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!

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!

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!

Speaker: Matthew Ryan (AUT)

Title: The Jury Paradox

Date, Time and Venue: Wednesday, 7 March 2018, 14:00-15:00, 260-319 [Business School Building, Level 3]

Abstract: This talk is a sequel to last year’s discussion of Condorcet’s Jury Theorem, which is a classic result on the “wisdom of crowds”.  Timothy Feddersen and Wolfgang Pesendorfer (Am. Pol. Sci. Rev., 1998) showed that raising the hurdle for conviction (e.g., from simple majority to unanimity) may increase the probability of convicting an innocent defendant, even when all jurors regard this error as worse than that of acquitting a guilty defendant and all vote “rationally”.  The talk will explore the logic behind this “Jury Paradox”.

Everyone welcome!

Speaker: Piotr Faliszewski (Krakow)

Date, Time and Venue: Monday, 26 February 2018, 15:00-16:00, CaseRoom4/260-009 [Business School Building, Level 0]

Abstract: We start from examples of multiwinner voting rules, then dwell on a particular class of those rules, called committee scoring rules, which we consider in detail from axiomatic, algorithmic and experimental perspective. We promise beautiful pictures!

Everyone welcome!

Speaker: Han Bleichrodt (Erasmus University Rotterdam and ANU)

Date, Time and Venue: Friday, 23 February 2018, 12:00-13:00, room 260-6115 [Business School Building, Level 6]

Title: Testing Hurwicz Expected Utility

Abstract: Gul and Pesendorfer (2015) propose a new theory of ambiguity, they dub Hurwicz expected utility (HEU). HEU is the first axiomatic theory that is consistent with most of the available empirical evidence on decision under uncertainty. We show that HEU is also tractable and a particular subclass can readily be estimated and tested. We do this by requiring the probability weighting functions in the HEU representation to come from a two-parameter family. We investigate two predictions of HEU. The first prediction is that ambiguity aversion is constant across different sources of ambiguity. We investigate this utilizing the data of Abdellaoui et al. (2011). We observe support for it in their most extensive data set, but not in the other data set. The second prediction is that ambiguity aversion and first-order risk aversion (Segal and Spivak, 1990) are positively correlated. We perform an experiment to test this prediction. As the positive correlation revealed in the data is only slight to fair we conclude the evidence of a positive relation between ambiguity aversion and first order risk aversion is not conclusive.

Everyone welcome!

Speaker: Matthew Ryan (AUT)

Date, Time and Venue: Thursday, 26 October 2017, 2:00-3:00 pm, room 260-323 [Business School Building, Level 3]

Title: The Condorcet Jury Theorem: An Introduction

Abstract:  Back in August, Simona Fabrizi presented her work with Addison Pan on the so-called “Jury Paradox”.  The present talk provides an introduction to some of the background literature on group decision-making.  The “Condorcet Jury Theorem” is an 18th century result due to the Marquis de Condorcet, which anticipates modern notions of the wisdom of crowds.  It is also important in political theory as a rationale for democratic decision-making.  The theorem asserts that (under suitable conditions) a group of relatively uninformed voters will make better decisions by majority rule than a single expert deciding unilaterally, provided the group is large enough.  We introduce Condorcet’s result and its limitations, as well as a few extensions.  Condorcet assumed “sincere” voting, while the modern research on group choice requires that votes be cast “rationally” – that is, the profile of votes should be an equilibrium (in the sense of Harsanyi) of the voting game.  It is well-known that sincere voting need not be rational in this sense.  Does the essence of the Jury Theorem survive strategic voting?  Come along and find out!

Everyone welcome!

