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CONVEXITY OF THE "AIRPORT PROFIT GAME" ANDk-CONVEXITY OF THE "BANKRUPTCY GAME"

Author

Listed:
  • DONGSHUANG HOU

    (Department of Applied Mathematics, University of Twente, Enschede, P.O. Box 217, 7500 AE, The Netherlands)

  • THEO DRIESSEN

    (Department of Applied Mathematics, University of Twente, Enschede, P.O. Box 217, 7500 AE, The Netherlands)

Abstract

The topic is two-fold. First, we prove the convexity of Owen's Airport Profit Game (inclusive of revenues and costs). As an adjunct, we characterize the class of 1-convex Airport Profit Games by equivalent properties of the corresponding cost function. Second, we classify the class of 1-convex Bankruptcy Games by solving a minimization problem of its corresponding gap function.

Suggested Citation

  • Dongshuang Hou & Theo Driessen, 2013. "CONVEXITY OF THE "AIRPORT PROFIT GAME" ANDk-CONVEXITY OF THE "BANKRUPTCY GAME"," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(04), pages 1-13.
    • Handle: RePEc:wsi:igtrxx:v:15:y:2013:i:04:n:s0219198913400227
    DOI: 10.1142/S0219198913400227
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    Cited by:

    1. Hou, Dongshuang & Sun, Hao & Sun, Panfei & Driessen, Theo, 2018. "A note on the Shapley value for airport cost pooling game," Games and Economic Behavior, Elsevier, vol. 108(C), pages 162-169.

    More about this item

    Keywords

    Airport profit game; bankruptcy game; convex game; k-convex game; gap function; 91A12; 91A40;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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