# 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

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

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### 1975

**178 Induced Outcomes in Cooperative Normal-Form Games***by*Robert W. Rosenthal**177 Choice and Selection in Income Contingent Loan Plans***by*Suresh Jain**176 Optimal Control of Service Quality in a Queueing System***by*S. D. Deshmukh & Suresh Jain**174 Egalitarian Equivalent Allocations: A New Concept of Economic Equity***by*Elisha A. Pazner & David Schmeidler**173 The Formation of Firms in Labor-Managed Economies***by*J. Greenberg**172 Towards the General Equilibrium Theory of the Labor-Managed Market Economy***by*Tatsuro Ichiishi**171 An Interactive Package of Programs for Unconstrained Optimization Purposes UCNLP***by*Avinoam Perry**170 Construction of a Continuous Utility Function for a Class of Preferences***by*Kenneth R. Mount & Stanley Reiter**168 On the Informational Size of Message Spaces***by*Mort Walker**167 Some Recent Results on the Existence of Equilibrium in Finite Purely Competitive Economies***by*Hugo Sonnenschein**166 Incentive Compatible Control of Decentralized Organizations***by*Theodore Groves**165 The Complementary Unboundedness of Dual Feasible Solution Sets in Convex Programming***by*Elmor L. Peterson**162 On the Number of Solutions to the Linear Complementarity Problem***by*Arie Tamir**161 Capital Structure and the Value of the Firm***by*Frederic H. Murphy**160 A Theorem on Correspondences and Some Applications***by*Mark Walker**159 Optimal Stochastic Development Strategy***by*S.D. Deshmukh & S.D.Chikte**158 A Dynamic Programming Algorithm for Check Sorting***by*Frederic H. Murphy & Edward A. Stohr**157 On Totally Unimodular Matrices***by*Arie Tamir**155 Cheatproofness Properties of the Plurality Rule in Large Societies***by*Elisha A. Pazner & Eugene Wesley**154 Stability of Social Choices in Infinitely Large Societies***by*Elisha A. Pazner & Eugene Wesley**153 On a Fundamental Result in Stochastic Dominance Theory***by*Arie Tamir**152 Fenchel's Hypothesis and the Existence of Recession Directions in Convex Programming***by*Elmor L Peterson**151 The Global Asymptotic Stability of Optimal Control with Applications to Dynamic Economic Theory***by*William A. Brock & Jose Scheinkman**150 Some Results on Global Asymptotic Stability of Control Systems***by*William A. Brock & Jose Scheinkman**149 Optimal Facility Location under Random Demand with General Cost Structure***by*V. Balachandran & Suresh Jain**148 Measure Structures for Function Spaces***by*Eugene Wesley**147 Financial Planning in a Multinational Firm Facing Flexible Exchange Rates***by*David P. Baron & Richard M. Soland**146 Entrance-Exit Distributions for Semiregenerative Processes***by*Erhan Cinlar**143 Rates of Convergence of a One-Dimensional Search Based on Interpolating Polynomials***by*Arie Tamir**142 Qualitative Variables and Simultaneous Equation Econometric Models***by*Jay Magidson**141 Optimal Capital Accumulation and Durable Goods Production***by*Morton I. Kamien & Nancy Schwartz**140 Spatial Population Dynamics***by*Andrei Rogers & Frans Willekens**139 Symmetry and Diversification of Interdependent Prospects***by*Arie Tamir**138 Optimal Target Dates and Penalties for Contract Work***by*Edward A. Stohr**137 Pre-Leontief Functions and Least Elements***by*Arie Tamir**136 Optimal Control with Integral State Equations***by*Morton I. Kamien & E. Muller**134 Comparative Analysis of Income Contingent Plans***by*Suresh Jain & Harvey M. Wagner**133 On the Structure of Semimarkov Processes and their Conversion to Chung Processes***by*Erhan Cinlar**132 Lindahl's Solution and Values for A Public-Goods Example***by*Robert W. Rosenthal**131 Optimal Information Storage Systems***by*V. Balachandran & S. D. Deshmukh**130 Traffic Equilibria Analysed Via Geometric Programming***by*Michael A. Hall & Elmor L. Peterson**129 An Impossibility Theorem for Deterministic Organizations***by*Jean-Marie Blin & Mark A. Satterthwaite**128 Multiregional Population Projection***by*Andrei Rogers & Jacques Ledent**127 Flexible Exchange Rates***by*David P. Baron**121 An Arbitration Model for Normal-Form Games***by*Robert W. Rosenthal**116 On the Incentive Problem with Public Goods***by*John Ledyard & John Roberts**111 On the Interrelationship Between Gomory and Dantzig Cutting Planes***by*Avinoam Perry