Speaker: Rajiv Sarin (University of Exeter)

Title of the talk: “A Model of Satisficing”

Date, Time and Venue: Thursday, 17 August 2017,  2:00-3:00 pm, room 260-323 [Business School Building, Level 3]

Abstract: “We build a model of satisficing behaviour. We explicitly introduce the payoff the decision maker expects from a strategy, where this expectation is adaptively formed. This valuation of a strategy is differentiated from her satisficing level which is taken to be the payoff the agent expects from her best outside option. If the agent receives a payoff above her satisficing level she continues with the current action, updating her valuation of the action. If she receives a payoff below her satisficing level and her valuation of the action falls below her satisficing level she updates both her satisficing level and what she expects from the strategy. We show that in the long run, all players satisfice. In individual decision problems, satisficing behaviour results in cautious, maximin choice. In games like the Prisoner’s Dilemma and Stag Hunt, they converge to cooperative outcomes. In other games, such as canonical public good games, they converge to (selfish) Nash equilibria.”

Bio: Rajiv Sarin is Professor of Economics at the University of Exeter. He is a theorist whose research has appeared in such leading journals as American Economic Review, International Economic Review, Games and Economic Behavior and Journal of Economic Theory.

Everyone welcome!

Speaker: Simona Fabrizi (Department of Economics, University of Auckland)

Title of the talk: “The Good, The Bad, and The Not So Ugly: Unanimity Voting with Ambiguous Information” based on a joint paper with Addison Pan

Date, Time and Venue: Thursday, 3 August 2017,  2:00-3:00 pm, [Room Change!] now room 260-307 [Business School Building, Level 3]

Abstract: “Collective decision-making leads to poorer quality decisions under the unanimity voting rule than under majority voting especially as the size of the group grows larger, due to the tendency for strategic decision-makers to vote more often against their private information. In jury trials, for instance, it is well-established that strategic voting is responsible for the paradoxical result that the more demanding the hurdle for conviction is, the more likely it is that a jury will convict an innocent defendant. We challenge these findings, by exploring collective decision-making under alternative voting rules when decision-makers face an ambiguous information structure. Specifically, we investigate voting behaviour by ambiguity-averse voters, who are MaxMin Expected Utility Maximizers, demonstrating that unanimity voting is compatible with instances of informative voting, outperforming other voting rules, such as majority voting.”

Everyone welcome!

SpeakerThomas Pfeiffer  (New Zealand Institute for Advanced Study, Massey University)

Title of the talk: “Decision markets in theory, experiment, and practical applications”

Date, Time and Venue: Wednesday, 31 May 2017,  2:00-3:00 pm, 260-307 [Business School Building, Level 3]

What this talk is going to be about, in Thomas’ words: “Knowledge in society is often dispersed, with different individuals holding different pieces of information. Decision markets are novel mechanisms to harness this knowledge for decision-making. They combine scoring rules to reward individuals for accurate forecasts with decision rules to translate aggregated forecasts into decisions. Because of this combination, decision markets can also be viewed as voting mechanisms that tie votes on actions to forecasts of their consequences.

In preparation for a full Marsden proposal on decision markets, I would like to discuss some promising open questions on this topic:

  • What are the most interesting theoretical aspects of the proposal?
    • What really is the relation between decision markets and voting mechanisms – i.e. what framework in voting theory is best suited to compare decision markets with other voting mechanisms?
    • The decision rules in proper decision markets are stochastic – what is the most relevant literature on stochastic voting systems?
    • The forecasting functionality of decision markets resembles (to some degree) signalling of candidates intentions prior to an election. Is there theory on campaign promises and voting?
  • What are the most interesting aspects in terms of human-subjects experiments
    • Proof-of-concept: we currently don’t really have a solid one – what is the best possible experiment for this (e.g. compare to Plott’s XYZ prediction market experiments)?
    • What would be a good lab setup/scenario to compare voting and decision markets?
  • What are the most relevant implications of such a proposal
    • Can decision markets help strengthening evidence-based decision-making in a “post-truth” world?

This is really intended as “sparring” session – I’ll prepare material for about 15 min (max), and would be very grateful for critical feedback, discussion, and pointers to the literature.”

Everyone welcome!