Algorithms, games, and the internet

If the Internet is the next great subject for Theoretical Computer Science to model and illuminate mathematically, then Game Theory, and Mathematical Economics more generally, are likely to prove useful tools. In this talk I survey some opportunities and challenges in this important frontier.

[1]  Andrew Chi-Chih Yao,et al.  Probabilistic computations: Toward a unified measure of complexity , 1977, 18th Annual Symposium on Foundations of Computer Science (sfcs 1977).

[2]  Prabhakar Raghavan,et al.  Probabilistic construction of deterministic algorithms: Approximating packing integer programs , 1986, 27th Annual Symposium on Foundations of Computer Science (sfcs 1986).

[3]  Richard W. Cottle,et al.  Linear Complementarity Problem. , 1992 .

[4]  Mihalis Yannakakis,et al.  On complexity as bounded rationality (extended abstract) , 1994, STOC '94.

[5]  Xiaotie Deng,et al.  On the Complexity of Cooperative Solution Concepts , 1994, Math. Oper. Res..

[6]  Christos H. Papadimitriou,et al.  On the Complexity of the Parity Argument and Other Inefficient Proofs of Existence , 1994, J. Comput. Syst. Sci..

[7]  Ariel Rubinstein,et al.  A Course in Game Theory , 1995 .

[8]  Eric J. Friedman,et al.  Learning and Implementation on the Internet , 1997 .

[9]  Jon M. Kleinberg,et al.  Segmentation problems , 2004, JACM.

[10]  Noam Nisan,et al.  Algorithmic mechanism design (extended abstract) , 1999, STOC '99.

[11]  Christos H. Papadimitriou,et al.  Worst-case equilibria , 1999 .

[12]  Noam Nisan,et al.  Algorithms for Selfish Agents , 1999, STACS.

[13]  Noam Nisan,et al.  Algorithms for selfish agents mechanism design for distributed computation , 1999 .

[14]  Michalis Faloutsos,et al.  On power-law relationships of the Internet topology , 1999, SIGCOMM '99.

[15]  Jon Kleinberg,et al.  Authoritative sources in a hyperlinked environment , 1999, SODA '98.

[16]  Tim Roughgarden,et al.  How bad is selfish routing? , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.

[17]  Joan Feigenbaum,et al.  Sharing the cost of muliticast transmissions (preliminary version) , 2000, STOC '00.

[18]  Yishay Mansour,et al.  Nash Convergence of Gradient Dynamics in General-Sum Games , 2000, UAI.

[19]  Richard M. Karp,et al.  Optimization problems in congestion control , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.

[20]  Eli Upfal,et al.  Stochastic models for the Web graph , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.

[21]  Noam Nisan,et al.  Algorithmic Mechanism Design , 2001, Games Econ. Behav..

[22]  Frank Kelly,et al.  Mathematical Modelling of the Internet , 2001 .

[23]  Paul G. Spirakis,et al.  The price of selfish routing , 2001, STOC '01.

[24]  Joan Feigenbaum,et al.  Sharing the Cost of Multicast Transmissions , 2001, J. Comput. Syst. Sci..

[25]  C. Papadimitriou,et al.  On the value of private information , 2001 .