William A. Brock | Academic Influence

William A. Brock's AcademicInfluence.com Rankings

William A. Brock

Economics

#707

World Rank

#852

Historical Rank

#392

USA Rank

Econometrics

#26

World Rank

#27

Historical Rank

#11

USA Rank

Macroeconomics

#117

World Rank

#126

Historical Rank

#59

USA Rank

economics Degrees

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Economics

William A. Brock's Degrees

PhD Economics University of California, Berkeley
Masters Economics University of California, Berkeley
Bachelors Economics University of California, Berkeley

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Why Is William A. Brock Influential?

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According to Wikipedia, William Allen "Buz" Brock is a mathematical economist and a professor at the University of Wisconsin–Madison since 1975. He is known for his application of a branch of mathematics known as chaos theory to economic theory and econometrics. In 1998, he was elected to the National Academy of Sciences in the Economics Section.

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William A. Brock's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Early-warning signals for critical transitions (2009) (3292)
A test for independence based on the correlation dimension (1996) (2677)
Simple Technical Trading Rules and the Stochastic Properties of Stock Returns (1992) (2275)
A rational route to randomness (1997) (1756)
Heterogeneous beliefs and routes to chaos in a simple asset pricing model (1998) (1753)
Discrete Choice with Social Interactions (2001) (1660)
Anticipating Critical Transitions (2012) (1517)
Management of eutrophication for lakes subject to potentially irreversible change (1999) (891)
Rising variance: a leading indicator of ecological transition. (2006) (792)
Interactions-Based Models (2000) (783)
Optimal economic growth and uncertainty: The discounted case (1972) (772)
Early Warnings of Regime Shifts: A Whole-Ecosystem Experiment (2011) (756)
The Green Solow model (2004) (667)
Turning back from the brink: Detecting an impending regime shift in time to avert it (2009) (645)
Methods for Detecting Early Warnings of Critical Transitions in Time Series Illustrated Using Simulated Ecological Data (2012) (642)
Nonlinear Dynamics, Chaos, and Instability: Statistical Theory and Economic Evidence (1991) (589)
Growth empirics and reality (2001) (552)
Money and Growth: The Case of Long Run Perfect Foresight (1974) (497)
Periodic market closure and trading volume: A model of intraday bids and asks☆ (1992) (458)
Black hole tariffs and endogenous policy theory : political economy in general equilibrium (1990) (445)
Stochastic methods in economics and finance (1983) (426)
Is the business cycle characterized by deterministic chaos (1988) (424)
Identification of Social Interactions (2010) (393)
Adaptive Capacity and Traps (2008) (376)
Black hole tariffs and endogenous policy theory (1989) (368)
Distinguishing random and deterministic systems: Abridged version (1986) (367)
Ecological and Social Dynamics in Simple Models of Ecosystem Management (1999) (357)
Asset Prices in a Production Economy (1982) (310)
Identification of binary choice models with social interactions (2007) (285)
General Resilience to Cope with Extreme Events (2012) (284)
Why systems of people and nature are not just social and ecological systems (2002) (281)
Spatial complexity, resilience and policy diversity: fishing on lake-rich landscapes (2004) (272)
Early Warning Signals of Ecological Transitions: Methods for Spatial Patterns (2014) (272)
The Economics of Special Interest Politics: The Case of the Tariff (1978) (271)
A Dynamic Structural Model for Stock Return Volatility and Trading Volume (1995) (254)
A simple perfect foresight monetary model (1975) (245)
Nonlinear Dynamics, Chaos, And Instability (1994) (241)