### 1974

**99 An Optimum Seeking Algorithm for Locating Lock Boxes***by*Abinoam Perry**98 Transportation Type Problems with Quantity Discounts***by*V. Balachandran & A. Perry**97 An Economic System Combining Market and Planning Control Subsystems***by*Robert L. Welch**96 The Generalized Symmetric Eigenproblem in Multivariate Statistical Models***by*Claude Cohen**95 A Strengthened Modified Dantzig Cut for All Integer Program***by*Avinoam Perry**94 Equilibrium in Abstract Economies Without Ordered Preferences***by*Wayne Shafer & Hugo Sonnenschein**93 The Strengthened Gomory Mixed Integer Cut for the All Integer Program***by*Avinoam Perry**92 On the Existence of Noncooperative Equilibria in Social Systems***by*Prem Prakash & Murat R. Sertel**91 Sufficient Conditions for Insensitivity in Linear Models***by*Robert W. Rosenthal**90 Branching Processes in Simple Random Walk***by*Meyer Dwass**89 The Possibility of a Cheatproof Social Choice Function: A Theorem of A. Gibbard and M. Satterthwaite***by*David Schmeidler & Hugo Sonnenschein**88 The Demand Theory of the Weak Axiom of Revealed Preference***by*Richard Kihlstrom**87 Information, Incentives and the Internalization of Production Externalities***by*Theodore Groves**86 Decentralized Disequilibrium Trading and Price Formation***by*John O. Ledyard**85 Global Asymptotic Stability of Optimal Control Systems with Applications to the Theory of Economic Growth***by*William A. Brock & Jose A. Scheinkman**84 Cost Evaluation of Storage Schemes***by*Jair M. Babad**83 Hyperspaces of Topological Vector Spaces: Their Embedding in Topological Vector Spaces***by*Prem Prakash & Murat R. Sertel**82 On the Continuity of Cartesian Product and Factorisation***by*Prem Prakash & Murat R. Sertel**81 Continuous Representation of Preferences***by*Kenneth R. Mount & Stanley Reiter**80 A Note on Returns to Group Size and the Core with Public Goods***by*Donald John Roberts**79 Line Search Techniques Based on Interpolating Polynomials Using Function Values Only***by*Arie Tamir**78 A Model of Project Activity***by*Edward A. Stohr**77 Search Equilibrium and the Core in a Decentralized Pure Exchange Economy***by*Dale T. Mortensen**76 Optimal Production Growth for the Machine Loading Problem***by*V. Balachandran**75 Minimality and Complementarity Properties Associated with Z-Functions and M-Functions***by*Arie Tamir**74 An Addendum: Pure Interest and the General Case of Time State Preference for Monetary Income***by*Prem Prakash**73 Proof that the Existence of Pure Interest Fixes the Admissible Functional Forms of the Cardinal Utility for Monetary Income***by*Prem Prakash**72 Strategy Proofness and Independence of Irrelevant Alternatives: Existence and Equivalence Theorems for Voting Procedures***by*Mark Allen Satterthwaite**71 Cournot Oligopoly with Uncertain Entry***by*Morton I. Kamien & Nancy L. Schwartz**70 An Iterative Procedure for Non-Discounted Discrete-Time Markov Decisions***by*Gary J. Koehler**69 Regenerative Processes and Regeneration Sets***by*Erhan Cinlar**68 The Solution of Leontief Substitution Systems Using Matrix Iterative Techniques***by*Gary J. Koehler**67 An Operator Theory of Parametric Programming for the Generalized Transportation Problem, I : Basic Theory***by*V. Balachandran & G.L. Thompson**66 A Note on 'Computational Simplifications in Solving Generalized Transportation Problems,' by Glover and Kingman***by*V. Balachandran & G.L. Thompson**64 On the Degree of Rivalry for Maximum Innovative Activity***by*Morton I. Kamien & Nancy L. Schwartz**48 Design of an Optimization System for University Use***by*Claude Cohen**39 The Smoothed Exchange Rate Approach to Parity Adjustment***by*Jean-Marie Blin & Frederic H. Murphy**29 Incentives and Public Inputs***by*Theodore Groves & Martin Loeb**126 A Limit Theorem on the Cheatproofness of the Plurality Rule***by*Elisha A. Pazner & Eugene Wesley**125 Infinite Voters and the Possibility of a Cheatproof Social Choice Function***by*Elisha A Pazner & Eugene Wesley**124 Economic Environments for which there are Pareto Satisfactory Mechanisms***by*Kenneth Mount & Stanley Reiter**123 Rational Price Dispersion***by*Dale T. Mortensen**122 Strategy-Proofness and Arrow's Conditions: Existence and CorrespondenceTheorems for Voting Procedures and Social Welfare Functions***by*Mark Allen Satterthwaite**120 On the Definition of Informational Size***by*Kenneth Mount & Stanley Reiter**119 An Incentive Mechanism for Efficient Resource Allocation in General Equilibrium with Public Goods***by*Theodore Groves & John Ledyard**118 Markov Additive Processes and Semi-Regeneration***by*Erhan Cinlar**117 The Vector Maximization Problem: Proper Efficiency and Stability***by*H.P. Benson & T.L. Morin**115 Improved Convergence Rate Results for a Class of Exponential Penalty Functions***by*Frederic H. Murphy**114 A Generalized LaGrange Multiplier Function Algorithm for Nonlinear Programming***by*Frederic H. Murphy**113 Proof that Prices which are Present-Discounted Certainty Equivalents Fluctuate Randomly***by*Prem Prakash**112 Management of Operating System Subprograms***by*Jair M. Babad**110 Population Processes: A Markov Renewal Theoretic Approach***by*Richard M. Feldman**109 Canonical Angles and Computations in Limited Information Maximum Likelihood Estimation***by*Claude Cohen**108 Optimal Facility Location under Random Demand with General Cost Structure***by*V. Balachandran & Suresh Jain**107 Revealed Preference and Aggregation***by*Wayne J. Shafer**106 Brand-and-Bound Strategies for Dynamic Programming***by*Thomas L. Morin & Roy E. Marsten**105 Disadvantageous Syndicates in Exchange Economies***by*Andrew Postlewaite**104 Additive Processes from the Point of View of Regeneration***by*Erhan Cinlar**103 Some Theorems on the Existence of Competitive Equilibrium***by*Wayne Shafer & Hugo Sonnenschein**102 On the R & D Process and Decisions***by*S. D. Deshmukh & S.D.Chikte**101 A Handbook of Geometric Programming***by*Elmor Peterson**100 On Cores in Economies with Public Goods***by*Paul Champsaur

