by sfab358 | Apr 10, 2019
Speaker: Mariya Teteryatnikova (Department of Economics at the National Research University Higher School of Economics, Moscow)
Paper to be presented: “On the Existence of Perfect Pairwise Stable Weighted Networks” joint with Philippe Bich (Paris School of Economics and University of Paris 1 Pantheon-Sorbonne)
Date, Time and Venue: Monday, 6 May 2019, 14:00-15:00, 260-6115 [Business School Building, Level 6]
Abstract: We introduce a new concept of stability in network formation, perfect pairwise stability, and prove that a perfect pairwise stable network exists under very general assumptions. Perfect pairwise stability strictly refines the pairwise stability concept of Jackson and Wolinsky (1996), by transposing the idea of “trembling hand” perfection from non-cooperative games to the framework of cooperative pairwise network formation. The existence result extends that of Bich and Morhaim (2017). We prove that our concept is distinct from strong pairwise stability, a refinement concept introduced by Jackson and Van den Nouweland (2005). We also introduce a sequential framework for network formation and define a natural concept of sequential pairwise stability. By analogy with non-cooperative games, we prove that the sequential framework can be associated with a static one, and that the sequential pairwise stable networks correspond exactly to perfect pairwise stable networks in the static framework.
Short Bio: Mariya Teteryatnikova received her PhD in 2010 from the European University Institute in Florence, Italy. After that, she worked for six years as an Assistant professor at the University of Vienna and for another year at WU- Vienna University of Economics and Business. Since September 2017 she holds a position of an Assistant professor at Higher School of Economics in Moscow and since July 2018 – also a position of a Research associate at WU in Vienna. Her main research fields are (mostly applied) game and network theory and industrial organization.
Everyone Welcome!
by sfab358 | Mar 29, 2019
Speaker: Zach Weber (University of Otago)
Title: “Non-classical logic and inconsistent mathematics”
Date, Time and Venue: Monday, 1 April 2019, 14:00-15:00, 260-6115 [Business School Building, Level 6]
Abstract: Faced with logical paradoxes like the liar and the sorites, there are several options, including classical and non-classical (paracomplete and paraconsistent) approaches. I will briefly review some costs and benefits of each. Then I will mainly focus on the paraconsistent approach, using logics that allow for some contradictions. I will outline how paraconsistent logic may be applied in the foundations of mathematics, especially in naive set theory. I’ll conclude with a brief discussion of the wider inconsistent mathematics program as it stands today.
Everyone welcome!
by sfab358 | Mar 12, 2019
Speaker: Patrick Girard (University of Auckland)
Title: “Mini-Series on Paradoxes”
Date, Time and Venue: Monday, [to start with] 11 and 25 March 2019, 14:00-15:00, 260-6115 [Business School Building, Level 6]
Abstract: Patrick will offer 2-3 seminars on paradoxes. He will start with historical/conceptual paradoxes (about God, being bald, and there being no change). He will then talk about modern logical paradoxes that involve truth, set membership and conditionals. He will end with paradoxes involving probability. The journey will take you from a conceptual/historical understanding of paradoxes in philosophy, go via problems in mathematics and logic, and end with more specific paradoxes behind the kind of mathematics that CMSS members are using in social choice theory and the like.
Everyone welcome!
by sfab358 | May 21, 2018
Speaker: Addison Pan (University of Auckland)
Title: “A Note on The Pivotality Condition”
Date, Time and Venue: Wednesday, 23 May 2018, 14:00-15:00, 260-319 [Business School Building, Level 3]
Abstract: This note provides simple derivations of the equilibrium conditions for different voting games with incomplete information. In the standard voting game à la Austen-Smith and Banks (1996), voters update their beliefs only based on the probability that they are pivotal. However, in voting games such as those in Ellis (2016) and Fabrizi and Pan (2017), given a closed and convex set of priors, the ambiguous averse voters select the prior from this set in a strategy-contingent manner. Therefore, it is shown in this paper that in ambiguous voting games the conditional probability of being pivotal alone is not sufficient to determine each voter’s best response.
Everyone welcome!
by sfab358 | May 6, 2018
Speaker: Arkadii Slinko (University of Auckland)
Title: “What Do Multiwinner Voting Rules Do? Some Simulations Over the Two-Dimensional Euclidean Domain”, joint work with Edith Elkind, Piotr Faliszewski, Jean-Francois Laslier, Piotr Skowron and Nimrod Talmon
Date, Time and Venue: Wednesday, 9 May 2018, 14:00-15:00, 260-319 [Business School Building, Level 3]
Abstract: We visualize aggregate outputs of several multiwinner voting rules—SNTV, STV, Bloc, k-Borda, Monroe, Chamberlin–Courant, and PAV—for elections generated according to the two-dimensional Euclidean model. We consider three applications of multiwinner voting, namely, parliamentary elections, portfolio/movie selection, and shortlisting, and we use our results to understand which of these rules seem to be best suited for each application. In particular, we show that STV (one of the few nontrivial rules used in real high-stake elections) exhibits excellent performance, whereas the Bloc rule (also often used in practice) performs poorly. We also visualise three approximation algorithms for the computationally hard Chamberlin–Courant and Monroe rules. Our results show that the best approximation algorithms on offer (one of which is introduced in this paper) can be safely used instead of the original rules themselves.
Everyone welcome!
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