Simple and efficient leader election in the full information model
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
Automated Negotiation and Decision Making in Multiagent Environments
EASSS '01 Selected Tutorial Papers from the 9th ECCAI Advanced Course ACAI 2001 and Agent Link's 3rd European Agent Systems Summer School on Multi-Agent Systems and Applications
Every decision tree has an in.uential variable
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
Some topics in analysis of boolean functions
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Measuring the interactions among variables of functions over the unit hypercube
MDAI'10 Proceedings of the 7th international conference on Modeling decisions for artificial intelligence
Almost isoperimetric subsets of the discrete cube
Combinatorics, Probability and Computing
Running mixnet-based elections with Helios
EVT/WOTE'11 Proceedings of the 2011 conference on Electronic voting technology/workshop on trustworthy elections
Approximating the influence of monotone boolean functions in O(√n) query complexity
APPROX'11/RANDOM'11 Proceedings of the 14th international workshop and 15th international conference on Approximation, randomization, and combinatorial optimization: algorithms and techniques
A Quantitative Version of the Gibbard-Satterthwaite Theorem for Three Alternatives
SIAM Journal on Computing
Approximating the Influence of Monotone Boolean Functions in O(√n) Query Complexity
ACM Transactions on Computation Theory (TOCT)
Candidate weak pseudorandom functions in AC0 ○ MOD2
Proceedings of the 5th conference on Innovations in theoretical computer science
Hi-index | 0.00 |
The power of players in a collective decision process is a central issue in Mathematical Economics and Game Theory. Similar issues arise in Computer Science in the study of distributed, fault tolerant computations when several processes, some perhaps faulty, have to reach agreement. In the present article we study voting schemes which are relatively immune to the presence of unfair players. In particular, we discuss how to perform collective coin flipping which is only slightly biased despite the presence of unfair players. Mathematically this corresponds to problems concerning the minima of Banzhaf values in certain n -person games. These are measures of power studied in Game Theory. It is quite remarkable that while dictatorial voting games are, of course, the most sensitive to the presence of unfair players, some voting schemes that we propose here are significantly more robust than majority voting. Coin flipping was selected as a study case because of its simplicity and because collective coin flipping is widely used in randomized algorithms for distributed computations. It is our feeling that Game Theory has much to contribute to Computer Science and we are sure that further applications will be found.