Major themes:

•  [E] Epistemic democracy (Condorcet Jury Theorem, Wisdom of Crowds).

•  [D] Decision theory (mainly subjective expected utility).

•  [I] Interpersonal comparisons of well-being (incomplete or approximate).

•  [J]  Judgement aggregation.

•  [R] Risky and/or intertemporal social choice.

•  [S] Scoring rules in social choice.

•  [W] Social welfare (mainly utilitarian).

•  [𝚽] Philosophy.

• [CA] Cellular automata and symbolic dynamics.

Textbook

•  Linear Partial Differential Equations and Fourier Theory, 630 pages, Cambridge University Press, 2010. ISBN: 978-0521136594

Commissioned expository articles

1. [W] Social Preference and Social Welfare Under Risk and Uncertainty, by Philippe Mongin and M. Pivato, Chapter 24 of  Handbook of Well-being and Public Policy, edited by Matthew D. Adler and Marc Fleurbaey,  pp. 711-745,  Oxford University Press, 2016.

2. [CA] The ergodic theory of cellular automata, M. Pivato, International Journal of General Systems, 41 #6 (2012).

3. [CA] The ergodic theory of cellular automata, M. Pivato, in the Encyclopedia of Complexity and System Science, Robert A. Meyers, ed. (Springer-Verlag, 2009).

Research articles (in reverse chronological order)

     -----2025-----

4. [D] Subjective expected utility on orthomodular lattices, by M. Pivato,  to appear in Philosophical Transactions of the Royal Society A (2025).

    -----2024-----

5. [W] Intergenerational equity and infinite-population ethics: a survey, by M. Pivato and Marc Fleurbaey, Journal of Mathematical Economics  113, 103021 (2024).

6. [W] Bayesian social aggregation with almost-objective uncertainty, by M. Pivato and Élise Flore Tchouante, Theoretical Economics 19 (2024), 1351–1398.

7. [W] Bayesian social aggregation with non-Archimedean utilities and probabilities, M. Pivato and  Élise Flore Tchouante, Economic Theory 77, pp. 561–595, 2024.

     -----2023-----

8. [W] Population ethics in an infinite universe, by M. Pivato, Philosophical Studies 180, pp. 3383–3414, 2023.

9. [W] Cesàro average utilitarianism in relativistic spacetime, by M. Pivato.  Social Choice & Welfare  61, pp. 733–761, 2023.

     -----2022-----

10. [D] A characterization of Cesàro average utility, by M. Pivato,  Journal of Economic Theory 201 (2022) 105440.

11. [W] Bayesian social aggregation with accumulating evidence, by M. Pivato,  Journal of Economic Theory  200, 105399, 2022.

12. [J]  The median rule in judgement aggregation, by Klaus Nehring and M. Pivato, Economic Theory 73, pages 1051–1100 (2022) [Open access] .       [Preprint version].

13.  Measure and integration on Boolean algebras of regular open subsets in a topological space, by M. Pivato and Vassili Vergopoulos,  Real Analysis Exchange  47 (#1), pages 25-62, 2022.

-----2021-----

14. [E] Deliberation and epistemic democracy,  by Huihui Ding and M. Pivato,  Journal of Economic Behavior and Organization 185, pp. 138-167, 2021.

15. [W] Rawls’s Difference Principle and maximin rule of allocation: a new analysis, by Philippe Mongin and M. Pivato,  Economic Theory 71, pp. 1499–1525, 2021.

16. [D,R] Intertemporal choice with continuity constraints, M. Pivato, Mathematics of Operations Research  46 (#3), pp. 1203-1229, 2021.

17. [𝚽] Dynamic and stochastic systems as a framework for metaphysics and the philosophy of science, by Christian List and M. Pivato,  Synthese 198, pp. 2551–2612, 2021.

-----2020-----

18. [W] Social preferences under twofold uncertainty,  Philippe Mongin and M.Pivato,  Economic Theory 70 (#3), pp. 633-663, 2020.

19. [W] Rank-additive population ethics, M. Pivato,  Economic Theory 69(#4), pp. 861-918, 2020.

20. [D]  Subjective expected utility with imperfect perception, M. Pivato and Vassili Vergopoulos,   Journal of Mathematical Economics 88, pp.104-122, 2020.

