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Page 4836 of Mathematical Reviews Vol. , Issue 84k [page]

1984 Mathematical Reviews  
The paper deals with infinitely repeated two-person zero-sum games with incomplete information.  ...  Marchal (Athis-Mons) Forges, F. 84k:93062 Infinitely repeated games of incomplete information: symmetric case with random signals. Internat. J. Game Theory 11 (1982), no. 3-4, 203-213.  ... 

Page 6265 of Mathematical Reviews Vol. , Issue 2002H [page]

2002 Mathematical Reviews  
Baston (Southampton) 2002h:91023 91A20 49)40 Laraki, Rida (F-POLYP-EC; Paris) Variational inequalities, system of functional equations, and incomplete information repeated games.  ...  An equiv- alence of the variational inequalities and the pair of functional equations in a general framework is shown. Valery Y.  ... 

A Continuous Time Approach for the Asymptotic Value in Two-Person Zero-Sum Repeated Games

Pierre Cardaliaguet, Rida Laraki, Sylvain Sorin
2012 SIAM Journal of Control and Optimization  
We show existence for incomplete information games, splitting games and absorbing games.  ...  We show existence for incomplete information games, splitting games and absorbing games.  ...  Repeated Games with Incomplete Information Let us briefly recall the structure of repeated games with incomplete information: at the beginning of the game, the pair (k, ℓ) is chosen at random according  ... 
doi:10.1137/110839473 fatcat:w7hfo23ld5abpn5bcsxbo4asim

Page 6366 of Mathematical Reviews Vol. , Issue 95j [page]

1995 Mathematical Reviews  
Soc. 119 (1993), no. 3, 849-856; MR 93m:47065], and called the “diagonal method”, are applied in the present paper to the study of random generalized games and random variational inequalities.  ...  One finds a description of a dynamical system (a finite-dimensional ordi- nary differential equation, with players’ controls being restricted to finite-dimensional compacta), and a definition of a positional  ... 

Page 5288 of Mathematical Reviews Vol. , Issue 92i [page]

1992 Mathematical Reviews  
A variational inequality approach to trip distribution games. Systems Anal. Modelling Simulation 8 (1991), no. 9, 683-687.  ...  This game is investigated as a game with incomplete informa- tion using the Harsanyi-Selten method of e-uniformly perturbed games [J. C. Harsanyi and R.  ... 

On repeated zero-sum games with incomplete information and asymptotically bounded values [article]

Fedor Sandomirskiy
2016 arXiv   pre-print
We consider repeated zero-sum games with incomplete information on the side of Player 2 with the total payoff given by the non-normalized sum of stage gains.  ...  We call this property the piecewise property, and it says that there exists an optimal strategy of Player 2 that is piecewise-constant as a function of a prior distribution p.  ...  Let Γ N be an almost-fair repeated game with incomplete information and finite I, J, and K.  ... 
arXiv:1509.01727v2 fatcat:wflmfjeg2jefxlhi4cops5nbbm

Page 8965 of Mathematical Reviews Vol. , Issue 99m [page]

1999 Mathematical Reviews  
In a zero-sum repeated game with incomplete information on one side, the value of the game may be written as a function of the 90D Game theory 99m:90164 prior distribution, p, over player types.  ...  Convergence and some peculiarities of the scheme in connection with variational inequalities are shown. R.  ... 

Page 514 of Mathematical Reviews Vol. , Issue 93a [page]

1993 Mathematical Reviews  
The difference between the value of the functional (the discounted loss caused by incomplete information and strategy) corresponding to this strategy and the value of the functional corresponding to the  ...  functionals and linear singular systems.  ... 

