# Elsevier

# Mathematical Social Sciences

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**Series handle:**repec:eee:matsoc

**ISSN:**0165-4896

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### October 1989, Volume 18, Issue 2

### August 1989, Volume 18, Issue 1

**1-32 A dynamic oligopoly model with demand inertia and inventories***by*Phlips, Louis & Richard, Jean-Francois**33-55 A Tiebout theorem***by*Wooders, Myrna Holtz**57-79 Conflicting interests, decomposability, and comparative statics***by*Walker, Mark**81-98 Measures of freedom based on possibility***by*Smithson, Michael**99-105 The optimum size distribution of firms***by*Chakravarty, Satya R.

### June 1989, Volume 17, Issue 3

**205-243 On the possible merging functions***by*Aczel, Janos & Roberts, Fred S.**245-261 A noncooperative justification for egalitarian surplus sharing***by*Chun, Youngsub**263-283 Some characterizations of lower probabilities and other monotone capacities through the use of Mobius inversion***by*Chateauneuf, Alain & Jaffray, Jean-Yves**285-295 Bargaining solutions and relative guarantees***by*Chun, Youngsub & Thomson, William**297-313 On the existence of utility functions***by*Herden, G.**315-328 A re-evaluation of perfect competition as the solution to the Bertrand price game***by*Harrington, Joseph Jr.**329-334 Recognizing single-peaked preferences on a tree***by*Trick, Michael A.

### April 1989, Volume 17, Issue 2

**97-129 Pseudocriteria and pseudocriterial choice***by*Aizerman, M. A. & Litvakov, B. M.**131-159 Homogeneous games with countably many players***by*Rosenmuller, Joachim**161-175 On the natural fluctuation of the economy***by*Golan, Amos**177-188 A new informational base for social choice***by*Kelly, Jerry S.**189-194 Kelly's conjecture***by*Kim, K. H. & Roush, Fred W.**195-200 From unemployment to golden age capital accumulation in a two-sector growth model***by*Kymn, Kern O.**201-201 Fractional programming : B.D. Craven, Berlin: Helderman Verlag, 1988, 143 pages, $29***by*Roush, F. W.**202-203 Modelling household formation and dissolution : Nico Keilman, Anton Kuijsten and Ad Vossen, eds., Oxford: Clarendon, 1988, 298 ages, [UK pound]30***by*Kim, K. H.**203-203 Applied mathematical letters : volume 1, issue 1, Oxford: Pergamon press, 1988, 104 pages, 280 DM per year***by*Roush, F. W.**201-202 Les arbres et les representations des proximites : J.-P. Barthelemy and A. Guenoche, Paris: Masson, 1988, 236 pages, 160 francs***by*Roush, F. W.

### February 1989, Volume 17, Issue 1

**1-16 Proving a distribution-free generalization of the Condorcet Jury Theorem***by*Owen, Guillermo & Grofman, Bernard & Feld, Scott L.**17-31 On fuzzy quantity and fuzzy isoquant***by*Chen, Guo-quan & Yu, Eden S. H.**33-45 Determination of all generalized Hicks-neutral production functions***by*Aczel, J. & Gehrig, W.**47-56 A nash type equilibrium in games without transitive preferences***by*Cesco, J. C. & Neme, A.**57-66 We eventually agree***by*Bergin, James**67-75 The probability of intransitivity of pairwise comparisons in individual preference***by*Gehrlein, William V.**77-96 Context analysis in the sentence using rough relations***by*Wojcik, Zbigniew M.

