Social choice theory, welfare economics and voting systems

Collective dynamical systems such as cellular automata and coupled cell networks.

**A fair pivotal mechanism for nonpecuniary public goods**, M. Pivato, November 2011 (23 pages).

(Also available: [Presentation slides] from the 13th meeting of the Association for Public Economic Theory (PET 12), Taipei, June 12-15, 2012, and the Second World Congress of the Public Choice Society, in Miami, March 8-11, 2012.)**Variable population voting rules**, M. Pivato, June 2011 (42 pages).

(Also available: [Presentation Slides] from the Joint Mathematics Meetings in Boston, January 4, 2012.)**Additive representation of separable preferences on infinite products**, M. Pivato, January 2011 (27 pages).

(Also available: Presentation slides from Econometric Society Meeting (Washington University in St. Louis, June, 2011), Meeting of the Society for Economic Design (University of Montreal, June, 2011), and AMMCS-2011 (Wilfrid Laurier University, Waterloo, Ontario, July 2011).)**Twofold optimality of the relative utilitarian bargaining solution**,*Social Choice and Welfare*, vol.**32**(#1), January 2008 (pp.79-92). Eprint available [Locally] or on [RePEc].-
**Pyramidal Democracy**,*Journal of Public Deliberation*Vol.**5**: No. 1, (2009), Article 8. **Why tenure?**, by B. Cater, B. Lew and M. Pivato, January 2009.

**Social choice with approximate interpersonal comparisons of welfare gains.**, 42 pages (July, 2011)

(Also available: Presentation Slides from*New Directions in Welfare*(OECD, Paris, July 2010) and AMMCS-2011 (Wilfrid Laurier University, Waterloo, Ontario (July 2011).)**Risky social choice with incomplete or noisy interpersonal comparisons of well-being**,*Social Choice & Welfare***40**(#1) January 2013, pp. 123-139**Aggregation of incomplete ordinal preferences with approximate interpersonal comparisons.**40 pages (September, 2010).**Approximate interpersonal comparisons of well-being.**30 pages (September, 2010).- Presentation Slides from SCW 2010 (Moscow, July 2010).

**Majority rule in the absence of a majority**, by Klaus Nehring and M. Pivato (September, 2011)

(Also available: [Presentation slides] from the Workshop on New Developments in Judgement Aggregation and Voting Theory, Freudenstadt, September 9-11, 2011. )**Condorcet admissibility: Indeterminacy and path-dependence under majority voting on interconnected decisions**, by Klaus Nehring, M. Pivato, and Clemens Puppe. (July, 2011)**The McGarvey problem in judgement aggregation**, M. Pivato and Klaus Nehring,*Discrete Applied Mathematics*,**159**(2011), 1488-1507. [Presentation slides]-
**The geometry of consistent majoritarian judgement aggregation**.*Social Choice and Welfare*,**33**(#4) November 2009, (pp.559-574). Eprint available on [RePEc].

**A statistical approach to epistemic democracy**, M. Pivato.*Episteme***9**, (#2), June 2012, pp. 115-137. (Also available: Presentation slides from (EPISTEME 11 (June 24-26, 2011, Carnegie-Mellon University).)**Voting rules as statistical estimators**, M. Pivato,*Social Choice & Welfare*, February 2013,**40**(#2), pp 581-630.

**Limit measures for affine cellular automata**, by M. Pivato and Reem Yassawi,*Ergodic Theory & Dynamical Systems*, vol**22**(4), August, 2002. pp. 1269-1287 [Eprint Available]**Limit measures for affine cellular automata II**, by M. Pivato and Reem Yassawi.*Ergodic Theory & Dynamical Systems*, December 2004, vol.**24**(#6) pp. 1961-1980

[Eprint Available]**Multiplicative Cellular Automata on Nilpotent Groups: Structure, Entropy, and Asymptotics**,*Journal of Statistical Physics*, vol**110**(1/2), January 2003, pp 247-267 [Eprint Available]**Invariant Measures for bipermutative cellular automata**, Discrete and Continuous Dynamical Systems, Series A, vol.**12**(4), April 2005, pp. 723 - 736. [Eprint available]**Asymptotic Randomization of Sofic Shifts by Linear Cellular Automata**, by M. Pivato and R. Yassawi,*Ergodic Theory & Dynamical Systems*,**26**(#4), October 2006, pp. 1177-1201.Eprint available [ArXiV].[ETDS]........[Presentation Slides]

**Asymptotic Randomization of Subroup Shifts by Linear Cellular Automata**, by Alejandro Maass, Servet Martinez, M. Pivato and Reem Yassawi, 20 pages,*Ergodic Theory & Dynamical Systems*,**26**(#4), October 2006, pp. 1203-1224. [Eprint available]**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 of*Dynamics and Stochastics: Festschrift in honour of Michael Keane*volume**48**of*Lecture Notes Monograph Series of the Institute for Mathematical Statistics*(2006), [EPrint available]**Module Shifts and Measure Rigidity in Linear Cellular Automata**, M. Pivato, Ergodic Theory & Dynamical systems, vol.**28**(#6), December 2008, pp.1945-1958. [EPrint available]

