| R. Gibbons, "Game theory for applied economists," Princeton Univ. Pr., June 1992. |
.... strategy exists for a single stage game, the unique Nash equilibrium of this game is for each player to play the dominant strategy; and the corresponding finitely repeated game has a unique subgame perfect outcome: i.e. the Nash equilibrium of the single stage game is played at every stage [45]. 198 For IA service users, the measurement based allocation removes any strategic play by mobile devices. Because the access point subtracts # i,S from the remaining portion of the IA class, i.e. # i,I = # i # i,S ) The only decision remaining open to the mobile device is to decide how to ....
R. Gibbons. Game Theory for Applied Economists. Princeton University Press, Princeton, NJ, 1992.
....case where all the users have a single source destination pair and in the case when there are multiple source destination pairs. Some summarizing remarks are made in the final section. 2 Game Theory In this section we briefly review the language of game theory. For more details, refer to [9] [11], and [22] One can model a game in many different ways, depending on the properties and information available to the users. In static games, the interaction between users occurs only once, while in dynamic games the interaction occurs several times. An example of a dynamic game is a repeated game ....
....words, player i s reservation cost is the highest cost player i s opponents can hold it to by any choice of We now state two key theorems in game theory for repeated games, which will be used to prove the results of this paper. For more details on the theorems and their proofs, refer to [9] [11], and [22] These theorems are about repeated games with discounting. Namely, the same static game, called the stage game, is played an infinite number of times. At the end of each stage n, each player is aware of all the actions of all the players at times 1 through n 1. The overall cost of ....
R. Gibbons. Game theory for applied economists. Princeton University Press, Princeton, N.J., 1992
....agents will not know when group commitment is expected to terminate. These situations, then, resemble group activity in an infinite time horizon because, without knowledge of a last week, agents are forced to treat every week as an intermediate week, equally far from the start as the finish (Gibbons, 1992). To simulate this infinite horizon, the FEI calculation presented in Section 3.3 is modified so that it is no longer dependent on the week in the simulation, but rather assumes that there are an infinite number of weeks left: FEI infinite (F ) ffiF ffi F ffi F : ffi ....
Gibbons, R. 1992. Game Theory for Applied Economists. Princeton University Press, Princeton, NJ.
....however, agents will not know when a group commitment is expected to terminate. These situations resemble group activity in an infinite time horizon because, without knowledge of a final week, agents are forced to treat every week as an intermediate week, equally far from the start as the finish (Gibbons, 1992). To simulate this infinite horizon, the FEI calculation is modified so that it is no longer dependent on the week in the simulation, but rather assumes that there are an infinite number of weeks left: FEI infinite (F ) ffiF ffi F ffi F : ffi ffi ffi : F = ....
Gibbons, R. 1992. Game Theory for Applied Economists. Princeton University Press, Princeton, NJ.
....functions. This leads to an interaction (coupling) among users: the allocation decision of one user potentially affects the net benefits of all other users. We model this interaction among users as a non cooperative game (for an introduction to the basic concepts of game theory we refer to [2]) We assume that R users access the network and each user behaves in a selfish way, i.e. each user is only interested in optimizing its own net benefit. In addition, we assume that users do not anticipate how their changes will affect the transmission probabilities P tr,r (i) when they optimize ....
R. Gibbons, Game Theory for Applied Economists, Princeton University Press, 1992.
....channel, and in doing so determines the set of attack channels from which the second player (attacker) can choose in the second stage. In the terminology of game theory, the watermarking mutual information games are dynamic (two stage) zero sum games of complete and perfect information [31]; see Section 3.4 for further game theoretic interpretation. 2.4 Another Extension of Costa [2] Non white noise , non Gaussian dirt ) In Section 2.2, we showed that Costa s result on writing on dirty paper [2] can be extended to situations when the unknown noise is power limited but ....
