# Northwestern University, Center for Mathematical Studies in Economics and Management Science

# Discussion Papers

**Contact information of Northwestern University, Center for Mathematical Studies in Economics and Management Science:**

Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014

Phone: 847/491-3527

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Web page: http://www.kellogg.northwestern.edu/research/math/

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### 1979

**366 Semisimple Games and Generalized Power Indices***by*Edward Packel**365 A Unification and Generalization of the Eaves and Kojima Fixed Point Representations of the Complementarity Problem***by*Shu-Cherng Fang & Elmor L. Peterson**354 Stochastic Equilibrium and Optimality with Rolling Plans***by*Daniel F. Spulber & David Easley**348 A Mathematical Programming Generator System in APL***by*Edward A. Stohr**340 On The Design of Automatic Price Adjustment Mechanisms***by*David P. Baron & Raymond R. DeBondt

### 1978

**406 Rational Expectations***by*Paul R. Milgrom**387 Deviations from Optimal Pricing of Lower Colorado River Water***by*Elizabeth Hoffman**364 A Bidding Model of Price Formation Under Uncertainty***by*Paul Milgrom**363 Conference Structures and Fair Allocation Rules***by*Roger B. Myerson**362 Optimal Auction Design***by*Roger B. Myerson**361 Path Independent Choices***by*Ehud Kalai & Nimrod Megiddo**360 Pursuing Mobile Hiders in a Graph***by*Nimrod Megiddo & S.L. Hakimi**359 Price Regulation, Quality, and Asymmetric Information***by*David P. Baron**358 Polynomially Bounded Algorithms for Locating p-Centres on a Tree***by*R. Chandrasekaran & A. Tamir**357R Location on Tree Networks: P-Centre and n-Dispersion Problems***by*R. Chandrasekaran & A. Daughety**356R Stochastic Production and Cost Production Duality***by*Andrew Daughety**355 Expectations and Equilibrium with Incomplete Markets***by*David Easley & Peter McCabe**353 Optimal Policies and Steady-State Solutions for Inventory Problems with Markovian Uncertainty***by*David Easley & Daniel F. Spulber**352 Impossibility Results in the Axiomatic Theory of Intertemporal Choice***by*Edward Packel**351 Consumer Information***by*Mark A. Satterthwaite**350 A Structure for Computer-Aided Corporate Planning***by*Jean-Marie Blin**349 Approximate Convexity of Average Sums of Sets in Normed Linear Spaces***by*M. Ali Khan**347 A Dynamic Process of Exchange***by*Stanley Reiter**346 A Model of Technology with Innovation***by*Stanley Reiter**345 Decomposition and Recoverability of Relations***by*Nancy D. Griffeth**344 Transformations Between Relational Databases***by*Nancy D. Griffeth**343 Investment Policy***by*David P. Baron**342 The Design of a Corporate Planning System Simulator***by*Edward A. Stohr & Mohan Tanniru**341 Characterization of the Private Alternative Domains Admitting Arrow Social Welfare Functions***by*Ehud Kalai & Zvi Ritz**339 Prices and Market Imbalance Indexes in a General Equilibrium Model***by*Roger B. Myerson**338 An Axiomatic Derivation of Subjective Probability***by*Roger B. Myerson**337 The Number of Outcomes in the Pareto-Optimal Set of Discrete Bargaining Games***by*Barry O'Neill**336 The Allocation of Public Goods with Sealed-Bid Auctions: Some Preliminary Evaluations***by*John O. Ledyard**335 A Simple Model of Equilibrium Price Dispersion***by*Jennifer F. Reinganum**334 On Cyclical Motion in Dynamic Economics***by*Michael J. P. Magill**333 The Deadly Fungus: An Econometric Investigation into the Short Term Demographic Impact of the Irish Famine***by*Joel Mokyr**332 A Property of Matrices with Positive Determinants***by*M. Kojima & R. Saigal**331 On the Design of Optimal Mechanisms for the Arrow-Hahn-McKenzie Economy***by*C. Robinson & G.L. Suchanek**330 Monetarist Interpretations of the Great Depression: A Rejoinder***by*Robert J. Gordon & James A. Wilcox**329 A Group Incentive Compatible Mechanism Yielding Core Allocation***by*Ehud Kalai**328 On The Relationship Between Conditions that Insure a PL Mapping is a Homeomorphism***by*M. Kojima & R. Saigal**327 A Study of PCl Homeomorphisms on Subdivided Polyhedrons***by*M. Kojima & R. Saigal**326 On the Number of Solutions for a Class of Linear Complementarity Problems***by*M. Kojima & R. Saigal**325 An Extended Single Peak Condition in Social Choice***by*Ehud Kalai & Zvi Ritz**324 Dynamics Under Uncertainty***by*William A. Brock & Michael J. P. Magill**323 Functions for Measuring the Quality of Approximate Solutions to Zero-One Programming Problems***by*Eitan Zemel**322 On The Theory of Layoffs***by*Dale T. Mortensen**321 Linearity, Concavity, and Scale Invariance in Social Choice Functions***by*Roger B. Myerson**320 Specific Capital, Bargaining, and Labor Turnover***by*Dale T. Mortensen**319 The Relationship Between Attributes, Brand Preference and Choice: A Stochastic View***by*Jean-Marie Blin & Joe A. Dodson**318 Stability of Aggregation Procedures, Ultrafilters and Simple Games***by*Pierre Batteau**317 Optimal Consumption and Exploration of Nonrenewable Resources Under Uncertainty***by*S. D. Deshmukh & Stanley R. Pliska**315 Regulatory Pricing Policies and Input Choices Under Uncertainty***by*David P. Baron & Robert Taggart Jr.**314 Studying Economic Equilibria on Affine Networks Via Lemke's Algorithm***by*Richard Asmuth**312 The Protective Effect of a Tariff Under Uncertainty***by*Elhanan Helpman & Assaf Razin**310 A Methodology for Automated Systems Design***by*Edward A. Stohr**309 A 'Trade Out of Equilibrium' Model of the Stock Market***by*Lawrence R. Glosten**301 Input-Output Methods in Forecasting***by*J.M. Blin**291 Intensity Measures of Consumer Preferences***by*John R. Hauser & Steven Shugan**268 Optimal Pricing of Computer Resources in a Competitive Environment***by*V. Balachandran & Edward A. Stohr

