Recent Advances in Game Theory and Applications

1. Front Matter

   Pages i-xii

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2. Ranking Journals in Sociology, Education, and Public Administration by Social Choice Theory Methods

   • Fuad T. Aleskerov, Anna M. Boriskova, Vladimir V. Pislyakov, Vyacheslav I. Yakuba

   Pages 1-27

3. On the Position Value for Special Classes of Networks

   • Giulia Cesari, Margherita Maria Ferrari

   Pages 29-47

4. A Differential Game of a Duopoly with Network Externalities

   • Mario Alberto García-Meza, José Daniel López-Barrientos

   Pages 49-66

5. The Shapley Value as a Sustainable Cooperative Solution in Differential Games of Three Players

   • Ekaterina Gromova

   Pages 67-89

6. Impact of Propagation Information in the Model of Tax Audit

   • Elena Gubar, Suriya Kumacheva, Ekaterina Zhitkova, Olga Porokhnyavaya

   Pages 91-110

7. An Infinite Horizon Differential Game of Optimal CLV-Based Strategies with Non-atomic Firms

   • Gerasimos Lianos, Igor Sloev

   Pages 111-130

8. A Dynamic Model of a Decision Making Body Where the Power of Veto Can Be Invoked

   • Jacek Mercik, David M. Ramsey

   Pages 131-146

9. The Selten–Szidarovszky Technique: The Transformation Part

   • Pierre von Mouche

   Pages 147-164

10. Generalized Nucleoli and Generalized Bargaining Sets for Games with Restricted Cooperation

    • Natalia Naumova

    Pages 165-183

11. Occurrence of Deception Under the Oversight of a Regulator Having Reputation Concerns

    • Ayça Özdog̃an

    Pages 185-200

12. Bayesian Networks and Games of Deterrence

    • Michel Rudnianski, Utsav Sadana, Hélène Bestougeff

    Pages 201-224

13. A New Look at the Study of Solutions for Games in Partition Function Form

    • Joss Sánchez-Pérez

    Pages 225-249

14. A Model of Tacit Collusion: Nash-2 Equilibrium Concept

    • Marina Sandomirskaia

    Pages 251-269

15. Strong Coalitional Structure in an Open Vehicle Routing Game

    • Nikolay Zenkevich, Andrey Zyatchin

    Pages 271-284

This contributed volume contains fourteen papers based on selected presentations from the European Conference on Game Theory SING11-GTM 2015, held at Saint Petersburg State University in July 2015, and the Networking Games and Management workshop, held at the Karelian Research Centre of the Russian Academy of Sciences in Petrozvavodsk, Russia, also in July 2015.  These papers cover a wide range of topics in game theory, including recent advances in areas with high potential for future work, as well as new developments on classical results.  Some of these include

• A new approach to journal ranking using methods from social choice theory;
  
• A differential game of a duopoly in which two firms are competing for market share in an industry with network externalities;
  
• The impact of information propagation in the model of tax audits;
  
• A voting model in which the results of previous votes can affect the process of coalition formation in a decision-making body;
  
• The Selten-Szidarovsky technique for the analysis of Nash equilibria of games with an aggregative structure;
  
• Generalized nucleoli and generalized bargaining sets for games with restricted cooperation;
  
• Bayesian networks and games of deterrence; and
  
• A new look at the study of solutions for games in partition function form.
  

The maturity and vitality of modern-day game theory are reflected in the new ideas, novel applications, and contributions of young researchers represented in this collection.  It will be of interest to anyone doing theoretical research in game theory or working on one its numerous applications.

• Game Theory
• Dynamic Games and Applications
• Evolutionary Games and Applications
• Stochastic Games and Applications
• Market Models
• Dynamic Networks

• Department of Applied Mathematics and Control Processes, Saint Petersburg State University, Saint Petersburg, Russia

  Leon A. Petrosyan

• Institute of Applied Mathematical Research, Karelia Research Center of Russian Academy of Sciences, Petrozavodsk, Russia

  Vladimir V. Mazalov

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