### December 1988, Volume 16, Issue 3

**223-266 Evolutionary stability in extensive two-person games - correction and further development***by*Selten, Reinhard**267-279 Dominating sets in social network graphs***by*Kelleher, Laura L. & Cozzens, Margaret B.**281-287 A non-equilibrium analysis of the finitely-repeated prisoner's dilemma***by*Benoit, Jean-Pierre**289-303 Symmetric equilibrium with random entry***by*Arvan, Lanny**305-317 Stochastic dominance and Friedman-Savage utility functions***by*Thon, Dominique & Thorlund-Petersen, Lars

### October 1988, Volume 16, Issue 2

**107-143 Unique finite conjoint measurement***by*Fishburn, Peter C. & Roberts, Fred S.**145-158 Equitable distribution of indivisible objects***by*Demko, Stephen & Hill, Theodore P.**159-169 Dynamics of the cournot oligopoly with multi-product firms***by*Okuguchi, Koji & Szidarovszky, Ferenc**171-179 Trade creation, trade diversion and elastic labor supply***by*Parai, Amar K.**181-187 Estimation of the Leontief inverse from the practitioner's point of view***by*Dietzenbacher, Erik**189-201 Binary games in constitutional form and collective choice***by*Andjiga, Nicolas G. & Moulen, Joel**203-206 Choice, hull, continuity and fidelity***by*Sertel, Murat R.**207-209 Nonexistence of stable threesome matchings***by*Alkan, Ahmet

### August 1988, Volume 16, Issue 1

**1-39 Lower bounds on degrees of game-theoretic structures***by*Lewis, Alain A.**41-48 An infinite version of arrow's theorem in the effective setting***by*Lewis, Alain A.**49-63 Population growth and economic development in the very long run: a simulation model of three revolutions***by*Steinmann, Gunter & Komlos, John**65-76 The harmonic Gini coefficient and affluence indexes***by*Sen, Pranab Kumar**77-106 Optimal license fees for a new product***by*Kamien, Morton I. & Tauman, Yair & Zang, Israel

### June 1988, Volume 15, Issue 3

**205-215 A model of a sudden-death field-goal football game as a sequential duel***by*Sahi, S. & Shubik, M.**217-230 The Structure of SSB utilities for decision under uncertainty***by*Fishburn, P. C. & LaValle, I. H.**231-246 The proportional solution for rights problems***by*Chun, Youngsub**247-260 Strategic irrationality in extensive games***by*Basu, Kaushik**261-276 Induced social welfare functions***by*Janowitz, M. F.**277-286 On numerical representations of semiorders***by*Gensemer, Susan H.**287-302 The bargaining problem with an uncertain conflict outcome***by*Livne, Zvi A.**303-306 Partial and multiple match tournaments***by*Cook, Wade D. & Kress, Moshe**307-312 Characterization of monotonicity and neutrality for binary Paretian social decision rules***by*Jain, Satish K.

### April 1988, Volume 15, Issue 2

**105-134 Strategic tariff equilibrium and optimal tariffs***by*Kim, K. H. & Roush, F. W.**135-143 Some general theorems on the existence of order-preserving functions***by*Mehta, Ghanshyam**145-156 An alternate approach to axiomatizations of the von Neumann/Morgenstern characteristic function***by*Lewis, Alain A. & Sundaram, Rangarajan**157-177 The apartheid malady***by*Starkermann, R.**179-188 The Euclidean distance construction of order homomorphisms***by*Bridges, Douglas S.**189-196 Coalitions in competitive bribery games***by*Lien, Da-Hsiang Donald**197-203 Testing for causality in the Richardson arms race model***by*Tang, De-piao & Yang, David C. H.

### February 1988, Volume 15, Issue 1

**1-10 The shapley value on some lattices of monotonic games***by*Einy, Ezra**11-27 Monotonicity properties of bargaining solutions when applied to economics***by*Chun, Youngsub & Thomson, William**29-49 Stability of jurisdiction structures in economies with local public goods***by*Wooders, Myrna Holtz**51-60 Core-like solutions for games with probabilistic choice of strategies***by*Ichiishi, Tatsuro**61-72 Constructing bimatrix games with unique equilibrium points***by*Quintas, Luis G.**73-80 Veto theorems with expansion consistency conditions and without the weak Pareto principle***by*Gekker, Ruvin**81-85 Extension of an order on a set to the power set: some further observations***by*Bandyopadhyay, Taradas**87-92 Evaluation of the Catalonian Parliament, 1980-1984***by*Carreras, Francesc & Owen, Guillermo**93-95 Characterizing fidelity for reflexive choices***by*Sertel, Murat R.**101-101 A mathematical organization theory : R.F. Drenick. Amsterdam and New York: Elsevier, 1986, 261 pages***by*Roush, F. W.**102-102 Systems eeconomies: K.A. Fox and D.G. Miles, eds., Ames:Iowa State University Press, 1987, 252 pages, $24.50***by*Kim, K. H.

