Bill Sandholm's Research

CV (This version: 1 Jan 19)

Software

• ABED: Agent-Based Evolutionary Game Dynamics (with Luis Izquierdo and Segis Izquierdo). Introduction to ABED.
• Dynamo: Diagrams for Evolutionary Game Dynamics (with Emin Dokumacı and with Francisco Franchetti). Introduction to Dynamo.
• EvoDyn-3s (with Luis Izquierdo and Segis Izquierdo). Introduction to EvoDyn-3s.

Journal Articles

• "Schelling Redux: An Evolutionary Dynamic Model of Residential Segregation" (with Emin Dokumacı). Journal of Dynamics and Games (2022).
• "Large deviations and Stochastic stability in Population Games" (with Mathias Staudigl and Srinivas Arigapudi). Journal of Dynamics and Games (2022).
• "Stochastic dynamics and Edmonds' algorithm" (with Jonathan Newton). Journal of Dynamics and Games (2022).
• "Hamilton-Jacobi Equations with Semilinear Costs and State Constraints, with Applications to Large Deviations in Games" (with Hung Tran and Srinivas Arigapudi). Mathematics of Operations Research 47 (2022), 72-99.
• "Stability for Best Experienced Payoff Dynamics" (with Segis Izquierdo and Luis Izquierdo). Journal of Economic Theory 185 (2020), 104957.
• "An Introduction to ABED: Agent-Based Simulation of Evolutionary Game Dynamics" (with Luis Izquierdo and Segis Izquierdo). Games and Economic Behavior 118 (2019), 434-462. Online appendix.
• "Best Experienced Payoff Dynamics and Cooperation in the Centipede Game" (with Segis Izquierdo and Luis Izquierdo). Theoretical Economics 4 (2019), 1347–1386. Online appendix. Mathematica notebook.
• "EvoDyn-3s: A Mathematica Computable Document to Analyze Evolutionary Dynamics in 3-Strategy Games" (with Luis Izquierdo and Segis Izquierdo). SoftwareX 7 (2018), 226-233.
• "Riemannian Game Dynamics" (with Panayotis Mertikopoulos). Journal of Economic Theory 177 (2018), 315-364.
• "Sample Path Large Deviations for Stochastic Evolutionary Game Dynamics" (with Mathias Staudigl). Mathematics of Operations Research 43 (2018), 1348-1377. Final working paper version.
• "Learning in Games via Reinforcement and Regularization" (with Panayotis Mertikopoulos). Mathematics of Operations Research 41 (2016), 1297-1324.
• "Large Deviations and Stochastic Stability in the Small Noise Double Limit" (with Mathias Staudigl). Theoretical Economics 11 (2016), 279-355.
• "Sampling Best Response Dynamics and Deterministic Equilibrium Selection" (with Daisuke Oyama and Olivier Tercieux). Theoretical Economics 10 (2015), 243-281.
• "Local Stability of Strict Equilibria under Evolutionary Game Dynamics". Journal of Dynamics and Games 1 (2014), 485-495.
• "Probabilistic Interpretations of Integrability for Game Dynamics". Dynamic Games and Applications 4 (2014), 95-106.
• "An Introduction to Dynamo: Diagrams for Evolutionary Game Dynamics" (with Francisco Franchetti). Biological Theory 8 (2013), 167-178.
• "Stochastic Approximation with Constant Step Size and Differential Inclusions" (with Greg Roth). SIAM Journal on Control and Optimization 51 (2013), 525-555.
• "Stochastic Imitative Game Dynamics with Committed Agents". Journal of Economic Theory 147 (2012), 2056-2071. Online appendix.
• "Large Deviations and Multinomial Probit Choice" (with Emin Dokumacı). Journal of Economic Theory 146 (2011), 2151-2158.
• "Survival of Dominated Strategies under Evolutionary Dynamics" (with Josef Hofbauer). Theoretical Economics 6 (2011), 341-377.
• "Decompositions and Potentials for Normal Form Games". Games and Economic Behavior 70 (2010), 446-456.
• "Local Stability under Evolutionary Game Dynamics". Theoretical Economics 5 (2010), 27-50.
• "Orders of Limits for Stationary Distributions, Stochastic Dominance, and Stochastic Stability". Theoretical Economics 5 (2010), 1-26.
• "Pairwise Comparison Dynamics and Evolutionary Foundations for Nash Equilibrium". Games 1 (2010), 3-17.
• "Large Population Potential Games." Journal of Economic Theory 144 (2009), 1710-1725.
• "Stable Games and their Dynamics" (with Josef Hofbauer). Journal of Economic Theory 144 (2009), 1665-1693. Online appendix.
• "Cultural Integration and Its Discontents" (with Timur Kuran). Review of Economic Studies 75 (2008), 201-228.
• "The Projection Dynamic and the Geometry of Population Games" (with Ratul Lahkar). Games and Economic Behavior 64 (2008), 565-590.
• "The Projection Dynamic and the Replicator Dynamic" (with Emin Dokumacı and Ratul Lahkar). Games and Economic Behavior 64 (2008), 666-683.
• "Robust Permanence and Impermanence for Stochastic Replicator Dynamics" (with Michel Benaïm and Josef Hofbauer). Journal of Biological Dynamics 2 (2008), 180-195.
• "Evolution in Bayesian Games II: Stability of Purified Equilibrium." Journal of Economic Theory 136 (2007), 641-667.
• "Simple Formulas for Stationary Distributions and Stochastically Stable States." Games and Economic Behavior 59 (2007), 154-162.
• "Evolution in Games with Randomly Disturbed Payoffs" (with Josef Hofbauer). Journal of Economic Theory 132 (2007), 47-69.
• "Pigouvian Pricing and Stochastic Evolutionary Implementation." Journal of Economic Theory 132 (2007), 367-382.
• "Excess Payoff Dynamics and Other Well-Behaved Evolutionary Dynamics." Journal of Economic Theory 124 (2005), 149-170.
• "Evolution in Bayesian Games I: Theory" (with Jeff Ely), Games and Economic Behavior 53 (2005), 83-109.
• "Negative Externalities and Evolutionary Implementation." Review of Economic Studies 72 (2005), 885-915.
• "Evolution and Equilibrium under Inexact Information." Games and Economic Behavior 44 (2003), 343-378.
• "On the Global Convergence of Stochastic Fictitious Play." (with Josef Hofbauer), Econometrica 70 (2002), 2265-2294.
• "Evolutionary Implementation and Congestion Pricing." Review of Economic Studies 69 (2002), 667-689.
• "Almost Global Convergence to p-Dominant Equilibrium." International Journal of Game Theory 30 (2001), 107-116.
• "Potential Games with Continuous Player Sets," Journal of Economic Theory 97 (2001), 81-108.
• "Preference Evolution, Two-Speed Dynamics, and Rapid Social Change," Review of Economic Dynamics 4 (2001), 637-679.
• "Evolution, Population Growth, and History Dependence," (with Ady Pauzner), Games and Economic Behavior 22 (1998), 84-120.
• "History Independent Prediction in Evolutionary Game Theory," Rationality and Society 10 (1998), 303-326.
• "Simple and Clever Decision Rules in a Model of Evolution," Economics Letters 61 (1998), 165-170.