**Algebraic Invariants for Crystallographic Defects in Cellular Automata,**Ergodic Theory & Dynamical systems,**27**(#1), February 2007, pp. 199-240 [ EPrint available]**Spectral Domain Boundaries in Cellular Automata,**Fundamenta Informaticae,**78**(#3), 2007, pp. 417-447. [ EPrint available]**Defect Particle Kinematics in One-Dimensional Cellular Automata,**, Theoretical Computer Science,**377**, (#1-3), May 2007, pp.205-228

[EPrint available]**Crystallographic Defects in Cellular Automata:**Slides ([PDF] or [gzipped PostScript]) for presentations at**Emergent defect dynamics in two-dimensional cellular automata**, by Martin Delacourt and M. Pivato, Journal of Cellular Automata, vol.**4**(#2), 2009, pp. 111-124. (Proceedings AUTOMATA 2007 conference)- Eprint of the paper.
- Presentation slides.
- Animations of emergent defect dynamics.

**Conservation Laws in Cellular Automata**, in*Nonlinearity*, vol**15**(6), November, 2002, pp 1781-1793. [Eprint Available]**Cellular Automata vs. Quasisturmian Systems**, in*Ergodic Theory & Dynamical Systems*,**25**(#5), October 2005, pp. 1583-1632

[Eprint available] ............[Presentation Slides]in Theoretical Computer Science,*RealLife*: The continuum limit of*Larger than Life*cellular automata,**372**(#1), March 2007, pp. 46-68 ...................... [EPrint available] ...................... [Presentation Slides]**Prevalence of Odometers in Cellular Automata**, Ethan M. Coven, M. Pivato, and Reem Yassawi, Proceedings of the American Mathematical Society,**135**, March 2007 pp. 815-821. [Eprint Available]**The Ergodic Theory of Cellular Automata**, invited article to appear in Springer-Verlag's Encyclopedia of Complexity and System Science, 2008. [Eprint Available]**Embedding Bratteli-Vershik systems in cellular automata**, by M. Pivato and Reem Yassawi,*Ergodic Theory & Dynamical Systems*, (2010),**30**, pp 1561-1572. [EPrint available]

**Positive expansiveness versus network dimension in symbolic dynamical systems**, to appear in*Theoretical Computer Science*(2011). [Eprint available].........[Presentation Slides] (CMS Meeting, Vancouver, December 2010)**Building a stationary stochastic process from a finite-dimensional Marginal**,*Canadian Journal of Mathematics*, vol**53**(2) 2001, pp.382-413 [Eprint Available]

**Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks**, by Martin Golubitsky, M. Pivato, and Ian Stewart, 50 pages,*SIAM Journal of Applied Dynamical Systems*(2003) [Eprint available] [gzipped postscript and Adobe PDF available].**Interior Symmetry and Local Bifurcation in Coupled Cell Networks,**by Martin Golubitsky, M. Pivato, and Ian Stewart,*Dynamical Systems: an International Journal*,**19**(#4), pp.389-407. [Adobe PDF available].

**Estimating the spectral measure of a multivariate Stable distribution via spherical harmonic analysis**, by Marcus Pivato and Luis Seco,*Journal of Multivariate Analysis*vol.**87**(#2), November 2003, Pages 219-240.Available from [ Science Direct]. Also locally available as [gzipped postscript] or [Adobe PDF].

**Measures of Dependence for Multivariate Levy Distributions**by J. Boland, T. Hurd, M. Pivato and L. Seco,*Disordered and Complex Systems*(London, 2000) pp. 289-295;`American Institute of Physics Conference Proceedings`

vol.**553**.**Ph.D Thesis:***Analytical methods for multivariate stable probability distributions*[gzipped postscript and Adobe PDF available].

Positive expansiveness versus network dimension in symbolic dynamical systems (CMS Meeting, Vancouver, December 2010).

Social choice with approximate interpersonal comparisons of utility from SCW 2010 (Moscow, July 2010).

Majority rule in the absence of a majority (joint with Klaus Nehring) presented at the Workshop on New Developments in Judgement Aggregation and Voting Theory, Freudenstadt, September 9-11, 2011. Earlier version presented at SCW 2010 (Moscow, July 2010)

**Limit measures for affine cellular automata**, presented at the Workshop on Dynamics and Randomness, December 2000, Santiago, Chile. [gzipped postscript and Adobe PDF available].-
**Asymptotic Randomization of Sofic Shifts by Linear Cellular Automata**, presented at the Joint International Meeting, held in June 2003 in Seville, between the American Mathematical Society and the Real Sociedad Matematica Espanola ...................... [PDF]....[Gzipped PS] **Cellular Automata vs. Quasisturmian Systems**, presented at the fifth international conference on*Dynamical Systems and Differential Equations*, held in June 2004 at California State Polytechnic University, Pomona, by the American Institute of Mathematical Sciences ...................... [PDF]....[Gzipped PS]*RealLife*: The continuum limit of*Larger than Life*cellular automata**Analytical methods for multivariate stable probability distributions**(summary of thesis work). [gzipped postscript and Adobe PDF available].

This page last updated 2003-06-12. Address all correspondence to marcuspivato@gmail.com