### December 1987, Volume 14, Issue 3

**201-224 Strong equilibria of a repeated game with randomized strategies***by*Tatsuro Ichiishi**225-237 Distributive justice and allocation by the market: On the characterisation of a fair market economy***by*Biswas, Tapan**239-250 On the optimum structure of the hierarchy in an organisation***by*Ming-Yueh Tarng & Miao-Sheng Chen**251-262 Explorations in aggregating choices***by*Sertel, Murat R.**263-274 Pseudo-orders: Definition, properties and numerical representation***by*Roy, B. & Vincke, Ph.**275-288 Axioms for a fuzzy measure of inequality***by*Basu, Kaushik**289-298 Subjective probabilities for state dependent continuous utility***by*Wakker, Peter**299-302 Hirschman versus Herfindahl: Some topological properties for the use of concentration indexes***by*Szpiro, George G.

### October 1987, Volume 14, Issue 2

**101-140 Cybernetic causality III: The qualitative theory of self-steering and social development***by*Aulin, Arvid**141-159 A conditional likelihood ratio test for order restrictions in exponential families***by*Iverson, Geoffrey J. & Harp, Steven Alex**161-174 On constructing a generalized ostrogorski paradox: Necessary and sufficient conditions***by*Deb, Rajat & Kelsey, David**175-183 The geometry of the uncovered set in the three-voter spatial model***by*Hartley, Richard & Kilgour, D. Marc**185-191 Redistributive properties of progressive taxation***by*Thon, Dominique**193-194 Corrigenda***by*Nielsen, Lars Tyge**199-199 Decision theory : S. French, Chichester: Ellis Horwood, 1986, 448 pages, $54.95***by*Roush, F. W.**200-200 Abstract measurement theory : L. Narens, London: MIT Press, 1985, 329 pages, $53.95***by*Kim, K. H.**199-200 The linear ordering problem: Algorithms and applications : G. Reinelt, Berlin: Heldermann Verlag, 1985, 158 pages***by*Roush, F. W.

### August 1987, Volume 14, Issue 1

**1-17 Choice and complexity***by*Gottinger, Hans W.**19-38 On the restrictiveness of monotonic scalable choice in probabilistic choice models***by*Samuelson, Larry**39-49 Performance of a pipeline array of automata with periodic cycle-time***by*Goles, E. & Sakho, I. & Tchuente, M.**51-57 Allocative cost of weighted discrimination***by*van Moeseke, Paul**59-75 An efficient algorithm for voting sequences***by*Gensemer, Susan H. & Kelly, Jerry S.**77-99 Elections with limited information: A multidimensional model***by*McKelvey, Richard D. & Ordeshook, Peter C.