### 1973

**63 Levy Systems of Markov Additive Processes***by*Erhan Cinlar**62 A Stochastic Model of Persuasive Communication***by*V. Balachandran & S. D. Deshmukh**61 Solving the 'Marketing Mix' Problem Using Geometric Programming***by*V. Balachandran & Dennis H. Gensch**60 Efficiency of Prepaid Group Practice: Allocation of Physician Work Effort Between Office and Hospital***by*Frederic H. Murphy & Mark A Satterthwaite**6 The Knowledge Revealed by an Allocation Process and the Informational Size of the Message Space***by*Stanley Reiter**59 Generalized Transportation Problem with Random Demands - An Operator Theoretic Approach***by*V. Balachandran**58 An Integer Generalized Transportation Model for Optimal Job Assignment in Computer Networks***by*V. Balachandran**57 Information and Shadow Prices for the Constrained Concave Team Problem***by*J.S. Jordan**56 A Relaxation Algorithm for a Class of Decomposable Polynomial Programming Problems***by*Kemil A. Rizk-Aziz & Arthur P. Hurter**55 A Non-Theorem of Samuelson in the Theory of Revealed Preference***by*Prem Prakash**54 Search Equilibrium in a Simple Multi-Market Economy***by*Dale T. Mortensen**53 Markov Renewal Theory: A Survey***by*Erhan Cinlar**52 (Topological) Semivector Spaces: Convexity and Fixed Point Theory***by*Prem Prakash & Murat R. Sertel**51 The Utility Hypothesis and Market Demand Theory***by*Hugo Sonnenschein**50 Dynamic Pricing with Stochastic Entry***by*S.D. Deshmukh & S.D. Chikte**49 The Continuous-Time Model of Multiregional Demographic Growth***by*Andrei Rogers**47 Maximizing Expected Utility and the Rule of Long Run Success***by*A. Camacho**46 Boxstep: A New Strategy for Large Scale Mathematical Programming***by*W.W. Hogan**45 Correlated Equilibria in Some Classes of Two-Person Games***by*Robert W. Rosenthal**44 The Incentives for Price-Taking Behavior In Large Economies***by*Donald John Roberts & Andrew Postlewaite**43 Point Estimation and Risk Preferences***by*David P. Baron**42 The Existence of a Strategy Proof Voting Procedure***by*Mark Allen Satterthwaite**41 Extremal Processes, III***by*Meyer Dwass**40 Disadvantageous Syndicates***by*Andrew Postlewaite & Robert W. Rosenthal**38 Majority Voting Rules as Behavior Toward Risk***by*Jean-Marie Blin**37 Predictions from Binary Choice Models***by*Richard P. Westin**36 The Scope of Geometric Programming***by*Elmor L Peterson**35 Computational Delays***by*S. D. Deshmukh**34 Intersectoral Interdependence and Dominance in Input-Output Systems***by*Jean-Marie Blin & Frederic H. Murphy**33 On Measuring Economic Interrelatedness***by*Jean-Marie Blin & Frederic H. Murphy**32 Continuity Results in the Gains from Trade With Similar Consumers***by*Donald John Roberts**31 Default Risk, Homemade Leverage and the Modigliani-Miller Theorem***by*David P. Baron**30 Penalty Function Algorithms with the Potential of Limit Convergence***by*Frederic H. Murphy**3 The Informational Size of Message Spaces***by*Kenneth Mount & Stanley Reiter**11 Informational Efficiency of Iterative Processes and the Size of Message Spaces***by*Stanley Reiter

