Phenomena in Inverse Stackelberg Games, Part 1: Static Problems

G. J. Olsder ()
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G. J. Olsder: Delft University of Technology

Journal of Optimization Theory and Applications, 2009, vol. 143, issue 3, No 9, 589-600

Abstract: Abstract Games are considered in which the role of the players is a hierarchical one. Some players behave as leaders, others as followers. Such games are named after Stackelberg. In the current paper, a special type of these games is considered, known in the literature as inverse Stackelberg games. In such games, the leader (or: leaders) announces his strategy as a mapping from the follower (or: followers) decision space into his own decision space. Arguments for studying such problems are given. The routine way of analysis, leading to a study of composed functions, is not very fruitful. Other approaches are given, mainly by studying specific examples. Phenomena in problems with more than one leader and/or follower are studied within the context of the inverse Stackelberg concept. As a side issue, expressions like “two captains on a ship” and “divide and conquer” are given a mathematical foundation.

Keywords: Games; Transaction costs; Stackelberg games; Inverse Stackelberg games; Composed functions (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (14)

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DOI: 10.1007/s10957-009-9573-9

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