By Gabriella Pigozzi, Marija Slavkovik, Leendert van der Torre (auth.), Francesca Rossi, Alexis Tsoukias (eds.)
This quantity includes the papers provided at ADT 2009, the 1st overseas convention on Algorithmic determination conception. The convention was once held in San Servolo, a small island of the Venice lagoon, in the course of October 20-23, 2009. this system of the convention integrated oral shows, posters, invited talks, and tutorials.
The convention bought sixty five submissions of which 39 papers have been accredited (9 papers have been posters). the themes of those papers diversity from computational social selection choice modeling, from uncertainty to choice studying, from multi-criteria selection making to online game theory.
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Extra info for Algorithmic Decision Theory: First International Conference, ADT 2009, Venice, Italy, October 20-23, 2009. Proceedings
The agents vote between x and x(t). If the proposed alternative wins the election, and we will present the criterion to win an election next, it replaces the current alternative for the next iteration. Else, the current alternative remains in place for the next iteration. Elections are decided using a quota system for some ﬁxed quota q: a proposal will be declared the winner iﬀ it receives at least q percent of the votes. More precisely, if n⊕ agents are voting in favour and n against a proposal (and some agents may abstain), then the proposal is accepted if n⊕ > q · (n⊕ + n ).
Xing the expected payoﬀs for each agent at each iteration, with Ut+1 = Wt+1 · Ut . Here, “iteration 1” is the ﬁnal iteration/step in a play of the game, “iteration 2” is the penultimate iteration, and so forth. These matrices allow us to study the game for all possible choices of initial current alternative. 2 Example: A Cycle with Majority Voting Consider the following problem with 3 agents and 3 states. The utility vectors are: 4, 1, 2 for state a, 2, 4, 1 for state b and 1, 3, 4 for state c.
As we allow agents to make the same proposal over and over, there is the possibility for cycles. This phenomenon is linked to the fact that the preference relation we obtain when several individual preferences are aggregated by means of the majority rule need not be transitive. , to single-peaked preferences or preferences meeting Sen’s triple-wise value restriction . When we have no control over the agents’ preferences, we need to modify the protocol to induce the agents to choose a good social alternative.