### 1972

**9 Cardinal Utility and the Problem of Social Choice***by*Antonio Camacho**8 An Algorithm for Large Set Partitioning Problems***by*Roy E. Marsten**7 Product Durability Under Monopoly and Competition***by*Morton I. Kamien & Nancy L. Schwartz**4 Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparison of Utilities: A Note***by*Antonio Camacho & Jon Sonstelie**28 Limit Pricing, Potential Entry and Barriers to Entry***by*David P. Baron**27 Some Relationships Between Hierarchical Systems Theory and Certain Optimization Problems***by*Yvo M. I. Dirickx**26 On Risk Aversion and Optimal Stopping***by*David C. Nachman**25 A General Formulation of the Multiattribute Decision Problem: Concepts and Solution Algorithms***by*Jean-Marie Blin**24 Poisson Process and Distribution-Free Statistics***by*Meyer Dwass**23 An Algorithm for Finding Almost All Of The Medians of a Network***by*Roy E. Marsten**22 A Class of Exponential Penalty Functions***by*Frederic H. Murphy**21 Equitability in Multi-Agent Dynamic Systems***by*David W. Peterson**20 A Column Generation Algorithm For Nonlinear Programming***by*Frederic H. Murphy**2 On the Boundedness of the Feasible Set Without Convexity Assumptions***by*Leonid Hurwicz & Stanley Reiter**19 Generalization and Symmetrization of Duality in Geometric Programming***by*Elmor L. Peterson**18 Foundations for a General Theory of Information***by*David W. Peterson**17 Exclusion, Externalities, and Public Goods***by*Morton I. Kamien & Nancy L. Schwartz & Donald John Roberts**16 Row Dropping Procedures for Cutting Plane Algorithms***by*Frederic H. Murphy**15 Sequential Linear Minimum Variance Estimation of Probabilities: Probabilities that may be Time or Space Dependent***by*Brian Schaefer**14 Optimal Delays in Decision and Control***by*Sudhakar D. Deshmukh & Shirish D. Chikte**13 The Decomposition of Large (Generalized) Geometric Programming Problems by Tearing***by*Elmor L. Peterson**12 The General Concept of Multidimensional Consistency: Some Algebraic Aspects of the Aggregation Problem***by*Jean-Marie Blin**10 Approximate and Exact Solutions for a Class of Fixed Charge Problems***by*Roy E. Marsten**1 Existence of Lindahl Equilibrium with a Measure Space of Consumers***by*Donald John Roberts

### 1968

**761 Informational Externalities and the Scope of Efficient Dominant Strategy Mechanisms***by*Steven R. Williams & R. Radner

### Undated

**1388 Hierarchies Of Belief And Interim Rationalizability***by*Jeffrey C. Ely & Marcin Peski**1169 Information and Organization for Horizontal Multi-market Coordination***by*Krishnan S. Anand & Haim Mendelson**1112 Copeland Method II; Manipulation, Monotonicity, and Paradoxes***by*Vincent R. Merlin & Donald G. Saari**1111 The Copeland Method I; Relationships and the Dictionary***by*Vincent R. Merlin & Donald G. Saari**1072 Breaking the Barriers of the Feasible Set: On Repeated Games with Different Time Preference***by*Anonymous?