....does not exist. In this section, we more carefully examine the private version of this mutual information game from a game theoretic perspective. Recall that the encoder is trying to maximize I priv and the attacker is trying to minimize I priv . In game theoretic terminology (see e.g. [31]) this is a zerosum game with I priv as the pay o# to the first player (encoder) and I priv as the pay o# to the second player (attacker) Specifically, this mutual information game is a dynamic zero sum game of complete and perfect information. In particular, the game is not static, and thus ....
R. Gibbons, Game Theory for Applied Economists. Princeton, NJ: Princeton University Press, 1992. 72
....and tends to provoke modifications of their decisions. Therefore, the decision making processes of the airlines are mutually dependent. Economists suggest that Game Theory can be used to analyze the interdependent decision makings within air transportation (see [Evans and Kessides 1994] and [Gibbons 1992] for background on the ideas discussed below) CDM members provide and share accurate delay cancellation information and create consensus weather information in order to make better and more synchronized decisions. In addition, through Compression, airlines exchange their unusable slots at ....
Gibbons, R. (1992), Game Theory for Applied Economists, Princeton, New Jersey: Princeton University Press.
....r, and the total demand D. 3.1 Formulation as a Non Cooperative Game In this subsection, we study the case where all users simultaneously try to maximize their own net benefit. We model this situation as a non cooperative game. For an introduction to the basic concepts of game theory we refer to [4]. For the analysis, we assume that users ignore how they influence the transmission probabilities when optimizing their own net benefit. This simplifying assumption corresponds to the standard competitive price taking assumption of economic theory. In this context, it can be justified when (a) ....
R. Gibbons, Game Theory for Applied Economists, Princeton University Press, 1992.
.... With the same parameter values, if 4:3 0 6:6, then the dove wants to commit to a rule if and only if the hawk does ( 0 ) The hawk, however, wants to commit to a rule if and only if the dove does not ( 0 ) So this payoff structure produces a matching pennies game (Gibbons, 1992, p. 29ff) and therefore no pure strategy equilibrium exists (although there is one in mixed strategies) 17 anti inflation resolve of the Federal Reserve System. But continuing adherence to a policy rule was not considered as essential once inflation was contained and the Federal Reserve s ....
Gibbons, Robert, Game Theory for Applied Economists, Princeton University Press, Princeton, 1992.
....the case where a only one users optimizes the net benefit. In Subsection 4.2, 7 we study the situation where all users simultaneously try to maximize their own net benefit. We model this situation as a non cooperative game. For an introduction to the basic concepts of game theory we refer to [4]. Most results that we state in this section have already been presented in [12] whenever this is the case, we will state the results without proofs. 4.1 The Single User Problem Consider a fixed user r and assume that d = d(1) d(N) is the current aggregate allocation vector, and that P ....
R. Gibbons, Game Theory for Applied Economists, Princeton University Press, 1992.
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R. Gibbons, "Game theory for applied economists," Princeton Univ. Pr., June 1992.
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R. Gibbons, Game Theory for Applied Economists. Princeton Univ. Press, 1992.
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R.Gibbons, \Game Theory of Applied Economists", Princeton University press, 1992
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Robert Gibbons. Game Theory for Applied Economists. Princeton University Press, 1992.
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R.Gibbons, \Game Theory of Applied Economists", Princeton University press, 1992
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R. Gibbons, Game Theory for Applied Economists. Princeton, NJ: Princeton University Press, 1992.
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R. Gibbons, Game Theory for Applied Economists, Princeton University Press, 1992.
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R. Gibbons, Game Theory for Applied Economists, Princeton University Press, 1992.
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R. Gibbons, Game Theory for Applied Economists. Princeton, NJ: Princeton Univ. Press, 1992.
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R. Gibbons, Game Theory for Applied Economists (Princeton University Press, 1992). 19
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R. Gibbons, Game Theory for Applied Economists, Princeton University Press, 1992.
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R. Gibbons, Game Theory for Applied Economists, Princeton University Press, Princeton, NJ, 1992
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Gibbons, R., 1992, `Game theory for applied economists', Princeton University Press, Princeton, New Jersey.
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R. Gibbons. Game theory for applied economists. Princeton University Press, Princeton, N.J., 1992
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