A Game Theoretic View of Efficiency Loss in Resource Allocation

Motivated by resource allocation problems in communication networks as well as power systems, we consider the design of market mechanisms for such settings which are robust to gaming behavior by market participants. Recent results in this work are reviewed, including: (1) efficiency loss guarantees for a data rate allocation mechanism first proposed by Kelly, both when link capacities are fixed and when they are elastic; (2) characterization of mechanisms that minimize the efficiency loss, within a certain class of “simple” mechanisms; (3) extensions to general networks; and (4) mechanism design for supply function bidding in electric power systems.

[1]  Bruce E. Hajek,et al.  An efficient mechanism for allocation of a divisible good , 2004 .

[2]  A. Mas-Colell,et al.  Microeconomic Theory , 1995 .

[3]  S. Stoft Power System Economics: Designing Markets for Electricity , 2002 .

[4]  Edward J. Anderson,et al.  Using Supply Functions for Offering Generation into an Electricity Market , 2002, Oper. Res..

[5]  José R. Correa,et al.  Sloan School of Management Working Paper 4319-03 June 2003 Selfish Routing in Capacitated Networks , 2022 .

[6]  S. Stoft Power System Economics: Designing Markets for Electricity , 2002 .

[7]  R. Green,et al.  Competition in the British Electricity Spot Market , 1992, Journal of Political Economy.

[8]  William Vickrey,et al.  Counterspeculation, Auctions, And Competitive Sealed Tenders , 1961 .

[9]  John N. Tsitsiklis,et al.  Efficiency loss in a network resource allocation game: the case of elastic supply , 2004, IEEE Transactions on Automatic Control.

[10]  John N. Tsitsiklis,et al.  Efficiency loss in a network resource allocation game: the case of elastic supply , 2005, IEEE Trans. Autom. Control..

[11]  E. Maskin Nash Equilibrium and Welfare Optimality , 1999 .

[12]  T. Başar,et al.  Nash Equilibrium and Decentralized Negotiation in Auctioning Divisible Resources , 2003 .

[13]  Richard J. La,et al.  Charge-sensitive TCP and rate control in the Internet , 2000, Proceedings IEEE INFOCOM 2000. Conference on Computer Communications. Nineteenth Annual Joint Conference of the IEEE Computer and Communications Societies (Cat. No.00CH37064).

[14]  Frank Kelly,et al.  Rate control for communication networks: shadow prices, proportional fairness and stability , 1998, J. Oper. Res. Soc..

[15]  B. Hajek,et al.  Strategic Buyers in a Sum Bid Game for Flat Networks , 2004 .

[16]  Ramesh Johari,et al.  Efficiency loss in market mechanisms for resource allocation , 2004 .

[17]  N. M. Fehr,et al.  SPOT MARKET COMPETITION IN THE UK ELECTRICITY INDUSTRY , 1993 .

[18]  Richard J. Gibbens,et al.  Resource pricing and the evolution of congestion control , 1999, at - Automatisierungstechnik.

[19]  R. Baldick,et al.  Theory and Application of Linear Supply Function Equilibrium in Electricity Markets , 2004 .

[20]  M. Rothkopf,et al.  Evaluation of a Truthful Revelation Auction in the Context of Energy Markets with Nonconcave Benefits , 2000 .

[21]  J. Goodman Note on Existence and Uniqueness of Equilibrium Points for Concave N-Person Games , 1965 .

[22]  E. H. Clarke Multipart pricing of public goods , 1971 .

[23]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[24]  B. Hajek,et al.  Optimal allocation of a divisible good to strategic buyers , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[25]  Theodore Groves,et al.  Incentives in Teams , 1973 .

[26]  P. Klemperer,et al.  Supply Function Equilibria in Oligopoly under Uncertainty , 1989 .

[27]  S. Mannor,et al.  Efficiency loss in a resource allocation game: A single link in elastic supply , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[28]  Bruce Hajek,et al.  Do Greedy Autonomous Systems Make for a Sensible Internet , 2003 .

[29]  Christos H. Papadimitriou,et al.  Algorithms, Games, and the Internet , 2001, ICALP.

[30]  A. Rudkevich,et al.  Modeling Electricity Pricing in a Deregulated Generation Industry: The Potential for Oligopoly Pricing in a Poolco , 1998 .

[31]  Frank Kelly,et al.  Charging and rate control for elastic traffic , 1997, Eur. Trans. Telecommun..

[32]  Lawrence M. Ausubel,et al.  The Lovely but Lonely Vickrey Auction , 2004 .

[33]  J. Pang,et al.  Oligopolistic Competition in Power Networks: A Conjectured Supply Function Approach , 2002, IEEE Power Engineering Review.

[34]  M. Rothkopf,et al.  Why Are Vickrey Auctions Rare? , 1990, Journal of Political Economy.

[35]  R. Green,et al.  Increasing Competition in the British Electricity Spot Market , 1996 .

[36]  Jerry R. Green,et al.  Incentives in public decision-making , 1979 .

[37]  Tim Roughgarden,et al.  How bad is selfish routing? , 2002, JACM.