Price Setting Supergames with Capacity Constraints (1985) (236)
Socioeconomic Mechanisms Preventing Optimum Use of Ecosystem Services: An Interdisciplinary Theoretical Analysis (2000) (224)
PATHWAYS TO RANDOMNESS IN THE ECONOMY: EMERGENT NONLINEARITY AND CHAOS IN ECONOMICS AND FINANCE (1993) (202)
Small business economics (1989) (201)
Differential Equations, Stability and Chaos in Dynamic Economics (1989) (199)
Linear Social Interactions Models (2013) (196)
On Existence of Weakly Maximal Programmes in a Multi-Sector Economy (1970) (180)
More Hedging Instruments May Destabilize Markets (2008) (178)
Leading indicators of trophic cascades. (2007) (176)
The Economics of Small Businesses: Their Role and Regulation in the U. S. Economy (1987) (173)
Slow Response of Societies to New Problems: Causes and Costs (2003) (170)
A Multinomial-Choice Model of Neighborhood Effects (2002) (170)
Scaling in Economics: A Reader's Guide (1999) (164)
UNCERTAINTY AND THE MANAGEMENT OF MULTISTATE ECOSYSTEMS: AN APPARENTLY RATIONAL ROUTE TO COLLAPSE (2003) (164)
Evolutionary dynamics in markets with many trader types (2005) (164)
Dynamic Interaction of Societies and Ecosystems: Linking Theories from Ecology, Economy, and Sociology (2002) (159)
Global Asymptotic Stability of Optimal Control Systems with Applications to the Theory of Economic Growth (1976) (158)
Economic Growth and the Environment: A Review of Theory and Empirics. (2004) (156)
Managing Systems with Non-convex Positive Feedback (2003) (152)
Valuing Biodiversity from an Economic Perspective: A Unified Economic, Ecological and Genetic Approach (2001) (144)
The Analysis of Macroeconomic Policies in Perfect Foresight Equilibrium (1981) (141)
Pricing Uncertainty Induced by Climate Change (2019) (140)
A formal model of theory choice in science (1999) (133)
Panaceas and diversification of environmental policy (2007) (129)
Contestable Markets and the Theory of Industry Structure: A Review Article (1983) (125)
Time consistency and optimal government policies in perfect foresight equilibrium (1980) (116)
Variance as a Leading Indicator of Regime Shift in Ecosystem Services (2006) (116)
Discrete Choice with Social Interactions I: Theory (1995) (114)
Diffusion-Induced Instability and Pattern Formation in Infinite Horizon Recursive Optimal Control (2006) (109)
Models of complexity in economics and finance (1997) (107)
A Nonparametric Test For Independence Of A Multivariate Time Series (1989) (102)
Allowing variance may enlarge the safe operating space for exploited ecosystems (2015) (101)
Pattern Formation, Spatial Externalities and Regulation in Coupled Economic-Ecological Systems (2008) (97)
Interacting regime shifts in ecosystems: implication for early warnings (2010) (96)
The Economics Of Small Businesses (1986) (93)
Rational routes to randomness (1995) (86)
Spatial Analysis: Development of Descriptive and Normative Methods with Applications to Economic-Ecological Modelling (2004) (84)
Mapping collective behavior in the big-data era (2014) (81)
Nonlinearity And Complex Dynamics In Economics And Finance (1988) (80)
OPTIMAL PHOSPHORUS LOADING FOR A POTENTIALLY EUTROPHIC LAKE (2003) (77)
Uncertainty in discount models and environmental cccounting (2005) (72)
On Existence of Overtaking Optimal Trajectories Over an Infinite Time Horizon (1976) (71)
An Integration of Stochastic Growth Theory and the Theory of Finance, Part I: The Growth Model (1979) (70)
Optimal Economic Growth and Uncertainty: The No Discounting Case (1973) (70)
Optimal Ecosystem Management When Species Compete for Limiting Resources (2001) (70)
THEOREMS ON DISTINGUISHING DETERMINISTIC FORM RANDOM SYSTEMS (1988) (70)
Expectational diversity in monetary economies (2000) (70)
Defining a Safe Operating Space for inland recreational fisheries (2017) (69)
Optimal growth under factor augmenting progress (1969) (67)