### June 1987, Volume 13, Issue 3

**185-214 Microeconomic foundations of cyclical irregularities or `chaos'***by*Albin, Peter S.**215-229 Fuzzy preferences and social choice***by*Dutta, Bhaskan**231-241 Optimal stabilization policy with instruments of differing frequency***by*Jung, W. S.**243-257 Input price, isocost and maximum output under fuzziness***by*Chen, Guo-quan & Yu, Eden S. H.**259-272 Topological structure of a space of continuous preferences as a space of retractions and the aggregation problem***by*Uriarte, I. R.**273-276 About extreme equilibrium points***by*Marchi, Ezio & Quintas, Luis G.**277-281 On a nonlinear input-output system***by*Okuguchi, Koji & Szidarovszky, Ferenc**283-288 A further note on prices policy from a Sraffian perspective***by*Levine, A. L.**289-295 The shadow wage: A note***by*Gupta, Manash Ranjan**297-298 Pricncipled choice***by*Sen, Amartya**298-298 Information theory and the stock market***by*Cover, Thomas M.**299-300 Irrationality in decision-making***by*Kaplan, Abraham**300-301 Problematics of data analysis in environmental research***by*Givoni, Baruch**301-302 A game-theoretic model of the appropriations process***by*Kiewiet, Rod & McCubbins, Mathew**302-302 A unified view and the role of symmetry in multiperson cooperative games***by*Lucas, William F.**298-298 Foundations for applied welfare economics: some open or not-so-open issues***by*Harberger, Arnold C.

### April 1987, Volume 13, Issue 2

**93-128 The conventionally stable sets in noncooperative games with limited observations I: Definitions and introductory arguments***by*Kaneko, Mamoru**129-139 On the existence of approximate equilibrium in pure strategies for a game with incomplete information***by*Meister, Helmut**141-152 A class of non-normalized power indices for simple games***by*Curiel, Imma J.**153-163 A geometric view of welfare gains with non-instantaneous adjustment***by*Salamon, Peter & Komlos, John & Andresen, Bjarne & Nulton, James D.**165-175 The influence of poll results on election outcomes***by*Kirchgassner, Gebhard & Wolters, Jurgen**177-181 An axiomatization of the [tau]-value***by*Tijs, Stef H.

### February 1987, Volume 13, Issue 1

**19-47 Teacher-student interaction: A game theoretic extension of the economic theory of education***by*Correa, Hector & Gruver, Gene W.**49-58 Aggregation of dichotomic preferences***by*Danilov, Vladimir I.**59-65 Metric rationalisation of social choice functions according to principles of social choice***by*Baigent, Nick**67-72 Interquantile differences, income inequality measurement and the Gini concentration index***by*Berrebi, Z. M. & Silber, J.**73-79 Stochastic dominance: A bibliographical rectification and a restatement of whitmore's theorem***by*Le Breton, Michel**81-86 On the construction of subinvariant weakly additive set-functions***by*Lewis, Alain A.**87-87 The theory of matrices : P. Lancaster and M. Tismenetsky, New York: Academic Press, 1985, 570 pages, $59.00***by*Kim, K. H.**88-89 Trends in mathematical psychology : E. Degreef and J. Van Buggenhaut, eds., Amsterdam: North-Holland, 1984, 478 pages, $61.50***by*Roush, F. W.**89-90 Interval orders and interval graphs : P.C. Fishburn, New York: Wiley, 1985, 215 pages, $33.50***by*Kim, K. H.**90-91 Learning the art of mathematical modelling : M. Cross and A.O. Moscardini, Chichester: Horwood and Wiley, 1985, 155 pages, [UK pound]15.00***by*Roush, F. W.**91-91 Teaching and applying mathematical models : J.S. Berry, D.N. Burghes, I.D. Huntley, D.J.G. James, and A.O. Moscardini, eds., Chichester: Horwood and Wiley, 1984, [UK pound]35.00***by*Roush, F. W.**87-88 Numerical value ODEs : U.M. Ascher and R.D. Russell, eds., Boston: Birkhauser, 1985, 317 pages, $34.95***by*Roush, F. W.