### 1977

**316 Optimal Search Over Sets of Distributions***by*Daniel F. Spulber**313 Nonprocedural Query Processing for Databases with Access Paths***by*Nancy Griffeth**311 On Piecewise Linear Approximations to Smooth Mappings***by*R. Saigal**308 The Fixed Point Approach to Nonlinear Programming***by*Romesh Saigal**307 A Note on Aggregation and Disaggregation***by*Walter D. Fisher**306 The Stability of Equilibrium***by*Michael J.P. Magill**305 Oligopoly and Competition in Large Markets***by*Masahiro Okuno**304 Development of a Corporate Information System***by*J. M. Blin**303 Nash-Cournot Equilibrium With Entry***by*William Novshek**302 A Game of Barter with Barriers to Trade***by*Ehud Kalai**300 A Survey of the Applications of the Operator Theory of Parametric Programming for the Transportation and Generalized Transportation Problems***by*V. Balachandran**299 Overhead Allocation Via Mathematical Programming***by*V. Balachandran & David A. Dittman**298 A Mathematical-Programming Model for Optimal Selection of Tourism Plans and Gateways for the Airline Industry***by*V. Balachandran & Suresh Jain**297 Labor Supply Under Uncertainty***by*Kenneth Burdett & Dale T. Mortensen**296 The Origin of Cycling in Dynamic Economic Models Arising from Maxamizing Behavior***by*Michael J. P. Magill**295 Refinements of the Nash Equilibrium Concept***by*Roger B. Myerson**294 The Effect of Increased Supply on Equilibrium Price : A Theory for the Strange Case of Physicians' Services***by*Mark A. Satterthwaite**293 On Stockholder Unanimity Towards Changes in Production Plans***by*Mark A. Satterthwaite**292 P.A.R.I.S. - An Interactive Market Research Information System***by*Steven Shugan & John R. Hauser**290 Multiple Working Bases for Generalized and Variable Upper Bounding Linear Programs***by*Amorosu Agbadudu & Bala V. Balachandran**289 Specific Human Capital and Labor Turnover***by*Dale T. Mortensen**288 Threat Equilibria and Fair Settlements in Cooperative Games***by*Roger B. Myerson**287 Consumer Preference Axioms: Behavioral Postulates for Describing and Predicting Stochastic Choice***by*John R. Hauser**286 Testing the Accuracy***by*John R. Hauser**285 Efficient Measurement of Consumer Preference Functions: A General Theory for Intensity of Preference***by*John R. Hauser & Steven M. Shugan**284 Incentive Compatability and the Bargaining Problem***by*Roger B. Myerson**283 Competitive Efficiency in an Overlapping-Generation Model with Endogenous Population***by*Elisha A. Panzer & Assaf Razin**282 Research, Development and Technological Change in a Growing Economy***by*Dan Spulber**281 A Note on Monopoly Power in the Supply of a Natural Resource***by*Elhanan Helpman & Assaf Razin**280 A Simple Game of Exchange***by*Ehud Kalai & John Roberts**279 Strategic Behaviour in Planning Procedures with Private Goods***by*Francoise Schoumaker**278 A Short Note on a Linear Equation Associated With Certain Economic Response Systems***by*R. Chandrasekaran & A. Daughety**277 A Time Series Approach to the Computation of Efficient Portfolios from Historic Data***by*Edward Stohr**276 Towards a Consistent Comparison Between Alternative Exchange Rate Systems***by*Elhanan Helpman & Assaf Razin**275 The Design of Mechanisms for Efficient Allocation of Public Moods***by*William A Brock**274 Applications of Recent Results on the Asymptotic Stability of Optimal Control to the Problem of Comparing Long Run Equilibria***by*W. A. Brock**273 The Duality Between Suboptimization and Parameter Deletion***by*Elmor L. Peterson**272 Linear Functionals of Convex Sets with Applications to Economics***by*Ehud Kalai & Roger B. Myerson**271 Unemployment Insurance and Labor Supply Decisions***by*Dale T. Mortensen**270 Geometric Duality Via Rockafellar Duality***by*Elmor L. Peterson**269 A Class of Conjugate Gradient Algorithms with a Two-Step Variable Metric Memory***by*Avinoam Perry**267 Values of Games Without Sidepayments***by*Ehud Kalai & Roger B. Myerson**266 Apportionment Methods and the House of Representatives***by*Donald G.Saari**265 A Mathematical Programming Model for Optimal Product Line Structuring***by*Steven M. Shugan & V. Balachandran**264 Incentives in Planning Procedures for the Provision of Public Goods***by*John Roberts**255 The Optimal Exploitation of an Unknown Reserve***by*Glenn C. Loury**243 Information Systems for Observing Inventory Levels***by*Edward A. Stohr**241 On the Relationship Between Complete and Incomplete Financial Markets Models***by*David P. Baron**234 Characterization of Domains Admitting Nondictatorial Social Welfare Functions and Nonmanipulable Voting Procedures***by*Ehud Kalai & Eitan Muller**179 Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons***by*Ehud Kalai**164 A Mathematical Programming Approach to the Scheduling of Sorting Operations***by*Frederic H. Murphy & Edward A. Stohr