Overlapping generations models with money and transactions costs (1990) (62)
Animal Spirits, Heterogeneous Expectations and the Emergence of Booms and Busts (2013) (61)
Wrestling with Uncertainty in Climate Economic Models (2018) (59)
Early warnings of regime shifts in spatial dynamics using the discrete Fourier transform (2010) (56)
The Kindergarten Rule of Sustainable Growth (2003) (56)
Nature and Society: An Imperative for Integrated Environmental Research (2000) (56)
Rational animal spirits (1998) (56)
On models of expectations that arise from maximizing behavior of economic agents over time (1972) (55)
Resilience and sustainability : the economic analysis of non-linear dynamic systems (2001) (54)
Early warnings of unknown nonlinear shifts: a nonparametric approach. (2011) (54)
Nonlinear Time Series, Complexity Theory, and Finance (1995) (53)
Stochastic Capital Theory (1989) (52)
Regime Shift in Fertilizer Commodities Indicates More Turbulence Ahead for Food Security (2014) (51)
Economics of regulatory tiering (1985) (48)
Early Warnings of Regime Shift When the Ecosystem Structure Is Unknown (2012) (47)
Simple Versus Optimal Rules as Guides to Policy (2007) (46)
Evolutionary dynamics in financial markets with many trader types (2001) (45)
Global asymptotic stability results for multisector models of optimal growth under uncertainty when future utilities are discounted (1978) (44)
Some Remarks on Monetary Policy in an Overlapping Generations Model (1979) (43)
Nonconvexities in ecological management problems (2000) (43)
A new approach for rapid detection of nearby thresholds in ecosystem time series (2014) (42)
Some Theory of Statistical Inference for Nonlinear Science: Expanded Version (1991) (40)
Sensitivity of Optimal Growth Paths with Respect to a Change in Target Stocks (1971) (40)
Local robustness analysis: theory and application (2005) (40)
Non-linear dynamical systems: Instability and chaos in economics (1991) (39)
Some Results on the Uniqueness of Steady States in Multisector Models of Optimum Growth when Future Utilities are Discounted (1973) (39)
Dynamic Ramsey Pricing (1985) (38)
Spurious Certainty: How Ignoring Measurement Error and Environmental Heterogeneity May Contribute to Environmental Controversies (2009) (38)
Tariff Formation in a Democracy (1980) (38)
Quick Fixes for the Environment: Part of the Solution or Part of the Problem? (2006) (37)
Climate Change Policy Under Polar Amplification (2016) (37)
Dynamics under Uncertainty (1979) (36)
Word Diffusion and Climate Science (2012) (35)
Spatial Climate-Economic Models in the Design of Optimal Climate Policies Across Locations (2012) (35)
Modeling Coupled Climate, Ecosystems, and Economic Systems (2015) (35)
8 Nonlinear time series and macroeconometrics (1993) (34)
An Axiomatic Basis for the Ramsey- Weizsacker Overtaking Criterion (1970) (33)
Adoption Curves and Social Interactions (2009) (33)
Adaptive rational equilibrium with forward looking agents (2006) (33)
Regime shifts, environmental signals, uncertainty, and policy choice (2005) (32)
Understanding macroeconomic time series using complex systems theory (1991) (31)
The Global Asymptotic Stability of Optimal Control with Applications to Dynamic Economic Theory (1975) (31)
Differential Games with Active and Passive Variables (1977) (30)
Synthesizing the Neo-Austrian and Alternative Approaches to Capital Theory : A Survey (2009) (29)
Asymmetric response of early warning indicators of phytoplankton transition to and from cycles (2013) (29)
Optimal Control in Space and Time and the Management of Environmental Resources (2014) (28)
Energy balance climate models and general equilibrium optimal mitigation policies (2013) (28)
Irreversibility in Economics (2009) (28)
Design Limits and Dynamic Policy Analysis (2008) (27)
Social interactions and macroeconomics (2005) (25)
Optimal Agglomerations in Dynamic Economics (2012) (25)
