Collective Choice Lotteries

Randomization is playing an ever increasing role in economic design with examples ranging from fair allocation to matching markets to voting. I propose and briefly discuss three interdisciplinary and interrelated research questions that deserve further attention: (i) when are collective choice lotteries acceptable, (ii) how do agents compare lotteries, and (iii) how can randomized rules be implemented.

[1]  F. Brandt,et al.  Arrovian Aggregation of Convex Preferences and Pairwise Utilitarianism , 2017, 1703.05519.

[2]  Felix Brandt,et al.  Arrovian Aggregation of Convex Preferences , 2017, Econometrica.

[3]  James Wycliffe Headlam,et al.  Election By Lot At Athens , 1891 .

[4]  Oliver Dowlen,et al.  Sorting Out Sortition: A Perspective on the Random Selection of Political Officers , 2009 .

[5]  Alexander A. Guerrero Against Elections: The Lottocratic Alternative , 2014 .

[6]  Peter C. Fishburn,et al.  Nonlinear preference and utility theory , 1988 .

[7]  Cornelius Adrian Vermeule The Luck of the Draw: The Role of Lotteries in Decision Making , 2012, Perspectives on Politics.

[8]  Richard Stong,et al.  Collective choice under dichotomous preferences , 2005, J. Econ. Theory.

[9]  Ariel D. Procaccia,et al.  Truth, justice, and cake cutting , 2010, Games Econ. Behav..

[10]  Haris Aziz,et al.  A Probabilistic Approach to Voting, Allocation, Matching, and Coalition Formation , 2020, The Future of Economic Design.

[11]  Felix Brandt,et al.  Universal pareto dominance and welfare for plausible utility functions , 2014, EC.

[12]  Felix Brandt,et al.  Consistent Probabilistic Social Choice , 2015, ArXiv.

[13]  Brian Hill,et al.  Robust Social Decisions , 2016 .

[14]  P. Fishburn SSB Utility theory: an economic perspective , 1984 .

[15]  Pavlo R. Blavatskyy,et al.  Predictably Intransitive Preferences , 2016, Judgment and Decision Making.

[16]  Michel Regenwetter,et al.  Behavioural social choice: a status report , 2009, Philosophical Transactions of the Royal Society B: Biological Sciences.

[17]  Felix Brandt,et al.  On the tradeoff between efficiency and strategyproofness , 2018, Games Econ. Behav..

[18]  Hans Peters,et al.  Strategy-Proof Probabilistic Decision Schemes for One-Dimensional Single-Peaked Preferences , 2002, J. Econ. Theory.

[19]  Felix A. Fischer,et al.  Optimal impartial selection , 2013, SIAM J. Comput..

[20]  Daniela Sabán,et al.  The Complexity of Computing the Random Priority Allocation Matrix , 2015, Math. Oper. Res..

[21]  B. Goodwin,et al.  Justice by Lottery , 1992 .

[22]  Hervé Moulin,et al.  A New Solution to the Random Assignment Problem , 2001, J. Econ. Theory.

[23]  Felix Brandt,et al.  The Computational Complexity of Random Serial Dictatorship , 2013, WINE.

[24]  Ittay Nissan-Rozen Doing the best one can: a new justification for the use of lotteries , 2012 .

[25]  Peter Stone,et al.  The Luck of the Draw , 2011 .

[26]  Felix Brandt,et al.  Welfare Maximization Entices Participation , 2015, Games Econ. Behav..

[27]  Felix Brandt,et al.  On Correctness and Privacy in Distributed Mechanisms , 2005, AMEC@AAMAS/TADA@IJCAI.

[28]  Felix Brandt,et al.  Majority Graphs of Assignment Problems and Properties of Popular Random Assignments , 2017, AAMAS.

[29]  P. Fishburn Probabilistic Social Choice Based on Simple Voting Comparisons , 1984 .

[30]  H. Moulin,et al.  Random Matching under Dichotomous Preferences , 2004 .

[31]  Shahar Dobzinski,et al.  On the Power of Randomization in Algorithmic Mechanism Design , 2009, 2009 50th Annual IEEE Symposium on Foundations of Computer Science.

[32]  A. Gibbard Manipulation of Schemes That Mix Voting with Chance , 1977 .