Download Game Theory and Learning for Wireless Networks. Fundamentals by Samson Lasaulce PDF

By Samson Lasaulce

* the 1st tutorial-style ebook that offers all of the correct thought on the correct point of rigor, for the instant communications engineer.

* Bridges the space among concept and perform by way of giving examples and case reports displaying how online game idea can remedy real-word problems.

* includes algorithms and methods to enforce video game thought in instant terminals.

Written by way of prime specialists within the box, online game concept and studying for instant Networks Covers how thought can be utilized to unravel standard difficulties in instant networks comparable to energy regulate, source allocation or medium entry keep an eye on. With the emphasis now on selling 'green' suggestions within the instant box the place strength intake is minimized, there's an extra specialize in constructing community suggestions that maximizes using the spectrum available.

With the expansion of dispensed instant networks akin to wireless and the web; the frenzy to boost advert hoc and cognitive networks has ended in a substantial curiosity in using video game thought to instant communique structures. video game concept and studying for instant Networks is the 1st finished source of its type, and is perfect for instant communications R&D engineers and graduate students.

Samson Lasaulce is a senior CNRS researcher on the Laboratory of indications and platforms (LSS) at Supélec, Gif-sur-Yvette, France. he's additionally a part-time professor within the division of Physics at École Polytechnique, Palaiseau, France.

Hamidou Tembine is a professor within the division of Telecommunications at Supélec, Gif-sur-Yvette, France.

Merouane Debbah is a professor at Supélec, Gif-sur-Yvette, France. he's the holder of the Alcatel-Lucent chair in versatile radio on the grounds that 2007.

  • The first educational variety e-book that offers the entire proper concept, on the correct point of rigour, for the instant communications engineer
  • Bridges the distance among idea and perform via giving examples and case reviews displaying how video game concept can remedy actual global source allocation difficulties
  • Contains algorithms and strategies to enforce online game thought in instant terminals

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Extra info for Game Theory and Learning for Wireless Networks. Fundamentals and Applications

Example text

The purpose of this section is to give details of certain of these useful existence theorems,1 and mention some examples where they have been applied in the literature of wireless communications. 1. 1 Better-Reply Secure and Quasi-Concave Games Before stating the corresponding theorem (developed in Reny (1999)), we first define the concepts of better-reply security and quasi-concavity (other mathematical notions, such as concavity and compactness are reviewed in the Appendices). As in Chapter 1, we will use the notation s = (s1 , .

Yes No No (Mixed NE) No CG + BRS? Yes No BRs? CG + RDTC? 1 A (non-exhaustive) methodology for proving the existence of a Nash equilibrium in strategic form games. The meaning of the used acronyms is as follows: QG (quasi-concave games), BRS (better-reply secure; Reny, 1999), PG (potential games; Monderer and Shapley, 1996), SMG (S-modular games; Milgrom and Roberts, 1990; Topkis, 1979), BRs? ), CG (compact games; Glicksberg, 1952), RDTC (recursive diagonally transferable continuity; Tian, 2009), FG (finite games; Nash, 1950).

CG (compact games; Glicksberg, 1952), RDTC (recursive diagonally transferable continuity; Tian, 2009), FG (finite games; Nash, 1950). •••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••• • • • • • • • A function ψ is quasi-concave on a convex set S if, for all α ∈ R, the upper contour set • • Uα = {x ∈ S, f (x) ≥ α} is convex. We will use the acronym QG to refer to games in which • • • utilities are quasi-concave. • Definition 48: Quasi-Concave Functions At this point, the Reny existence theorem for pure NE (Reny, 1999) can be stated.

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