### December 1986, Volume 12, Issue 3

**205-225 The role of reconstructability analysis in social science research***by*Klir, George J.**227-264 Cybernetic causality II: Causal recursion in goal-directed systems, with applications to evolution dynamics and economics***by*Aulin, Arvid**265-278 Strategic market game: A dynamic programming application to money, banking and insurance***by*Shubik, Martin**279-301 Bilateral price-setting in a bilateral monopoly model***by*Imai, Haruo

### October 1986, Volume 12, Issue 2

**105-137 The core of a game with a continuum of players and finite coalitions: The model and some results***by*Kaneko, Mamoru & Wooders, Myrna Holtz**139-157 The capacity of a committee***by*Holzman, Ron**159-167 Taxonomy approach to a cabinet formation problem***by*Mercik, Jacek W. & Kolodziejczyk, Waldemar**169-183 Stability analysis for profit-responsive selection mechanisms***by*Dow, Gregory K.**185-190 Axioms for consensus functions based on lower bounds in posets***by*Day, William H. E. & McMorris, F. R. & Meronk, David B.**191-198 United States policy toward Latin America: A study of proactive versus reactive hypotheses***by*Correa, Hector & Vassar, W. Jr.

### August 1986, Volume 12, Issue 1

**1-7 Noncooperative games and nontransitive preferences***by*Fishburn, Peter C. & Rosenthal, Robert W.**9-20 Extensions of solution concepts by means of multiplicative [var epsilon]-tax games***by*Tijs, Stef H. & Driessen, Theo S. H.**21-30 Weak values, the core, and new axioms for the Shapley value***by*Kleinberg, Norman L. & Weiss, Jeffrey H.**31-46 Performance evaluation of some special classes of weighted majority rules***by*Gradstein, Mark & Nitzan, Shmuel**47-76 On nonlinear theories of economic cycles and the persistence of business cycles***by*Semmler, Willi**77-95 Scale type, meaningfulness, and the possible psychophysical laws***by*Roberts, Fred S. & Rosenbaum, Zangwill**101-101 Game theory in the social sciences : Martin Shubik, Boston & London: Massachusetts Institute of Technology Press, 1984, 514 pages, $17.50***by*Kim, K. H.**101-102 Social system accounts : Karl A. Fox, Dordrecht: Reidel, 1985, 221 pages, $29.00***by*Roush, F. W.

### June 1986, Volume 11, Issue 3

**201-242 Voting operators in the space of choice functions***by*Aizerman, M. A. & Aleskerov, F. T.**243-281 What can lattices do for experimental designs?***by*Duquenne, V.**283-294 Auctions, public tenders, and fair division games: An axiomatic approach***by*Guth, Werner**295-306 Ordinal ranking and preference strength***by*Cook, Wade D. & Kress, Moshe

### April 1986, Volume 11, Issue 2

**101-107 Generalized Nash's choice***by*Morkeliunas, Algis**109-127 General, direct and self-implementation of social choice functions via protective equilibria***by*Barbera, Salvador & Dutta, Bhaskar**129-138 Time and cost budgets***by*Van Moeseke, Paul**139-160 A strategic market game with transactions costs***by*Rogawski, J. & Shubik, M.**161-182 New measures of association for numerical variables***by*Smithson, Michael & Knibb, Kenneth**183-189 On the practical possibility of a `no show paradox' under the single transferable vote***by*Ray, Depankar**191-194 On Thon's axiomatization of the Gini index***by*Trannoy, Alain**195-199 On lexicographic probability relations***by*Segal, Uzi

### February 1986, Volume 11, Issue 1

**1-31 Modeling eco-behavioral systems***by*Sengupta, Jati K.**33-51 Complete ignorance and independence axiom: Optimism, pessimism, indecisiveness***by*Toulet, Claude**53-68 Exact choice and fuzzy preferences***by*Dutta, Bhaskar & Panda, Santosh C. & Pattanaik, Prasanta K.**69-82 Properties of the expected value of the leontief inverse: Some further results***by*Lahiri, Sajal & Satchell, Steve**83-87 A proof that the core of an ordinal convex game is a von Neumann-Morgenstern solution***by*Peleg, Bezalel**89-92 A note on nondictatorial conditions for choice mechanisms***by*Ritz, Zvi**93-94 Computational group theory : M. Atkinson, ed., New York: Academic Press, 1984, 375 pages, $60.00***by*Roush, F. W.**94-95 The Umbral Calculus : Steven Roman, Orlando: Academic Press, 1983, 193 pages, $39.00***by*Kim, K. H.**95-96 Mathematical ideas and sociological theory : I.J. Fararo, ed., New York: Gordon and Breach, 1984, 185 pages, $24.00***by*Roush, F. W.**96-97 Polyhedral combinatorics and the acyclic subdigraph problem : M. Junger, Berlin: Heldermann Verlag, 1985, 128 pages, $36.00***by*Roush, F. W.**97-98 Competitive economics: Equilibrium and Arbitration : Al Hang Kim and Fred W. Roush, Amsterdam: North-Holland, 1983, 300 pages, DFl.160***by*Mayston, David J.

