1.4 Some Fundamental Notions of Game Theory 17
form with perfect or imperfect information (in Chapter 3 the history of a game is
defined mathematically for repeated games). Also, the prisoner’s dilemma is a static
game with imperfect information. Second, the terminology used in game theory differs
from that used in communications. In the latter, “imperfect” usually refers to the
situation where a quantity is not known perfectly (e.g., because of intrinsic estimation
errors), whereas in game theory the underlying notion is the knowledge of the history
of the game. In fact, scenarios where some quantities are estimated correspond to the
framework of games with incomplete information.
(f ) Zero-sum games are those where the sum of utilities is zero (or a constant).
The idea is that if someone wins something, someone else necessarily has to lose.
Zero-sum games have been studied extensively in the game theory literature (e.g.,
see Sorin (2002)). In this book, no specific section is dedicated to this class of games.
The main reason for this is that this special structure does not seem to appear very
often in wireless games, as indicated by the wireless literature (Special issue, 2008).
1.4 Some Fundamental Notions of Game Theory 17form with perfect or imperfect information (in Chapter 3 the history of a game isdefined mathematically for repeated games). Also, the prisoner’s dilemma is a staticgame with imperfect information. Second, the terminology used in game theory differsfrom that used in communications. In the latter, “imperfect” usually refers to thesituation where a quantity is not known perfectly (e.g., because of intrinsic estimationerrors), whereas in game theory the underlying notion is the knowledge of the historyof the game. In fact, scenarios where some quantities are estimated correspond to theframework of games with incomplete information.(f ) Zero-sum games are those where the sum of utilities is zero (or a constant).The idea is that if someone wins something, someone else necessarily has to lose.Zero-sum games have been studied extensively in the game theory literature (e.g.,see Sorin (2002)). In this book, no specific section is dedicated to this class of games.The main reason for this is that this special structure does not seem to appear veryoften in wireless games, as indicated by the wireless literature (Special issue, 2008).
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