### 1976

**5 A Partial Characterization of Organizations and Environments Which are Consistent With Incentive Compatibility***by*John O. Ledyard**263 Ordinary Duality Vis-a-Vis Geometric Duality***by*Elmor L. Peterson**262 Best Replay Strategies in the Champsaur-Dreze-Henry Procedure***by*Francoise Schoumaker**261 Efficient Acceleration Techniques for Fixed Point Algorithms***by*R. Saigal & M.J. Todd**260 The Incentive for Creation of Complete Securities Markets***by*Mark A. Satterthwaite**259 Effective Price Mechanisms***by*Donald G. Saari & Carl P. Simon**258 The Spatial Configuration Which Minimizes the Length of the Black-White Border***by*Glenn C. Loury**257 Scalar and Vector Maximization: Calculus Techniques with Economics Applications***by*Carl P. Simon**256 Market Structure and Innovation***by*Glenn C. Loury**254 Fixed Point Computing Methods***by*Romesh Saigal**253 Straightforward Allocation Mechanisms***by*Mark A. Satterthwaite**252 Fenchel's Duality Thereom in Generalized Geometric Programming***by*Elmor L. Peterson**251 Structural Unemployment and the Productivity of Women***by*Robert J. Gordon**250 The Theory of Domestic Inflation***by*Robert J. Gordon**249 Externalities, Public Goods and the Generic Stucture of Pareto Sets***by*Donald G. Saari**248 A Technical Note on Cartel Stability in Large Economies***by*Andrew Postlewaite & John Roberts**247 Two-Person Bargaining Problems and Comparable Utility***by*Roger B. Myerson**246 Graphs and Cooperation in Games***by*Roger B. Myerson**245 An Extension of the Kakutani Fixed Point Therorem***by*Roger B. Myerson**244 Value of Games in Partition Function Form***by*Roger B. Myerson**242 On Group Manipulability of Voting Procedures***by*Pierre Batteau & Jean-Marie Blin**240 Stone's Conjecture on Fair-Return Processes: Counter Example and Rectification***by*Prem Prakash**239 Saddle Points and Duality in Generalized Geometric Programming***by*Elmor L. Peterson**238 The Qualitative Implications of a Simple Model of Optimal Human Capital Formation***by*Peter McCabe**237 Assignment Models in Voting Theory***by*Jean-Marie Blin**236 Social Welfare Functions When Preferences are Convex and Continuous: Impossibility Results***by*Ehud Kalai**235 A General Class of Symmetric Quasi-Newton Updates***by*Avinoam Perry**233 The Optimal Resource-Capital Ratio and Market Structure***by*Morton I. Kamien & Nancy L. Schwartz**232 An Integrated System for the Interactive Nonlinear Programming Computations***by*Claude Cohen & Barry Robinson**231 Dissemination and Maintenance of Mathematical Programming Software: Experience With M.P.O.S***by*Claude Cohen & Jack Stein**230 A Zero-Sum Stochastic Game Model of Duopoly***by*S. D. Deshmukh & Wayne Winston**229 A Modified Conjugate Gradient Algorithm***by*Avinoam Perry**228 A Self Correcting Conjugate Gradient Algorithm***by*Avinoam Perry**227 The Incentives for Price-Taking Behavior When Consumers Have Incomplete Information***by*John Ledyard**226 Intergenerational Transfers and the Equilibrium Distribution of Earnings***by*Glenn C. Loury**225 A Dynamic Theory of Racial Income Differences***by*Glenn C. Loury**224 Social Decision, Strategic Behavior and Best Outcomes: An Impossibility Result***by*Allan Gibbard**223 Self-Financing of an R & D Project***by*Morton I. Kamien & Nancy L. Schwartz**222 On The Desirability of Equalizing Welfare and Potential Income***by*Elisha A. Pazner**221 Optimality Conditions in Generalized Geometric Programming***by*Elmor L. Peterson**220 The Constrained Least-Squares Paradox***by*Avinoam