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Games, Volume 14, Issue 5

October 2023 - 9 articles

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Cover Story: A new network centrality measure founded on game theoretic principles is presented in this paper for the class of hierarchical networks. We consider these networks as representations of collections of hierarchical or control relationships between the constituting players in a network. The power distribution embedded within the network can be represented through appropriately constructed TU games, and the Gately power measure is introduced as the Gately value of the two main TU representations. We investigate the properties of these TU representations and the Gately value of the TU representation, resulting in the Gately power measure. We establish when the Gately measure is a Core power gauge, investigate the relationship of the Gately with the β-measure, and construct an axiomatization of this measure. View this paper

Articles (9)

  • Article
  • Open Access
3 Citations
2,502 Views
12 Pages

7 October 2023

We exploit the public good attributes of Ganges water pollution cleanup and theoretically analyze an aggregate economy of two cities—Kanpur and Varanasi—through which the Ganges flows. Our specific objective is to study whether water poll...

  • Article
  • Open Access
1 Citations
1,978 Views
15 Pages

30 September 2023

Institutions may rely on fundamental principles, e.g., of legal philosophy, but may also have evolved according to institutional fitness, as gauged by a society’s well-being. In our stylized framework where two fundamental principles, equality...

  • Article
  • Open Access
1 Citations
1,999 Views
19 Pages

26 September 2023

We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players—constituting a hierarc...

  • Article
  • Open Access
2,485 Views
25 Pages

25 September 2023

In a previous paper, we considered several models of the parlor game baccara chemin de fer, including Model B2 (a 2×2484 matrix game) and Model B3 (a 25×2484 matrix game), both of which depend on a positive-integer parameter d, the number of decks. T...

  • Article
  • Open Access
2,664 Views
27 Pages

17 September 2023

This paper considers a two-player game where each player chooses a resource from a finite collection of options. Each resource brings a random reward. Both players have statistical information regarding the rewards of each resource. Additionally, the...

  • Article
  • Open Access
1 Citations
2,270 Views
16 Pages

The Art of Sharing Resources: How to Distribute Water during a Drought Period

  • Sebastian Cano-Berlanga,
  • María-José Solís-Baltodano and
  • Cori Vilella

25 August 2023

Water scarcity is a growing problem in many regions worldwide. According to the United Nations, around one-fifth of the world’s population lives in areas where water is scarce. Another one-quarter of the world’s population has to face wat...

  • Article
  • Open Access
1 Citations
3,605 Views
19 Pages

24 August 2023

We consider a game-theoretic model of undocumented immigration with the aim of emphasizing the strategic interaction between the different forces affecting the issue. Specifically, we analyze the strategic interaction between firms in the destination...

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Games - ISSN 2073-4336Creative Common CC BY license