The Polymatrix Gap Conjecture

2021 ◽  
Author(s):  
Pavel Naumov ◽  
Italo Simonelli
Keyword(s):  
Nash Equilibria ◽  
Strategic Games ◽  
Zero Sum Games ◽  
Polymatrix Games ◽  
Zero Sum

This paper proposes a novel way to compare classes of strategic games based on their sets of pure Nash equilibria. This approach is then used to relate the classes of zero-sum games, polymatrix, and k-polymatrix games. This paper concludes with a conjecture that k-polymatrix games form an increasing chain of classes.

scholarly journals Distributed convergence to Nash equilibria in two-network zero-sum games

Automatica ◽  
2013 ◽  
Vol 49 (6) ◽  
pp. 1683-1692 ◽  
Author(s):  
B. Gharesifard ◽  
J. Cortés
Keyword(s):  
Nash Equilibria ◽  
Zero Sum Games ◽  
Zero Sum

scholarly journals The 3P Challenge: A Serious Game for Reflecting on Partnership in Public-Private Concessions

2020 ◽  
pp. 1087724X2098158
Author(s):  
Camilo Benitez-Avila ◽  
Andreas Hartmann ◽  
Geert Dewulf
Keyword(s):  
Process Management ◽  
Project Managers ◽  
Serious Game ◽  
Public Private Partnerships ◽  
Mixed Group ◽  
Public Project ◽  
Zero Sum Games ◽  
Management Literature ◽  
Contractual Obligations ◽  
Zero Sum

Process management literature is skeptical about creating legitimacy and a sense of partnership when implementing concessional Public-Private Partnerships. Within such organizational arrangements, managerial interaction often resembles zero-sum games. To explore the possibility to (re)create a sense of partnership in concessional PPPs, we developed the “3P challenge” serious game. Two gaming sessions with a mixed group of practitioners and a team of public project managers showed that the game cycle recreates adversarial situations where players can enact contractual obligations with higher or lower levels of subjectivity. When reflecting on the gaming experience, practitioners point out that PPP contracts can be creatively enacted by managers who act as brokers of diverse interests. While becoming aware of each other stakes they can blend contractual dispositions or place brackets around some contractual clauses for reaching agreement. By doing so, they can (re)create a sense of partnership, clarity, and fairness of the PPP contract.

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