Robust Analytical and Computational Explorations of Coupled Economic-Climate Models with Carbon-Climate Response (2014) (25)
Energy Balance Climate Models and the Spatial Structure of Optimal Mitigation Policies (2012) (24)
Statistical tests for deterministic effects in broad band time series (1993) (23)
The economics of biodiversity and ecosystem services (2009) (22)
On the Long-Run Behaviour of a Competitive Firm (1977) (22)
Appropriate discounting leads to forward-looking ecosystem management (2006) (20)
PATHWAYS TO RANDOMNESS IN THE ECONOMY (1993) (20)
Elements of a Theory of Design Limits to Optimal Policy (2004) (20)
The lake game (2003) (20)
Profiling Problems with Partially Identified Structure (2006) (19)
Regular Economies and Conditions for Uniqueness of Steady States in Optimal Multi-Sector Economic Models (1976) (19)
A Revised Version of Samuelson’s Correspondence Principle: Applications of Recent Results on the Asymptotic Stability of Optimal Control to the Problem of Comparing Long Run Equilibria (1977) (19)
A Model of Politics, Tariffs and Rent-seeking in General Equilibrium (1983) (19)
Robust Control and Hot Spots in Spatiotemporal Economic Systems (2014) (18)
Liquidity Constraints in Production Based Asset Pricing Models (1989) (18)
On the observational implications of taste-based discrimination in racial profiling (2012) (17)
Spatial externalities and agglomeration in a competitive industry (2014) (17)
Regulating nonlinear environmental systems under Knightian uncertainty (2002) (17)
Climate Change Uncertainty Spillover in the Macroeconomy (2021) (17)
The repeated lake game (2002) (16)
Fitness landscapes among many options under social influence. (2016) (16)
Management of interacting species: regulation under nonlinearities and hysteresis☆ (2004) (16)
Modeling the Economics of Biodiversity and Environmental Heterogeneity (2010) (16)
Macroeconomics and model uncertainty (2004) (15)
Competitive Lending with Partial Knowledge of Loan Repayment (2008) (15)
Leading indicators of phytoplankton transitions caused by resource competition (2009) (15)
On characterizing optimal competitive programs in terms of decentralizable conditions (1988) (15)
Diagnostic testing for Nonlinearity Chaos, and General Dependence in Time Series Data (1991) (15)
Comparative Statics for Multidimensional Optimal Stopping Problems (1986) (15)
Chaos and Complexity in Economic and Financial Science (1990) (14)
Frequency-Specific Effects of Stabilization Policies (2008) (14)
Statistical Inference Theory for Measures of Complexity in Chaos Theory and Nonlinear Science (1989) (14)
Estimating a Path through a Map of Decision Making (2014) (13)
General Pattern Formation in Recursive Dynamical Systems Models in Economics (2009) (13)
Economics of environmental regulation (2000) (12)
The Design of Mechanisms for Efficient Allocation of Public Moods (1977) (11)
Animal Spirits, Heterogeneous Expectations, and the Amplification and Duration of Crises (2017) (11)
Whither nonlinear ? (2000) (11)
A Nonparametric Test For Temporal Dependence In A Vector Of Time Series (1988) (11)
Robust Control of a Spatially Distributed Commercial Fishery (2013) (10)
Some results on global asymptotic stability of difference equations (1975) (10)
Energy Balance Climate Models, Damage Reservoirs and the Time Profile of Climate Change Policy (2012) (10)
Asset Pricing in an Economy with Production: A "Selective" Survey of Recent Work on Asset-Pricing Models (1980) (10)
Climate Policy Under Cooperation and Competition between Regions with Spatial Heat Transport (2018) (9)
Heterogeneous beliefs and routes to complex dynamics in asset pricing models with price contingent contracts (2001) (9)
On Sturdy Policy Evaluation (2015) (9)
Biodiversity Management under Uncertainty: Species Selection and Harvesting Rules (2002) (9)
Competitive Lending with Partial Knowledge of Loan Repayment: Some Positive and Normative Analysis (2011) (9)
