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

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

ISBN-10: 3642339956

ISBN-13: 9783642339950

ISBN-10: 3642339964

ISBN-13: 9783642339967

This ebook constitutes the refereed court cases of the fifth overseas Symposium on Algorithmic video game thought, SAGT 2012, held in Barcelona, Spain, in October 2012. The 22 revised complete papers provided including 2 invited lectures have been conscientiously reviewed and chosen from sixty five submissions. The papers current unique learn on the intersection of Algorithms and video game thought and deal with a number of present subject matters corresponding to answer recommendations in video game idea; potency of equilibria and value of anarchy; complexity periods in video game idea; computational facets of equilibria; computational points of fixed-point theorems; repeated video games; evolution and studying in video games; convergence of dynamics; coalitions, coordination and collective motion; attractiveness, suggestion and belief structures; graph-theoretic facets of social networks; community video games; cost-sharing algorithms and research; computing with incentives; algorithmic mechanism layout; computational social selection; determination idea, and pricing; public sale algorithms and research; fiscal facets of allotted computing; web economics and computational advertising.

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

Example text

Suppose that nij LH < 2 ij at least one H job from the set JHL . But then the allocation is not canonical (nor optimal) since Rule 2 of Definition 7 can be applied. Therefore we obtain niL ≥ ij JLH 2 + ij JLL , 2 niH ≤ ij JHH 2 + ij JHL . 2 (7) ij ij Second, observe that if the type of machine i flips from ti to tˆi , then |Jˆαβ ¯ | = |Jαβ | ¯ = H and H ¯ = L). Applying (7) for both ti , tˆi and using the last identity, (here L we finally obtain (2). 4 Lower Bounds and Separation Results The next theorem says that truthful-in-expectation mechanisms are provably more powerful than universally truthful mechanisms.

Thus, these The Complexity of Decision Problems about Nash Equilibria 39 decision problems about Nash equilibria have the same complexity for win-lose games as for general games. To show our results (Theorems 2 and 3), we first prove a significant milestone, which we describe. Say that a game has the positive utility property if each player has always a response to the choices of the other players that makes her utility greater than zero. , row) containing only zeros. We revisit the decision problem from [2] asking whether a given game has the same set of Nash equilibria with a gadget game, and additionally we assume that the gadget game has the positive utility property; we show that, when restricted to win-lose games, this problem is co-N P-hard for any choice of a win-lose gadget game (with the positive utility property) (Theorem 1).

For example, choosing the gadget game as a two-player win-lose game where each player has a single strategy and all utilities are 1 implies that a handful of properties are N P-hard to decide for two-player, win-lose games (Theorem 2). Choosing the gadget game as a three-player win-lose game with a single irrational Nash equilibrium implies that deciding the existence of a rational Nash equilibrium is N P-hard for three-player win-lose games (Theorem 3). 2 Framework A (strategic) game is a triple SG = [r], {Σi }i∈[r] , {Ui }i∈[r] , where: (i) [r] = {1, .

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Algorithmic Game Theory: 5th International Symposium, SAGT 2012, Barcelona, Spain, October 22-23, 2012. Proceedings by Krzysztof R. Apt, Sunil Simon (auth.), Maria Serna (eds.)

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