. A stochastic equilibrium analysis , 2008 .

[38]  I. Abada Les Cahiers de la Chaire Economie du Climat A stochastic generalized Nash-Cournot model for the northwestern European natural gas markets with a fuel substitution demand function : The S-GaMMES model , 2011 .

[39]  Jifang Zhuang,et al.  A Stochastic Equilibrium Model for the North American Natural Gas Market , 2005 .

[40]  Georges Zaccour,et al.  S-Adapted Equilibria in Games Played over Event Trees: An Overview , 2005 .

[41]  Kurt Jörnsten,et al.  Equilibrium prices supported by dual price functions in markets with non-convexities , 2008, Eur. J. Oper. Res..

[42]  J. Cabero,et al.  Modeling Risk Management in Oligopolistic Electricity Markets: A Benders Decomposition Approach , 2010, IEEE Transactions on Power Systems.

[43]  J. Aubin Optima and Equilibria , 1993 .

[44]  A. A. Bornaee Dealing with Investment Uncertainties in the European Natural Gas Market: A Stochastic Equilibrium Model for the European Natural Gas Market , 2012 .

[45]  Y. Smeers,et al.  Stochastic equilibrium programming for dynamic oligopolistic markets , 1987 .

[46]  Alexander Shapiro,et al.  Minimal representation of insurance prices , 2015 .

[47]  Franziska Holz,et al.  Local Consequences of Global Uncertainty: Capacity Development and LNG Trade Under Shale Gas and Demand Uncertainty and Disruption Risk , 2015 .

[48]  Pooya Soltantabar Annual Energy Outlook , 2015 .

[49]  Thomas Meyer Walle-Hansen,et al.  The effects of risk preferences on investments and trade in the natural gas market , 2014 .

[50]  David Kendrick,et al.  GAMS, a user's guide , 1988, SGNM.

[51]  Ruud Egging,et al.  Benders Decomposition for multi-stage stochastic mixed complementarity problems - Applied to a global natural gas market model , 2013, Eur. J. Oper. Res..

[52]  H. Hotelling The economics of exhaustible resources , 1931, Journal of Political Economy.

[53]  Benjamin F. Hobbs,et al.  Trading in the Downstream European Gas Market: A Successive Oligopoly Approach , 2004 .

[54]  Georg Ch. Pflug,et al.  Time-inconsistent multistage stochastic programs: Martingale bounds , 2016, Eur. J. Oper. Res..

[55]  Christian von Hirschhausen,et al.  A strategic model of European gas supply (GASMOD) , 2008 .