The polluted ecosystem game (2008) (9)
Validating niche-construction theory through path analysis (2016) (9)
Evaluating reproductive decisions as discrete choices under social influence (2016) (8)
Regional Climate Change Policy Under Positive Feedbacks and Strategic Interactions (2019) (8)
Optimal Control and Spatial Heterogeneity: Pattern Formation in Economic-Ecological Models (2005) (8)
Ecosystem Management in Models of Antagonistic Species Coevolution (2004) (8)
Stochastic Capital Theory I. Comparative Statics (1982) (8)
Spatial Analysis in Descriptive Models of Renewable Resource Management (2005) (7)
Complexity, Pedagogy, and the Economics of Muddling Through (2005) (7)
Robust Consumption and Energy Decisions (2016) (7)
Spatial Heat Transport, Polar Amplification and Climate Change Policy (2016) (7)
Climate Change Economics and Heat Transport across the Globe: Spatial-DSICE (2016) (7)
Economic growth and the environment: matching the stylized facts (2003) (7)
Modelling biodiversity and ecosystem services in coupled ecological-economic systems (2009) (7)
Growth Theory, Nonlinear Dynamics, and Economic Modelling: Scientific Essays of William Allen Brock (2001) (6)
Climate Policy under Spatial Heat Transport: Cooperative and Noncooperative Regional Outcomes (2019) (6)
Growth Theory, Nonlinear Dynamics and Economic Modelling (2001) (6)
Ideas on quantification of resilience-based management (1998) (6)
Models of Compelxity in Economics and Finance (1997) (5)
The Economy, Climate Change and Infectious Diseases: Links and Policy Implications (2020) (5)
Some Results on Global Asymptotic Stability of Control Systems (1975) (5)
The Global Asyrnptotic Stability of Optimal Control: A Survey of Recent Results (1976) (5)
Convex Solutions of Implicit Relations (1966) (5)
Regional climate policy under deep uncertainty: robust control and distributional concerns (2020) (5)
Comment on " Ecological and Social Dynamics in Simple Models of Ecosystem Management " by S . R . Carpenter (2000) (4)
Hicksian Non-Linearity (1991) (4)
Bayes' learning of unknown parameters (2007) (4)
On Understanding the Cyclical Behavior of the Price Level and Inflation (2014) (4)
Nonlinear Dynamics, Chaos, and Instability - Unix version (1992) (4)
Principal-agent contracts in continuous time asymmetric information models the importance of large continuing information flows (1996) (3)
Regional Climate Policy under Deep Uncertainty: Robust Control, Hot Spots and Learning (2019) (3)
The Green Solow model Author ( s ) : (2017) (3)
A tale of two correlations: Evidence and theory regarding the phase shift between the price level and output (2016) (3)
THE THEORY OF STATISTICAL INFERENCE FOR NONLINEAR SCIENCE: GAUGE FUNCTIONS, COMPLEXITY MEASURES, AND INSTABILITY MEASURES (1988) (3)
growth models, multisector (2010) (3)
The Importance of Small Decisions (2019) (3)
Logarithmic Depreciation (2019) (2)
Adjustment Costs and Long Run Spatial Agglomerations (2013) (2)
Is the Original Taylor Rule Enough? Simple versus Optimal Rules as Guides to Monetary Policy (2006) (2)
11 Hicksian Non-Linearity* (1991) (2)
Some mathematical tools for analysing complex-nonlinear systems (2000) (2)
ON EXISTENCE OF WEAKLY MAXIMAL PROGRAMS IN VON NEUMANN GROWTH MODELS (1968) (2)
Robust Control and Hot Spots in Dynamic Spatially Interconnected Systems (2010) (2)
Optimal management in Tilmania: a compatitive species assembly constrained by a limiting factor (1998) (1)
TWO APPROACHES TO MODELING UNCERTAINTY: HOW DID UNCERTAINTY AFFECT THE ECONOMY DURING AND AFTER THE GREAT RECESSION? (2018) (1)
1 Asset Prices in a Production Economy (1982) (1)
Inflation Dynamics and Inflation Uncertainty in a Model with Heterogeneous Forecasts (2014) (1)
The Emergence of Optimal Agglomeration in Dynamic Economics (2009) (1)
