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Discretization Drift in Two-Player Games
[article]
2021
arXiv
pre-print
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In particular, we identify distinct components of the discretization drift that can alter performance and in some cases destabilize the game. ...
Gradient-based methods for two-player games produce rich dynamics that can solve challenging problems, yet can be difficult to stabilize and understand. ...
Discretization Drift in Two-Player Games I. Experimental details
I.1. ...
arXiv:2105.13922v2
fatcat:qkoahpvg5bczroyano47akzi2q
Towards a rigorous framework for studying 2-player continuous games
2013
Journal of Theoretical Biology
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Recently there has been much interest in studying the outcome of games in which players may choose a strategy from the continuous interval between extremes, requiring the set of two possible choices be ...
prisoners dilemma actually models other games. c A favorite model of the continuous snow drift game also models other games. a b s t r a c t The use of 2-player strategic games is one of the most common ...
Discussion
Discrete 2-player games 2 Â 2 discrete games are those in which two players i and j play strategies x and y respectively. ...
doi:10.1016/j.jtbi.2012.12.026
pmid:23306059
fatcat:xpolrnr4erehbjj5wad3ilooye
Cooperation without Exploitation between Self-interested Agents
[chapter]
2013
Advances in Intelligent Systems and Computing
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We study how two self-interested agents that play a sequence of randomly generated normal form games, each game played once, can achieve cooperation without being exploited. ...
The results show that a small number of games is sufficient to achieve cooperation. ...
We study agents that play a sequence of non-zero-sum normal form games, each game played only once by the same two players. ...
doi:10.1007/978-3-642-33932-5_51
fatcat:zskol54cavhjppdwkye57iflci
Estimating the probability that the game of Monopoly never ends
2009
Proceedings of the 2009 Winter Simulation Conference (WSC)
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We estimate the probability that the game of Monopoly between two players playing very simple strategies never ends. ...
The simulation model is object based, and can accommodate more than two players, although we restrict attention to the two-player game in this paper. ...
In this paper we give four different simulation-based estimators of α, assuming two-player games. ...
doi:10.1109/wsc.2009.5429349
dblp:conf/wsc/FriedmanHBG09
fatcat:by34dzaxzfctldjxly7owxfrvy
Cycling Co-Evolution Resulting from Genetic Adaptation in Two-Person Zero-Sum Games
2005
Open systems & information dynamics
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We consider two populations co-evolving with fitness defined by the payoff in a twoperson zero-sum game. ...
We show that such situations lead to spontaneous and sustained oscillations iff the optimal strategy of the game is mixed. ...
Palacios, and the participants in the SDSU mathematical biology seminar for helpful discussions. ...
doi:10.1007/s11080-005-0924-1
fatcat:3s7zt2xhsfcathb5e7pcqa6bmi
Page 823 of Mathematical Reviews Vol. , Issue 85b
[page]
1985
Mathematical Reviews
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A Nash equilibrium point
is described for two cases: (i) the case in which BA~? is strictly decreasing; (ii) the case in which BA~? is increasing. Extensions to n-person games are also discussed.
S. ...
New equilibrium concepts are defined for 2-person noncooperative games in which the players are allowed to change their strategies in a move-countermove arrangement. ...
Intrinsic Noise in Game Dynamical Learning
2009
Physical Review Letters
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2009 pre-print arXiv:0910.4022v1 fatcat:jhzvcyf67bfw3lrsa5t65g7h64
Such noise is intrinsic and due to the discreteness of the dynamics in finite populations. ...
We here show that similar noise-sustained trajectories arise in game dynamical learning, where the stochasticity has a different origin: agents sample a finite number of moves of their opponents in-between ...
Consider a general symmetric two-player game, played repeatedly by players X and Y , and assume there are p pure strategies in this game. ...
doi:10.1103/physrevlett.103.198702
pmid:20365961
fatcat:wo2mbun4kzht3fvkuhtd2x4c3i
Discrete stochastic processes, replicator and Fokker-Planck equations of coevolutionary dynamics in finite and infinite populations
[article]
2008
arXiv
pre-print
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This brief tutorial review surveys a systematic approach starting from a stochastic process discrete both in time and state. ...