### December 1985, Volume 10, Issue 3

**199-209 The Condorcet criterion and committee selection***by*Gehrlein, William V.**211-246 Complex structures and composite models -- An essay on methodology***by*Lewis, Alain A.**247-262 Information patterns and Nash equilibria in extensive games -- II***by*Dubey, Pradeep & Kaneko, Mamoru**263-267 Price adjustment in an economy with Markov disturbance***by*Kim, K. H. & Roush, F. W.**269-274 Fitting the lognormal distribution to censored labour wastage data***by*Agrafiotis, G. K.**275-279 Hedonic price functions and progressive neighborhood improvement: A theoretical exploration***by*Whalley, Diane**281-281 Thermodynamic theory as mathematical economics could have discovered it***by*Samuelson, Paul A.**282-282 The super-additive solution and the concession rate solution for the nash bargaining game***by*Maschler, Michael**283-283 Strategy, structure and procedure in legislatures***by*Shepsle, Kenneth A.**290-291 Statistical assessments as evidence in the courts***by*Fienberg, Stephen E.**291-292 The analysis of discrete public goods problems within a social dilemma and half-dilemma framework***by*Dawes, Robyn M.**293-294 Weakness of will and the free-rider problem***by*Elster, Jon**283-290 New methods for the analysis of two-way contigency tables: An alternative to Diaconis and Efron***by*A. Goodman, Leo**281-282 Management of inexact reasoning and uncertainty in expert systems***by*Shortliffe, Edward H.

### October 1985, Volume 10, Issue 2

**103-130 Cybernetic causality: A unitary theory of causal recursion in natural and social systems***by*Aulin, Arvid**131-153 Statistical issues in measurement***by*Iverson, G. & Falmagne, J. -C.**155-168 The desirability relation of simple games***by*Einy, Ezra**169-178 Characterization and statistical test using truncated expectations for a class of skew distributions***by*Telcs, A. & Glanzel, W. & Schubert, A.**179-188 The minimum degree of recursively representable choice functions***by*Lewis, Alain A.**189-198 Social influence models with ranking alternatives and local election rules***by*Poljak, Svatoplukk & Turzik, Daniel

### August 1985, Volume 10, Issue 1

**1-42 Fundamentals of expertise: II. Communication***by*Nowakowska, Maria**43-80 On effectively computable realizations of choice functions : Dedicated to Professors Kenneth J. Arrow and Anil Nerode***by*Lewis, Alain A.**81-89 Tax evasion and the prisoner's dilemma***by*Gottlieb, Daniel**91-97 A problem in poverty measurement***by*Lipton, Michael**99-99 Rational Consensus in Science and Society: A Philosophical and Mathematical Study : Keith Lehrer and Carl Wagner London: Reidel, 1981, 165 pages, $26***by*Kim, H. K.**99-101 Topoi : Robert Goldblatt, Amsterdam: North-Holland, 1984, 552 pages, $69.25***by*Roush, F. W.

### June 1985, Volume 9, Issue 3

**197-247 Loeb-measurable solutions to *finite games***by*Lewis, Alain A.**249-262 An economic theory of public facilities in space***by*Cremer, Helmuth & De Kerchove, Anne-Marie & Thisse, Jacques-Francois