21. [S] Weighted representative democracy,  M. Pivato and Arnold Soh,  Journal of Mathematical Economics  88, pp.52-63, 2020.

22. [D] Subjective expected utility with a spectral state space, M. Pivato,  Economic Theory  69(#2), pp. 249-313, 2020.

-----2019-----

23. [J]  Majority rule in the absence of a majority, by Klaus Nehring and M. Pivato,  Journal of Economic Theory 183, September 2019, pp. 213-257.

24. [W,S] Truth-Revealing Voting Rules for Large Populations, by Matías Núñez and M. Pivato,  Games and Economic Behaviour 113, 2019, pp. 285–305.

25. [E] Realizing epistemic democracy, M. Pivato, in  The future of economic design (Jean-François Laslier, Hervé Moulin, Remzi Sanver, and William S. Zwicker, eds.), Springer-Verlag 2019, pp. 103-112.

-----2018-----

26. Evolutionary stability of bargaining and price-posting: Implications for formal and informal activities, by Nejat Anbarci, Pedro Gomis-Porqueras, and M. Pivato.  Journal of Evolutionary Economics  28  (#2), April 2018, pp. 365–397.

-----2017-----

27. [E] Epistemic democracy with correlated voters, M. Pivato,  Journal of Mathematical Economics, 72, 2017  pp. 51-69.

28. The Efficiency of Tenure Contracts in Academic Employment, by Bruce Cater, Byron Lew and M. Pivato.  Journal of Public Economic Theory 19 (#2), April 2017, pp. 331–361.

-----2016-----

29. [W,S] Asymptotic utilitarianism in scoring rules, M. Pivato.   Social Choice and Welfare 47(#2), 2016, pp. 431-458.

30. [W]  Statistical utilitarianism, M. Pivato. (2016)  in The political economy of social choices (Maria Gallego and Norman Schofield, eds.),  pp.187-205,  Studies in political economy, Springer-Verlag, 2016.

31. [J] Unanimity Overruled: Majority Voting and the Burden of History, by Klaus Nehring, M. Pivato, and Clemens Puppe,   Journal of Theoretical Politics 28 (#4) pp. 552-597, October 2016.

-----2015-----

32. [W] Condorcet meets Bentham,  by M. Pivato.  Journal of Mathematical Economics  59 (2015), pp.58-65.

33. [D,R,W] Ranking Multidimensional Alternatives and Uncertain Prospects, by Philippe Mongin and M. Pivato.  Journal of Economic Theory   157, 2015, pp.146-171.

34.  [𝚽] Emergent chance, by Christian List and M. Pivato.  The Philosophical Review 24 (#1), January 2015, pp. 119-152.

35. [I,W] Social choice with approximate interpersonal comparisons of welfare gains, M. Pivato;  Theory & Decision 79 (#2), 2015, pp. 181-216.

-----2014-----

36. [J]  How indeterminate is sequential majority voting? A judgement aggregation perspective, by Klaus Nehring and M. Pivato,  pp.55-88 of The Mathematics of Decisions, Elections, and Games (Crisman, Karl-Dieter and Jones, Michael A., editors), volume 624 of Contemporary Mathematics, American Mathematical Society, 2014.

37. [J] The Condorcet set: Majority voting over interconnected propositions, by Klaus Nehring, M. Pivato, and Clemens Puppe,    Journal of Economic Theory 151, 2014, pp. 268-303.

38. [D,R,W] Additive representation of separable preferences over infinite products, M. Pivato; Theory and Decision 77 (#1), June 2014, pp. 31-83.

39. [S,W] Formal utilitarianism and range voting, M. Pivato,   Mathematical Social Sciences 6 (#1), January 2014, pp. 50-56.

-----2013-----

40. [D,I] Multiutility representations for incomplete difference preorders, M. Pivato, Mathematical Social Sciences 66 (#3), November 2013, pp. 196-220

41. [I,W] Social welfare with incomplete ordinal interpersonal comparisons, M. Pivato, Journal of Mathematical Economics 49 (#5), October 2013, pp. 405-417.

42. [S] Variable population voting rules, M. Pivato,  Journal of Mathematical Economics 49 (#3), May 2013, pp. 210-221.