On Repeated Zero-Sum Games with Incomplete Information and Asymptotically Bounded Values

Fedor Sandomirskiy
2017 Dynamic Games and Applications  
We consider repeated zero-sum games with incomplete information on the side of Player 2 with the total payoff given by the non-normalized sum of stage gains.  ...  We call this property the trigger property and it says that there exists an optimal strategy of Player 2 that is piecewise-constant as a function of a prior distribution p.  ...  Acknowledgements I am thankful to Vita Kreps for many inspiring discussions and her care and to Misha Gavrilovich for a lot of suggestions that significantly improved presentation of the results.  ... 
doi:10.1007/s13235-017-0217-7 fatcat:552z7wnb4jblxnbq6fzmcjwqe4

Zero-Sum Repeated Games: Recent Advances and New Links with Differential Games

Sylvain Sorin
2010 Dynamic Games and Applications  
Topics include: approachability, asymptotic analysis: recursive formula and operator approach, dual game and incomplete information, uniform approach.  ...  The purpose of this survey is to describe some recent advances in zero-sum repeated games and in particular new connections to differential games.  ...  The Dual of a Game with Incomplete Information The Dual Game Consider a two-person zero-sum game with incomplete information on one side defined by sets of actions S and T , a finite parameter space  ... 
doi:10.1007/s13235-010-0006-z fatcat:223kubnjifdlxayibm54yfmkcu

Page 1733 of Mathematical Reviews Vol. , Issue 83d [page]

1983 Mathematical Reviews  
Weber, Topologies on information and strategies in games with incomplete information (pp. 89-96); Bezalel Peleg, Monotonicity properties of social choice correspondences (pp. 97-101); Yair Tauman, Values  ...  Game theory: Wulf Albers, Some solution concepts based on power potentials (pp. 3-13); Walter Armbruster, Repeated games with unknown utility functions (pp. 15—26); E. E.  ... 

Cooperation Under Fear, Greed and Prison: The Role of Redistributive Inequality in the Evolution of Cooperation

César Mantilla
2012 Social Science Research Network  
Using two different frameworks, classical game theory and evolutionary game theory, is shown that the magnitude and the direction of these inequalities have an effect over the decision of cooperation.  ...  Abstract This work offers an analysis of cooperation dilemmas making emphasis in the role of the unequal outcomes.  ...  function of the magnitude and direction of inequality.  ... 
doi:10.2139/ssrn.2104254 fatcat:pmtxmke43bcc7iwrxar4uzcwgq

Dynkin games with incomplete and asymmetric information [article]

Tiziano De Angelis, Erik Ekström, Kristoffer Glover
2020 arXiv   pre-print
We study the value and the optimal strategies for a two-player zero-sum optimal stopping game with incomplete and asymmetric information.  ...  Then we provide a general verification result which allows us to find the value of the game and players' optimal strategies by solving suitable quasi-variational inequalities with some non-standard constraints  ...  Finally, to calculate the value of information for the game, we end the article with an informal discussion on the case with symmetric and incomplete information.  ... 
arXiv:1810.07674v5 fatcat:4bemloppknaldlyjcuznctc5im

Chapter 5 Repeated games of incomplete information: Zero-sum [chapter]

Shmuel Zamir
1992 Handbook of Game Theory with Economic Applications  
the difference between repeated games with incomplete information and stochastic games, in which the value always exists.  ...  Most of the work on repeated games of incomplete information was done for two-person, zero-sum games, which is also the scope of this chapter.  ... 
doi:10.1016/s1574-0005(05)80008-6 fatcat:v4xnhaesojaa3lz7xbsrqzhvlq

The value of two-person zero-sum repeated games with lack of information on both sides

Jean-Francois Mertens, Shmuel Zamir
1971 International Journal of Game Theory  
We consider repeated two-person zero-sum games in which each player has only partial information about a chance move that takes place at the beginning of the game.  ...  Under some conditions on the information pattern it is proved that lira v, exists, v, being the value of the game with n repeti-n~c~ tions.  ...  AUMANN, who spent hours introducing him to this subject, in a long series of conversations, in the spring and summer, 1969. He wishes, here, to express all his thanks.  ... 
doi:10.1007/bf01753433 fatcat:gnkidrklynbh3irrzmlfnpndjy
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