New PDF release: Internet and Network Economics: 6th International Workshop,

By Karthik V. Aadithya, Balaraman Ravindran, Tomasz P. Michalak, Nicholas R. Jennings (auth.), Amin Saberi (eds.)

ISBN-10: 3642175724

ISBN-13: 9783642175725

This e-book constitutes the refereed lawsuits of the sixth foreign Workshop on web and community Economics, WINE 2010, held in Stanford, united states, in December 2010. The fifty two revised complete papers offered have been rigorously reviewed and chosen from ninety five submissions. The papers are geared up in 33 standard papers and 19 brief papers.

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Extra resources for Internet and Network Economics: 6th International Workshop, WINE 2010, Stanford, CA, USA, December 13-17, 2010. Proceedings

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Vn+1 and n edges ei = {vi , vi+1 }, 1 ≤ i ≤ n, cf. Figure 3. Associated with each vi , 1 ≤ i ≤ n, is one agent that wishes to connect this vertex to the source s = vn+1 . Each edge ei , 1 ≤ i ≤ n, has cost 1. Additionally there is an edge e0 = {v1 , vn+1 } of cost 1 + , where > 0 is an arbitrarily small constant. The unique optimal solution consists of the set of edges ei , 1 ≤ i ≤ n. In this solution, agent 1 pays a cost of H(n). On the other hand choosing edge e0 , agent 1 incurs a cost of only 1 + .

Consider any optimal solution and let EOP T be the corresponding edge set. Moreover, let S be the combination of strategies in which every agent i connects its terminal ti to the common source s using only edges of EOP T . In order to prove the theorem we show that if any non-empty coalition I of at most c agents changes strategy, then there exist an agent i ∈ I whose cost before and after strategy change satisfies α1 costi (S) ≤ costi (SI , S−I ), where α = 2c(ln(n/c) + 2). If a coalition I contains an agent i whose terminal ti is equal to the source s, then there is nothing to show because for this agent costi (S) = 0 and the desired inequality trivially holds.

2 Results We analyze the utilitarian and egalitarian Price of Proportionality, Price of EnvyFreeness and Price of Equitability for divisions with connected pieces. We provide tight bounds (in some cases, up to an additive constant factor) for all six resulting cases. The results are summarized in Table 1; the last row presents the relevant previous results of [CKKK09] for comparison. The upper bounds mean that the respective price of fairness of any instance in the class is never greater than the bound; the lower bounds mean that there exists an example of an instance with at least this price of fairness.

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Internet and Network Economics: 6th International Workshop, WINE 2010, Stanford, CA, USA, December 13-17, 2010. Proceedings by Karthik V. Aadithya, Balaraman Ravindran, Tomasz P. Michalak, Nicholas R. Jennings (auth.), Amin Saberi (eds.)


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