Peterson et al – A rational route to collapse Uncertainty and the Management of Multi-state Ecosystems : An Apparently Rational Route to Collapse Running Head : rational route to collapse (2002) (1)
Economic Dynamics: An Optimal Control Framework (1986) (1)
Economics for ecologists: a reader's guide (2001) (1)
Beyond RCP8.5: Marginal mitigation using quasi-representative concentration pathways (2021) (1)
Comment on “ Growth Empirics and Reality , ” by (2013) (1)
A new construction of circulant GHb 2 ; Z , (2001) (1)
SERIES WP 0611 More hedging instruments may destabilize markets (2009) (1)
OPTIMAL PHOSPHORUS LOADING FOR A POTENTIALLY (2003) (1)
Energy balance climate models and the economics of climate change (2011) (1)
On Processing Central Bank Communications: Can We Account for Fed Watching? (2019) (0)
Optimal Carbon Taxes with Non-Constant Time Preference (2019) (0)
Spatial Environmental and Resource Economics (2020) (0)
The Political Economy of Shallow Lakes 1 (2007) (0)
ESSAY VII – Global Asymptotic Stability of Optimal Control Systems with Applications to the Theory of Economic Growth* (1976) (0)
Expanding the domain of macroeconomic theory (2008) (0)
.2 Introduction 1.2.1 Social Interactions and Applications (0)
Discrete Choice with Social Interactions Author ( s ) : (2007) (0)
Regional Climate Change Policy under Positive Feedbacks and Strategic Interactions 1 (2018) (0)
Regional Climate Policy under Deep Uncertainty (2019) (0)
Learning Parameters in Non Linear Ecological Models (2006) (0)
American Economic Association A Multinomial-Choice Model of Neighborhood Effects (2008) (0)
Butterflies and business cycles: Is economic turbulence like nature's turbulence? (1990) (0)
Asymmetric response of early warning indicators of phytoplankton transition to and from cycles (2013) (0)
MOSAIC MANAGEMENT IN METAPOPULATION MODELS: Optimal Management of Interrelated Species in Patchy Environments (2001) (0)
Bosnia and Herzegovina - Social Sector Technical Assistance Credit (2004) (0)
Research for coastal plain area of state. (1970) (0)
More Gale Tales (2009) (0)
Animal Spirits, Heterogeneous Expectations and the Amplification and Duration of Crises (2012) (0)
Competing takes hard work (1986) (0)
INTEGRATED ECONOMIC STRUCTURES: A NEW APPROACH (1965) (0)
The Kindergarten Rule of Sustainable Growth 3 / 13 / 2003 (2003) (0)
World Bank Economic Review 15 (2), May 2001 (2001) (0)
More on maps, terrains, and behaviors (2014) (0)
warnings of critical transitions in time series 3 illustrated using simulated ecological data . 4 (2012) (0)
Using Econometric, Statistical, Survey, and In-Depth Interview Methods to Document Consumption Pattern 'Contagion' in the Voluntary Simplicity Movement (2013) (0)
To Fed Watch or Not to Fed Watch: Equilibrium Analysis of Bank System Dynamics (2017) (0)
Limited Discrete Choice with Social Interactions (2001) (0)
Is the Business Cycle Characterized by Deterministic Chaos? (2021) (0)
A SIMPLE FE CT FORESIGHT MONETARY MODEL (2002) (0)
Climate change policy under spatial heat transport and polar amplification (2016) (0)
NBER WORKING PAPER SERIES ECONOMIC GROWTH AND THE ENVIRONMENT : A REVIEW OF THEORY AND EMPIRICS (0)
Authors' response. more on maps, terrains, and behaviors. (2014) (0)
Robust Control and Hot Spots in Spatiotemporal Economic Systems (2014) (0)
Do hedging instruments stabilize markets (2004) (0)
UvA-DARE ( Digital Academic Repository ) More hedging instruments may destabilize markets (2008) (0)
Spatiotemporal robust control in infinite dimensional spaces (2014) (0)
Adaptive Rational Equilibrium with Forward Looking Agents, fortcoming in International Journal of Economic Theory (IJET) 2006, special issue in honor of Jean-Michel Grandmont (2005) (0)
Production of cucumbers for pickles (1974) (0)
American Economic Association Frequency-Specific Effects of Stabilization Policies (2010) (0)

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