By Piotr Skowron, Lan Yu, Piotr Faliszewski, Edith Elkind (auth.), Berthold Vöcking (eds.)
This e-book constitutes the court cases of the sixth overseas Symposium on Algorithmic online game thought, SAGT 2013, held in Aachen, Germany, in October 2013. The 25 papers provided during this quantity have been rigorously reviewed and chosen from sixty five submissions. They conceal a variety of very important points of algorithmic online game conception, resembling answer thoughts in video game thought, potency of equilibria and the cost of anarchy, computational facets of equilibria and video game theoretical measures, repeated video games and convergence of dynamics, evolution and studying in video games, coordination and collective motion, community video games and graph-theoretic facets of social networks, vote casting and social selection, in addition to algorithmic mechanism design.
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Extra info for Algorithmic Game Theory: 6th International Symposium, SAGT 2013, Aachen, Germany, October 21-23, 2013. Proceedings
In: Proceedings of the 24th National Conference on Artificial Intelligence (AAAI), Atlanta, pp. 823–828 (July 2010) 7. : Single transferable vote resists strategic voting. International Journal of Game Theory 8, 341–354 (1991) 8. : A theory of voting equilibria. The American Political Science Review 87(1), 102–114 (1993) 9. : Strategy-proofness and Arrow’s conditions: Existence and correspondence theorems for voting procedures and social welfare functions. Journal of Economic Theory 10(2), 187–217 (1975) 10.
Convergence to equilibria of plurality voting. In: Proceedings of the 24th National Conference on Artificial Intelligence (AAAI), Atlanta, pp. 823–828 (July 2010) 7. : Single transferable vote resists strategic voting. International Journal of Game Theory 8, 341–354 (1991) 8. : A theory of voting equilibria. The American Political Science Review 87(1), 102–114 (1993) 9. : Strategy-proofness and Arrow’s conditions: Existence and correspondence theorems for voting procedures and social welfare functions.
This leads to the cases described below. Theorem 1. Consider a game G(C, a), and let ci = f (a) be the winner under a. Then a is a Nash equilibrium if and only if none of the following conditions hold. (1) |W(a)| > 1 and there exists a candidate cj ∈ W(a) and a voter p such that cj p ci and cj = top(ap ); (2) |H(a)| ≥ 1 and there exists a candidate cj ∈ H(a) and a voter p such that cj p ci , cj = top(ap ), and cj ci in the tie-breaking linear order. Remark 1. Theorem 1 still holds if we use any other deterministic tie-breaking rule instead of the lexicographic one.