scholarly journals Equilibria in symmetric games: Theory and applications

2017 ◽  
Vol 12 (3) ◽  
pp. 979-1002 ◽  
Author(s):  
Andreas Hefti
Keyword(s):  
Symmetric Games ◽  
Games Theory

scholarly journals Guidance Stabilization of Satellites Using the Geomagnetic Field

2012 ◽  
Vol 2012 ◽  
pp. 1-9
Author(s):  
Francisco Miranda
Keyword(s):  
Geomagnetic Field ◽  
Technological Development ◽  
Low Cost ◽  
Low Earth Orbit ◽  
Earth Orbit ◽  
Small Satellites ◽  
Attitude Stabilization ◽  
Short Period ◽  
Low Earth Orbit Satellite ◽  
Games Theory

In the last years the small satellites have played an important role in the technological development. The attractive short period of design and low cost of them and the capacity to solve problems that are usually considered as problems to big and expensive spacecrafts lead us to study the control problem of these satellites. Active three-axis magnetic attitude stabilization of a low Earth orbit satellite is considered in this work. The control is created by interaction between the magnetic moment generated by magnetorquers mounted on the satellite body and the geomagnetic field. This problem is quite complex and difficult to solve. To overcome this difficulty guidance control is considered, where we use ε-strategies introduced by Pontryagin in the frame of differential games theory. Qualitative analysis and results of numerical simulation are presented.

Classes of Potential Games

2017 ◽  
Author(s):  
João P. Hespanha
Keyword(s):  
Resource Allocation ◽  
Nash Equilibrium ◽  
Nash Equilibria ◽  
Potential Games ◽  
Congestion Games ◽  
Fictitious Play ◽  
Resource Allocation Problem ◽  
Distributed Resource Allocation ◽  
Symmetric Games ◽  
The Cost

This chapter discusses several classes of potential games that are common in the literature and how to derive the Nash equilibrium for such games. It first considers identical interests games and dummy games before turning to decoupled games and bilateral symmetric games. It then describes congestion games, in which all players are equal, in the sense that the cost associated with each resource only depends on the total number of players using that resource and not on which players use it. It also presents other potential games, including the Sudoku puzzle, and goes on to analyze the distributed resource allocation problem, the computation of Nash equilibria for potential games, and fictitious play. It concludes with practice exercises and their corresponding solutions, along with additional exercises.

Documentary at Play

2012 ◽  
pp. 353-367 ◽  
Author(s):  
Inge Ejbye Sørensen ◽  
Anne Mette Thorhauge
Keyword(s):  
Content Analysis ◽  
Subject Matter ◽  
Theoretical Framework ◽  
Communication Tool ◽  
Cultural Issues ◽  
Military Conflicts ◽  
Games Theory ◽  
The Relationship ◽  
Historical Periods

Docu-games designate a versatile group of games that have in common an attempt to depict and reflect on aspects of reality such as military conflicts, historical periods, or contemporary political and socio-cultural issues. As such, docu-games have become a new communication tool for individuals or organizations. This chapter explores different perspectives on games as documentaries, going beyond the mere subject matter and visualization of docu-games to approach questions about simulations as statements about reality and gameplay as a tool for communicating statements about reality. Combining cognitive documentary and games theory with content analysis, the chapter offers a theoretical framework for understanding how docu-games reference the relationship between reality and game, as well as how they establish credibility in relation to these representations.

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