43. [E,S] Voting rules as statistical estimators, M. Pivato, Social Choice & Welfare 40 (#2), February 2013, pp. 581-630.

44. [I,R,W] Risky social choice with incomplete or noisy interpersonal comparisons of well-being, M. Pivato, Social Choice & Welfare 40 (#1), January 2013, pp. 123-139.

-----2012-----

45. [E] A statistical approach to epistemic democracy, M. Pivato,  Episteme 9, special issue #2, June 2012, pp. 115-137.

-----2011-----

46. [J]  Incoherent majorities: The McGarvey problem in judgement aggregation, by Klaus Nehring and M. Pivato, Discrete Applied Mathematics 159 (2011), pp.1488-1507.

47. [CA] Positive expansiveness versus network dimension in symbolic dynamical systems, M. Pivato, Theoretical Computer Science 412 #30 (2011), pp.3838-3855.

-----2010-----

48. [CA] RealLife, M. Pivato. In: Andrew Adamatzky (Ed.), Game of Life Cellular Automata (Springer-Verlag, 2010), Chapter 12, pp.223-234.

49. [CA] Embedding Bratteli–Vershik systems in cellular automata, M. Pivato and Reem Yassawi. Ergodic Theory & Dynamical Systems, (2010), 30, pp.1561-1572.

-----2009-----

50. [J]  Geometric models of consistent judgement aggregation, M. Pivato, Social Choice &Welfare 33 (#4), 2009, pp.559-574.

51. [𝚽] Pyramidal Democracy, M. Pivato, Journal of Public Deliberation, Vol. 5 (#1), 2009, Article 8.

52. [W] Twofold optimality of the relative utilitarian bargaining solution, M. Pivato, Social Choice & Welfare 32 (#1), 2009, pp.79-92.

53. [CA] Emergent defect dynamics in two-dimensional cellular automata, by Martin Delacourt and M. Pivato, Journal of Cellular Automata, 4 (#2), 2009, pp.111-124.

-----2008-----

54. [CA] Module shifts and measure rigidity in linear cellular automata, M. Pivato, Ergodic Theory & Dynamical Systems, 28, (#6), December 2008, pp.1945-1958.

55. [CA] The spatial structure of odometers in certain cellular automata. M. Pivato and Reem Yassawi. Proceedings of “Journées Automates Cellulaires” (Uzés, France; April 21-25, 2008), pp.119-129.

-----2007-----

56. [CA] Defect particle kinematics in one-dimensional cellular automata, M. Pivato, Theoretical Computer Science, 377, (#1-3), May 2007, pp.205-228.

57. [CA] RealLife: the continuum limit of Larger than Life cellular automata, M. Pivato, Theoretical Computer Science, 372 (#1), 2007, pp. 46-68.

58. [CA] Prevalence of odometers in cellular automata, Ethan M. Coven, M. Pivato, and Reem Yassawi. Proceedings of the American Mathematical Society, 135, 2007, pp.815-821.

59. [CA] Spectral domain boundaries in cellular automata, M. Pivato, Fundamenta Informaticae, 78 (#3), 2007, pp.417-447.

60. [CA] Algebraic invariants for crystallographic defects in cellular automata, M. Pivato, Ergodic Theory & Dynamical Systems, 27 (#1), February 2007, pp. 199-240.

-----2006-----

61. [CA] Asymptotic randomization of subgroup shifts by linear cellular automata, by Alejandro Maass, Servet Martinez, M. Pivato, and Reem Yassawi, Ergodic Theory & Dynamical Systems, 26 (#4), 2006, pp.1203-1224.

62. [CA] Asymptotic randomization of sofic shifts by linear cellular automata, M. Pivato and Reem Yassawi, Ergodic Theory & Dynamical Systems 26 (#4), 2006, pp.1177-1201.

63. [CA] Attractiveness of the Haar measure for the action of linear cellular automata in Abelian topological Markov chains, by Alejandro Maass, Servet Martinez, M. Pivato and Reem Yassawi, pp. 100-108, in Dynamics & Stochastics: Festschrift in honour of Michael Keane (volume 48, Lecture Notes Monograph Series of Institute for Mathematical Statistics), 2006.