Finite-size fluctuations in coevolutionary dynamics arise in models of biological as well as of social and economic systems. ...
In game theory, more specific in two-player normal form games, agents 1 . . . N "play" a strategy, out of a finite set of possible pure strategies. ...
arXiv:0803.2443v1
fatcat:5kfud2l32na2hlkpmeykgwhwqq
Spatial games and the maintenance of cooperation
1994
Proceedings of the National Academy of Sciences of the United States of America
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Our earlier work, however, dealt with symmetric spatial lattices In two dimensions, deterministic winning and discrete time. ...
We have recently proposed an alternative approach to the PD, by exploring "spatial games" in which players-who are either pure cooperators, C, or pure defectors, D-Interact with ne hbors in some spatial ...
In its standard form, the PD is a game played by two players, each of whom may choose (independently but simultaneously) to cooperate, C, or defect, D, in any one encounter. ...
doi:10.1073/pnas.91.11.4877
pmid:8197150
pmcid:PMC43892
fatcat:w2rcp3jsr5cjhnecskbaxawhe4
Measuring Player's Behaviour Change over Time in Public Goods Game
[chapter]
2017
Lecture Notes in Networks and Systems
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This problem can be considered as a concept drift problem by asking the amount of change that happens to the clusters of players over a sequence of game rounds. ...
In this game players can be classified into different groups according to the level of their participation in the public good. ...
ACKNOWLEDGMENT The authors record their thanks to Simon Gaechter and Felix Kolle in the School of Economics at the University of Nottingham for providing us with data from the public goods experiment and ...
doi:10.1007/978-3-319-56991-8_81
fatcat:cj5peessijbypgnofnqfjndada
Measuring Player's Behaviour Change over Time in Public Goods Game
[article]
2016
arXiv
pre-print
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This problem can be considered as a concept drift problem by asking the amount of change that happens to the clusters of players over a sequence of game rounds. ...
In this game players can be classified into different groups according to the level of their participation in the public good. ...
ACKNOWLEDGMENT The authors record their thanks to Simon Gaechter and Felix Kolle in the School of Economics at the University of Nottingham for providing us with data from the public goods experiment and ...
arXiv:1609.02672v1
fatcat:so6hw4xc4jcuviazdzf73lppqe
The folk theorem with imperfect public information in continuous time
2016
Theoretical Economics
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We prove a folk theorem for multiplayer games in continuous time when players observe a public signal distorted by Brownian noise. ...
We study in detail the relation between behavior and mixed strategies, and the role of public randomization to move continuously across games within the same model. ...
He studies a class of continuous-time games with two players, where the public signal is distorted by Brownian noise and players' actions affect the drift rate of the signal. ...
doi:10.3982/te1687
fatcat:k2mtzfbcuzgnljkgzxfcsyeobm
Integral Reinforcement Learning for Finding Online the Feedback Nash Equilibrium of Nonzero-Sum Differential Games
[chapter]
2011
Advances in Reinforcement Learning
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players; b. a discrete time scale given by T 0 . ...
In Section 3 we describe the online method that provides the Nash equilibrium solution of the two-player nonzero-sum game. ...
doi:10.5772/13804
fatcat:lskl23zpqbar3jststb4wj4fsa
Games with Imperfectly Observable Actions in Continuous Time
2007
Econometrica
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This paper investigates a new class of 2-player games in continuous time, in which the players' observations of each other's actions are distorted by Brownian motions. ...
These games are analogous to repeated games with imperfect monitoring in which the players take actions frequently. ...
The partnership game belongs to a simple subclass of repeated games with two separate one-dimensional signals, whose drifts equal the actions of the two players. ...
doi:10.1111/j.1468-0262.2007.00795.x
fatcat:uzykidkbqnchpdkfhkb23nxvsi
Page 114 of Journal of Law Economics & Organization Vol. 8, Issue 1
[page]
1992
Journal of Law Economics & Organization
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This policy, lying on the Pareto surface of the three players, represents a compromise or equilibrium of some sort among the various interests in the statute game. ...
The enacting coalition in the statute game must, at the time of enactment, worry not only about bureaucratic discretion; they must also consider the prospect of subsequent plays of the statute game. ...
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