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

Dongshuang Hou () and Theo Driessen ()
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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

International Game Theory Review (IGTR), 2013, vol. 15, issue 04, 1-13

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.

Keywords: Airport profit game; bankruptcy game; convex game; k-convex game; gap function; 91A12; 91A40 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219198913400227

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