Phenomena in inverse Stackelberg games, part 1: Static problems

Phenomena in inverse Stackelberg games, part 1: Static problems

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Article ID: iaor200972003
Country: United States
Volume: 143
Issue: 3
Start Page Number: 589
End Page Number: 600
Publication Date: Dec 2009
Journal: Journal of Optimization Theory and Applications
Authors:
Keywords: Stackelberg game
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.

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