Perry**219 Some Limitations of Demand Revealing Processes***by*Theodore Groves & John O. Ledyard**218 Optimal Sampling and the Right-Hand-Side of A Linear Program: Sensitivity Analysis Revisited***by*Andrew F. Daughety**217 A Unified Approach to R & D Management***by*S. D. Deshmukh & S. D. Chikte**216 Existence and Optimality of Equilibrium in Labor-Managed Economies***by*Joseph Greenberg**215 Arbitration of Two-Party Disputes Under Ignorance***by*Ehud Kalai & Robert W. Rosenthal**214 Optimal Control of Some Markov Processes with Applications to Batch Queueing and Continuous Review Inventory Systems***by*Howard J. Weiss & Stanley R. Pliska**212 On Preferences, Beliefs and Manipulation Within Voting Situations***by*Jean-Marie Blin & Mark A. Satterthwaite**211 Environmental Management in General Equilibrium: A New Incentive Compatible Approach***by*Rudiger Pethig**210b Optimal Tax Schemes for Financing Local Public Goods***by*Joseph Greenberg**210a Quasi Equilibrium in Abstract Economies Without Ordered Preferences***by*Joseph Greenberg**209 A Multiple Criteria Response Surface Optimization Procedure***by*Avinoam Perry**208 Equilibrium in an Economy With Changeable Preferences***by*Bengt-Arne Wickstrom**207 The Conical Duality and Complementarity of Price and Quality for Multicommodity Spatial and Temporal Network Allocation Problems***by*Elmor L. Peterson**206 Duality in Unconstrained Optimization***by*Avinoam Perry**205 Stochastic Control of Competition Through Prices***by*S. D. Deshmukh & Wayne Winston**204 A Model of Regulation Under Uncertainty and a Test of Regulatory Bias***by*David P. Baron & Robert A. Taggart Jr.**203 Straightforwardness of Game Forms with Lotteries as Outcomes***by*Allan Gibbard**202 Aggregation Procedure for Cardinal Preferences: A Formulation and Proof of Samuelson's Conjecture that Arrow's Impossibility Theorem Carries Over to Cardinal Preferences***by*Ehud Kalai & David Schmeidler**201 The Demand for and Supply of Inflation***by*Robert J. Gordon**200 The Global Asyrnptotic Stability of Optimal Control: A Survey of Recent Results***by*William A. Brock**198 Dynamic Investment Strategies for a Risky R&D Project***by*S. D. Deshmukh & S. D. Chikte**197 Stochastic Evolution and Control of an Economic Activity***by*S. D. Deshmukh & S. D. Chikte**196 On Expected Present Value Vs. Expected Future Value: Further Remarks***by*Elisha A. Pazner & Assaf Razin**195 An Impossibility Theorem for Voting With a Different Interpretation***by*Eitan Muller & Mark Satterthwaite**194 Counterfactuals and Two Kinds of Expected Utility***by*Allan Gibbard & William L Harper**193 The Manipulation of Social Choice Mechanisms That Do Not Leave 'Too Much' to Chance***by*Salvador Barbera**182 Models of New Product Diffusion Through Advertising and Word-of-Mouth***by*Joe A. Dodson Jr.**180 Singularity Theory of Utility Mappings I: Degenerate Maxima and Pareto Optima***by*Donald G. Saari & Carl P. Simon**175 Manipulation of Schemes that Mix Voting with Chance***by*Allan Gibbard**169 On the Foundations of the Theory of Monopolistic Competition***by*John Roberts & Hugo Sonnenschein**163 Technological Similarity and Aggregation in Input-Ouput Systems: A Cluster- Analytic Approach***by*Jean-Marie Blin & Claude Cohen**156 Market Games with Production and Public Commodities***by*Robert W. Rosenthal**145 Equilibrium with Externalities***by*Wayne Shafer & Hugo Sonnenschein**144 Optimal Allocation of Public Goods: A Solution to the 'Free Rider Problem'***by*Theodore Groves & John Ledyard

