Pure equilibria of repeated games with public observation

1998 ◽  
Vol 27 (1) ◽  
pp. 93-109 ◽  
Author(s):  
Tristan Tomala
Keyword(s):  
Repeated Games ◽  
Pure Equilibria

Informational Smallness and Private Monitoring in Repeated Games, Second Version

2011 ◽  
Author(s):  
Richard P. McLean ◽  
Ichiro Obara ◽  
Andrew Postlewaite
Keyword(s):  
Repeated Games ◽  
Private Monitoring

scholarly journals Dynamic Quantum Games

2021 ◽  
Author(s):  
Vassili N. Kolokoltsov
Keyword(s):  
Real Time ◽  
Repeated Games ◽  
Dynamic Games ◽  
Quantum Control ◽  
Diffusion Processes ◽  
Natural Class ◽  
Quantum Games ◽  
Technical Problems ◽  
Modern Development ◽  
Starting Point

AbstractQuantum games represent the really twenty-first century branch of game theory, tightly linked to the modern development of quantum computing and quantum technologies. The main accent in these developments so far was made on stationary or repeated games. In this paper, we aim at initiating the truly dynamic theory with strategies chosen by players in real time. Since direct continuous observations are known to destroy quantum evolutions (so-called quantum Zeno paradox), the necessary new ingredient for quantum dynamic games must be the theory of non-direct observations and the corresponding quantum filtering. Apart from the technical problems in organizing feedback quantum control in real time, the difficulty in applying this theory for obtaining mathematically amenable control systems is due partially to the fact that it leads usually to rather non-trivial jump-type Markov processes and/or degenerate diffusions on manifolds, for which the corresponding control is very difficult to handle. The starting point for the present research is the remarkable discovery (quite unexpected, at least to the author) that there exists a very natural class of homodyne detections such that the diffusion processes on projective spaces resulting by filtering under such arrangements coincide exactly with the standard Brownian motions (BM) on these spaces. In some cases, one can even reduce the process to the plain BM on Euclidean spaces or tori. The theory of such motions is well studied making it possible to develop a tractable theory of related control and games, which can be at the same time practically implemented on quantum optical devices.

scholarly journals Urgency-aware Optimal Routing in Repeated Games through Artificial Currencies

2021 ◽  
Author(s):  
Mauro Salazar ◽  
Dario Paccagnan ◽  
Andrea Agazzi ◽  
W.P.M.H. (Maurice) Heemels
Keyword(s):  
Repeated Games ◽  
Optimal Routing
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