Skip to main content
MathematicsVolume 6, Issue 9, 2018, Article number 151

Inverse Stackelberg solutions for games with many followers(Article)(Open Access)

  Save all to author list
  • aDepartment of Control systems, Krasovskii Institute of Mathematics and Mechanics, 16, S. Kovalevskoi str., Yekaterinburg, 620990, Russian Federation
  • bDepartment of Applaied Mathematics and Mechanics, Ural Federal University, 19, Mira str., Yekaterinburg, 620002, Russian Federation

Abstract

The paper is devoted to inverse Stackelberg games with many players. We consider both static and differential games. The main assumption of the paper is the compactness of the strategy sets. We obtain the characterization of inverse Stackelberg solutions and under additional concavity conditions, establish the existence theorem. © 2019 by the authors.

Author keywords

Differential gamesIncentivesInverse Stackelberg games

Funding details

Funding sponsor Funding number Acronym
Russian Foundation for Basic Research17-01-00069РФФИ

  • 1

    This research was funded by Russian Foundation for Basic Research (grant No. 17-01-00069).

  • ISSN: 22277390
  • Source Type: Journal
  • Original language: English
  • DOI: 10.3390/MATH6090151
  • Document Type: Article
  • Publisher: MDPI AG

  Averboukh, Y.; Department of Control systems, Krasovskii Institute of Mathematics and Mechanics, 16, S. Kovalevskoi str., Yekaterinburg, Russian Federation;
© Copyright 2019 Elsevier B.V., All rights reserved.

Cited by 1 document

Hall-Andersen, M. , Schwartzbach, N.I.
Game Theory on the Blockchain: A Model for Games with Smart Contracts
(2021) Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
View details of this citation
Inform me when this document is cited in Scopus:
Set citation alert Set citation feed
{"topic":{"name":"Stackelberg Game; Riccati Equation; Linear Stochastic Systems","id":55600,"uri":"Topic/55600","prominencePercentile":41.80211,"prominencePercentileString":"41.802","overallScholarlyOutput":0},"dig":"72c42dd07f51ec84771b1fe301344a5df19d9f7bb8c6c15357bf55adc9edbd95"}

SciVal Topic Prominence

Topic:
Prominence percentile: