Algorithmic Game Theory: 5th International Symposium, SAGT by Krzysztof R. Apt, Sunil Simon (auth.), Maria Serna (eds.)

By Krzysztof R. Apt, Sunil Simon (auth.), Maria Serna (eds.)

This ebook constitutes the refereed court cases of the fifth foreign Symposium on Algorithmic online game idea, SAGT 2012, held in Barcelona, Spain, in October 2012. The 22 revised complete papers offered including 2 invited lectures have been conscientiously reviewed and chosen from sixty five submissions. The papers current unique study on the intersection of Algorithms and video game thought and tackle a number of present issues comparable to answer options in online game idea; potency of equilibria and cost of anarchy; complexity sessions in video game conception; computational elements of equilibria; computational facets of fixed-point theorems; repeated video games; evolution and studying in video games; convergence of dynamics; coalitions, coordination and collective motion; recognition, suggestion and belief structures; graph-theoretic features of social networks; community video games; cost-sharing algorithms and research; computing with incentives; algorithmic mechanism layout; computational social selection; choice thought, and pricing; public sale algorithms and research; financial elements of dispensed computing; web economics and computational advertising.

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Additional resources for Algorithmic Game Theory: 5th International Symposium, SAGT 2012, Barcelona, Spain, October 22-23, 2012. Proceedings

Example text

For the case of identical/uniform/unrestricted given partitions, there exist prices P such that the mechanism (A, P ) is truthful (in expectation) iff A is monotone (in expectation). Throughout the paper, we refer to the quantity niL (x, t) − niH (x, t) as the unbalance of machine i. We also refer to the quantity in (2) as the overall unbalance of machine i. For any instance t, for any two machines i and j, and for any α, β ∈ {L, H}, we consider the subset of jobs whose execution time is α on ij (t) := {h : tih = α and tjh = β}.

The last problem in the list is N P-complete even for three-player games [2] — recall that all Nash equilibria of a two-player game are rational, so that the problem is trivial for two-player games. We emphasize that the polynomial time reduction (Nash-homomorphism) from two-player games with rational utilities to two-player win-lose games [1] does not imply that the decision problems about Nash equilibria for two-player win-lose games have the same complexity as for two-player general games. This is because the Nash-homomorphism provides no guarantee that any property of the Nash equilibrium of the two-player win-lose game is preserved in the returned (by the map) Nash equilibrium of the general two-player game.

Christodoulou, and P. Penna Identical Partitions In this section we consider the case of machines with identical partitions and give a general (“black box”) method to convert scheduling algorithms into mechanisms that are truthful-in-expectation. The main result of this section is summarized by the following theorem. Theorem 3. Every deterministic algorithm A for scheduling jobs on machines with identical partitions can be turned into a randomized mechanism M which is truthful in expectation and such that the allocation returned by M has makespan not worse than the one returned by A.

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