Modeling strategic investment decisions in spatial markets

Markets for natural resources and commodities are often oligopolistic. In these markets, production capacities are key for strategic interaction between the oligopolists. We analyze how different market structures influence oligopolistic capacity investments and thereby affect supply, prices and rents in spatial natural resource markets using mathematical programming models. The models comprise an investment stage and a supply stage in which players compete in quantities. We compare three models, a perfect competition and two Cournot models, in which the product is either traded through long-term contracts or on spot markets in the supply stage. Tractability and practicality of the approach are demonstrated in an application to the international metallurgical coal market. Results may vary substantially between the different models. The metallurgical coal market has recently made progress in moving away from long-term contracts and more towards spot market-based trade. Based on our results, we conclude that this regime switch is likely to raise consumer rents but lower producer rents, while the effect on total welfare is negligible.

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

[2]  Sonja Wogrin,et al.  Capacity Expansion Equilibria in Liberalized Electricity Markets: An EPEC Approach , 2013, IEEE Transactions on Power Systems.

[3]  Daniel Huppmann Endogenous production capacity investment in natural gas market equilibrium models , 2013, Eur. J. Oper. Res..

[4]  A. Conejo,et al.  Pool Strategy of a Producer With Endogenous Formation of Locational Marginal Prices , 2009, IEEE Transactions on Power Systems.

[5]  C. Growitsch,et al.  Supply Disruptions and Regional Price Effects in a Spatial Oligopoly - An Application to the Global Gas Market , 2014 .

[6]  Michael C. Ferris,et al.  GUSS: Solving Collections of Data Related Models Within GAMS , 2012 .

[7]  Patrick T. Harker,et al.  A variational inequality approach for the determination of oligopolistic market equilibrium , 1984, Math. Program..

[8]  L. Hogan,et al.  Non-competitive market behaviour in the international coking coal market , 1999 .

[9]  Reinhard Selten Spieltheoretische Behandlung eines Oligopolmodells mit Nachfrageträgheit , 2016 .

[10]  S. Granville,et al.  Strategic bidding under uncertainty: a binary expansion approach , 2005, IEEE Transactions on Power Systems.

[11]  Franziska Holz,et al.  Crude Oil Market Power—A Shift in Recent Years? , 2012 .

[12]  B. Bowden A HISTORY OF THE PAN‐PACIFIC COAL TRADE FROM THE 1950S TO 2011: EXPLORING THE LONG‐TERM EFFECTS OF A BUYING CARTEL , 2012 .

[13]  Steven A. Gabriel,et al.  Solving discretely-constrained MPEC problems with applications in electric power markets , 2010 .

[14]  Larry S. Karp,et al.  Dynamically consistent oil import tariffs , 1992 .

[15]  Peter W. Glynn,et al.  A Complementarity Framework for Forward Contracting Under Uncertainty , 2011, Oper. Res..

[16]  B. Hobbs,et al.  Complementarity Modeling in Energy Markets , 2012 .

[17]  Yves Smeers,et al.  The EU regulation on cross-border trade of electricity: A two-stage equilibrium model , 2007, Eur. J. Oper. Res..

[18]  Quantity-setting Oligopolies in Complementary Input Markets - the Case of Iron Ore and Coking Coal , 2014 .

[19]  G. G. Judge,et al.  Equilibrium among Spatially Separated Markets: A Reformulation , 1964 .

[20]  M. Paulus,et al.  Market Structure Scenarios in International Steam Coal Trade , 2012 .

[21]  F. Holz,et al.  Modeling and Analysis of the International Steam Coal Trade , 2010 .

[22]  Jian Yao,et al.  Two-settlement electricity markets with price caps and Cournot generation firms , 2007, Eur. J. Oper. Res..

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

[24]  Jian Yao,et al.  Modeling and Computing Two-Settlement Oligopolistic Equilibrium in a Congested Electricity Network , 2006, Oper. Res..

[25]  L. Karp,et al.  Time-Consistent Oil Import Tariffs , 1989 .

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

[27]  Patrick T. Harker,et al.  Alternative Models of Spatial Competition , 1986, Oper. Res..

[28]  Johannes Trüby Strategic behaviour in international metallurgical coal markets , 2013 .

[29]  Frederic H. Murphy,et al.  Generation Capacity Expansion in Imperfectly Competitive Restructured Electricity Markets , 2005, Oper. Res..

[30]  P. Zusman Spatial and temporal price and allocation models , 1971 .

[31]  C. Kolstad,et al.  Imperfectly Competitive Equilibria in International Commodity Markets , 1986 .

[32]  David S. Abbey,et al.  The effect of market conduct on international steam coal trade , 1984 .

[33]  José Fortuny-Amat,et al.  A Representation and Economic Interpretation of a Two-Level Programming Problem , 1981 .

[34]  Steven A. Gabriel,et al.  A Mixed Complementarity-Based Equilibrium Model of Natural Gas Markets , 2005, Oper. Res..

[35]  The global markets for coking coal and iron ore — Complementary goods, integrated mining companies and strategic behavior , 2015 .