|
1 Motivation and Nontechnical Overview |
|
|
1 | (8) |
|
Part I Selected Theoretical Concepts |
|
|
|
|
9 | (110) |
|
|
9 | (2) |
|
|
11 | (15) |
|
|
11 | (1) |
|
2.2.2 Strategic Form Games |
|
|
11 | (10) |
|
2.2.3 Extensive Form Games |
|
|
21 | (5) |
|
|
26 | (22) |
|
|
26 | (1) |
|
2.3.2 The Cooperative Game |
|
|
27 | (2) |
|
2.3.3 Important Classes and Types of Games |
|
|
29 | (7) |
|
2.3.4 Properties of a Game |
|
|
36 | (9) |
|
2.3.5 Dual Games and the Tennessee Valley Authority |
|
|
45 | (3) |
|
2.4 Solutions Concepts for Cooperative Games |
|
|
48 | (71) |
|
|
48 | (4) |
|
2.4.2 Stable Sets: The von Neumann Morgenstern Solution |
|
|
52 | (5) |
|
|
57 | (28) |
|
2.4.4 Allocation Rules as Point-valued Solutions |
|
|
85 | (5) |
|
|
90 | (12) |
|
2.4.6 The Weighted Shapley Value |
|
|
102 | (9) |
|
2.4.7 Bargaining Solutions |
|
|
111 | (8) |
|
3 Network Theory in Economics |
|
|
119 | (40) |
|
|
119 | (1) |
|
3.2 Basic Concepts and Definitions |
|
|
119 | (5) |
|
3.3 Communication Situations |
|
|
124 | (6) |
|
3.4 Allocation Rules in Communication Situations |
|
|
130 | (4) |
|
|
134 | (7) |
|
|
141 | (18) |
|
|
141 | (1) |
|
3.6.2 Network Formation in Extensive Form |
|
|
142 | (5) |
|
3.6.3 Network Formation in Strategic Form |
|
|
147 | (4) |
|
3.6.4 On the Stability of Networks |
|
|
151 | (8) |
|
Part II Applications to Peering in Telecommunications |
|
|
|
4 Telecommunications and the Internet |
|
|
159 | (20) |
|
|
159 | (1) |
|
4.2 A Brief Refresher on Telecommunications Networks |
|
|
159 | (8) |
|
4.2.1 Architecture of a Classic PSTN |
|
|
160 | (3) |
|
|
163 | (3) |
|
4.2.3 Overlap and Convergence to Next Generation Networks |
|
|
166 | (1) |
|
4.3 Market Liberalization and Regulation |
|
|
167 | (3) |
|
4.4 Telephony on IP-Based Networks |
|
|
170 | (5) |
|
|
170 | (2) |
|
4.4.2 Classes of VoIP Firms |
|
|
172 | (1) |
|
4.4.3 The Re-Routing Problem |
|
|
172 | (3) |
|
|
175 | (4) |
|
5 A Model of Peering Among VoIP Firms |
|
|
179 | (56) |
|
|
179 | (1) |
|
5.2 The VoIP Peering Game |
|
|
179 | (24) |
|
5.2.1 Basic Setup and Assumptions |
|
|
179 | (10) |
|
5.2.2 The Characteristic Function of the Game |
|
|
189 | (4) |
|
5.2.3 The Peering Game and Its Properties |
|
|
193 | (10) |
|
5.3 Allocation of Gains from Peering |
|
|
203 | (32) |
|
|
203 | (1) |
|
5.3.2 The Core of the Peering Game |
|
|
204 | (7) |
|
5.3.3 Downsizing with the Least-Core |
|
|
211 | (2) |
|
5.3.4 The Shapley Vector in the Peering Game |
|
|
213 | (5) |
|
|
218 | (1) |
|
5.3.6 The Weighted Shapley Value |
|
|
219 | (7) |
|
5.3.7 Bargaining Solutions |
|
|
226 | (6) |
|
5.3.8 For Comparison Only |
|
|
232 | (3) |
|
6 Network Formation in Peering |
|
|
235 | (34) |
|
|
235 | (1) |
|
6.2 A Contribution-Based Allocation Procedure |
|
|
236 | (5) |
|
6.3 Bilateral Network Formation |
|
|
241 | (12) |
|
|
241 | (1) |
|
6.3.2 Network Formation in Strategic Form |
|
|
242 | (7) |
|
6.3.3 Stability of Networks |
|
|
249 | (4) |
|
6.3.4 Network Formation in Extensive Form |
|
|
253 | (1) |
|
6.4 Central Network Formation |
|
|
253 | (12) |
|
6.4.1 The Central Peering Instance |
|
|
253 | (3) |
|
6.4.2 Network Formation in Strategic Form |
|
|
256 | (4) |
|
6.4.3 Network Formation in Extensive Form |
|
|
260 | (3) |
|
6.4.4 Stability of Networks |
|
|
263 | (2) |
|
6.5 Implications for Regulators |
|
|
265 | (4) |
|
|
269 | (4) |
A A Selected Mathematical Concepts |
|
273 | (14) |
Notation |
|
287 | (4) |
References |
|
291 | |