Articles in Edited Volumes

• "Population Games and Deterministic Evolutionary Dynamics". In Handbook of Game Theory, Vol. 4, H. P. Young and S. Zamir, eds., 703-775. North Holland, 2015.
• "Stochastic Evolutionary Game Dynamics: Foundations, Deterministic Approximation, and Equilibrium Selection". In Evolutionary Game Dynamics, K. Sigmund, ed., 111-141, American Mathematical Society, 2011.
• "Evolutionary Game Theory". In Encyclopedia of Complexity and System Science, R. A. Meyers, ed., 3176-3205, Springer, 2009.
• "Deterministic Evolutionary Dynamics". In The New Palgrave Dictionary of Economics, 2nd edition, S. N. Durlauf and L. E. Blume, eds., Palgrave Macmillan, 2008.
• "Learning and Evolution in Games: An Overview". In The New Palgrave Dictionary of Economics, 2nd edition, S. N. Durlauf and L. E. Blume, eds., Palgrave Macmillan, 2008.

Book Reviews

• "Strategic Learning and its Limits" by H. Peyton Young. Games and Economic Behavior 63 (2008), 417-420.
• "Evolutionary Dynamics and Extensive Form Games" by Ross Cressman. International Review of Economics and Finance 15 (2006), 136-140.

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