### 1975

**65 Least Squares and Stochastic Difference Equations***by*Bernt P. Stigum**213 Optimal Exhaustible Resource Depletion with Endogenous Technical Change***by*Morton I. Kamien & Nancy L. Schwartz**199 Recent Developments in the Theory of Inflation and Unemployment***by*Robert J. Gordon**192 Conversion of Semimarkov Processes to Chung Processes***by*Erhan Cinlar**191 An Admissible Set Occurring in Various Bargaining Situations***by*E. Kalai & D. Schmeidler**190 Equity Foundations of Welfare Economics***by*Elisha A. Pazner**189 A Modified Conjugate Gradient Algorithm for Unconstrained Nonlinear Optimization***by*Avinoam Perry**188 Strategy-Proofness and Single-Peakedness***by*Jean-Marie Blin & Mark Satterthwaite**187 A Note on the Core of a Game Without Side-Payrnents***by*Tatsuro Ichiishi**186 On Strict Regeneration***by*Erhan Cinlar**185 Asymptotic Efficiency of Bechhofer's Single-Stage Procedure Relative to a Two- Stage Procedure for Selecting the Largest Normal Mean***by*Ajit Tamhane**184 Coase's Theorem and the Choice of Liability Rules***by*Shmuel Amir & Joseph Greenberg**183 Individual Decisions and Group Decisions: The Fundamental Differences***by*Jean-Marie Blin & Mark A. Satterthwaite**181 Pitfalls in the Theory of Fairness***by*Elisha A. Pazner

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