-----2005-----

64. [CA] Cellular automata vs. quasisturmian shifts, M. Pivato, Ergodic Theory & Dynamical Systems, 25 (#5), 2005, pp. 1583-1632.

65. [CA] Invariant measures for bipermutative cellular automata, M. Pivato, Discrete & Continuous Dynamical Systems A, 12 (#4), 2005, pp. 723 - 736.

-----2004-----

66. [CA] Limit measures for affine cellular automata II, M. Pivato and Reem Yassawi, Ergodic Theory & Dynamical Systems, 24 (#6), 2004, pp. 1961-1980

67. Interior symmetry and local bifurcation in coupled cell networks, by Martin Golubitsky, M. Pivato, and Ian Stewart, Dynamical Systems: an International Journal, 19 (#4), 2004, pp.389-407.

-----2003-----

68. Symmetry groupoids and patterns of synchrony in coupled cell networks, by Martin Golubitsky, M. Pivato, and Ian Stewart, SIAM Journal of Applied Dynamical Systems, 2 (#4), 2003, pp. 609 - 646.

69. Estimating the spectral measure of a multivariate stable distribution via spherical harmonic analysis, M. Pivato and Luis Seco, Journal of Multivariate Analysis, 87 (#2), 2003, pp. 219-240.

70. [CA] Multiplicative cellular automata on nilpotent groups: Structure, entropy, and asymptotics, M. Pivato, Journal of Statistical Physics, 110 (#1/2), 2003, pp. 247-267.

-----2002-----

71. [CA] Conservation laws for cellular automata, M. Pivato, Nonlinearity, 15, 2002, pp. 1781- 1793.

72. [CA] Limit measures for affine cellular automata, M. Pivato and Reem Yassawi, Ergodic Theory & Dynamical Systems, 22 (#6), 2002, pp. 1269-1287.

-----2001-----

73. [CA] Building a stationary stochastic process from a finite-dimensional marginal, M. Pivato, Canadian Journal of Mathematics, 53 (#2), 2001, pp. 382-413.

-----2000------

74. Measures of dependence for multivariate Lévy distributions, Jeff Boland, Tom Hurd, M. Pivato and Luis Seco, Disordered and Complex Systems (London, 2000) pp. 289- 295; American Institute of Physics Conference Proceedings vol. 553.

Book Reviews

• Review of Moral Uncertainty, by William MacAskill, Krister Bykvist and Toby Ord. Oxford University Press, 2020, viii + 226 pages (in Economics and Philosophy, 2022).

Working Papers

• 1. [D] Coarse Descriptions and Cautious Preferences, by Evan Piermont and M. Pivato.

  2. [E] General geometric belief aggregation, M. Pivato  [Presentation slides]

  3. [S] Quadratically normalized utilitarian voting, by Rajarshi Ghosh and M. Pivato.

  4. [𝚽,D] Autonomy and Metapreferences,  M. Pivato

  5. [𝚽,D] Universal recursive preference structures,  M. Pivato

     •  Slides and Video recording of presentation at the 7th International Workshop on Applied Category Theory (Oxford, June 2024).

  6. [D] Global subjective expected utility representations, M. Pivato 

     • Slides and Video recording of presentation at the 7th International Workshop on Applied Category Theory (Oxford, June 2024).

     • Slides from Theoretical Aspects of Rationality & Knowledge (Düsseldorf, 2025)

  7. [D] Compact spaces of continuous preferences, by M. Pivato.

  8. [D] Subjective expected utility with topological constraints, by M. Pivato and Vassili Vergopoulos.

In progress

1. [D] Coherent Conditional Preferences and Two-Envelope Paradoxes,  by Evan Piermont and M. Pivato.

2. [S] An incentive-compatible utilitarian voting procedure for permanent citizens’ assemblies, M. Pivato and Rajarshi Ghosh

3. [E] Linear aggregation of conditional probability structures, M. Pivato  

   • Presentation Slides from SSCW Paris, July 2024

4. [D] Categorical Decision Theory, M. Pivato.

5. E pluribus unum: supermajority determinacy in judgement aggregation,  Klaus Nehring and M. Pivato.

Doctoral Thesis: Analytical Methods for Multivariate Stable Probability Distributions, Department of Mathematics, University of Toronto, 2001. (Supervisor: Luis Seco.)