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Walter Trockel
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List of Publications:

Monographs

  1. Market Demand, An Analysis of Large Economies with Non-Convex Preferences.

    Lecture Notes in Economics and Mathematical Systems, Vol. 223, Heidelberg, 1984

  2. Market Demand in Large Economies with Non-Convex Preference Relations.

    Habilitationsschrift, Universität Bonn, 1983

  3. Ein Grenzwertsatz für den Kern.

    Dissertation, Universität Bonn, 1975

  4. Theorie der allgemeinen kooperativen n-Personen-Spiele mit Ausgleichszahlungen.

    Diplom-Arbeit, Institut für Angewandte Mathematik, Universität Bonn, 1970

Textbooks

Ein Mathematischer Countdown zur Wirtschaftswissenschaft.

Springer, Heidelberg, 1990

Edited Books

Mathematical Utility Theory.

Springer, Wien 1999

(with G. Herden, N. Knoche and C. Seidl)

Economics Essays.

Springer, Heidelberg 2001

(with G. Debreu, W. Neuefeind)

Publications in Periodicals

  1. An exact non-cooperative support for the sequential Raiffa solution

    Journal of Mathematical Economics doi:10.1016/j.jmateco.2010.08.J.Math. Econ.,2011

    Journal of Mathematical Economics ,47, pp.77-83, 2011

  2. On Maskin Monotonicity of Solution Based Social Choice Rules

    Review of Economic Design, 14, pp.17-25, 2010 (with C.-J. Haake)

  3. The Nash product is a utility representation of the Pareto ordering.

    Economics Letters, 99, pp. 220-222, 2008

  4. Competitive Outcomes and Endogenous Coalition Formation in an n-Person Game

    Journal of Mathematical Economics, 44/7-8, pp. 853-860, 2008 (with N. Sun and Z. Yang)

  5. Core-Equivalence for the Nash Bargaining Solution.

    Economic Theory, 25, pp. 255-263, 2005

  6. Integrating the Nash Program into Mechanism Theory.

    Review of Economic Design, 7, pp. 27-43, 2002

  7. A Universal Meta Bargaining Realization of the Nash Solution.

    Social Choice and Welfare, 19, pp. 581-586, 2002

  8. Implementation of the Nash Solution based on its

    Walrasian Characterization.

    Economic Theory, 16, pp. 277-294, 2000

  9. Unique Nash Implementation for a Class of Bargaining Solutions.

    International Game Theory Review, 1, 267-272, 1999

  10. Rationalizability of the Nash Bargaining Solution.

    Journal of Economics, Suppl. 8, pp. 159-165, 1999

  11. Nonconvergence of Mas-Colell's and Zhou's Bargaining Sets.

    Econometrica, 65, pp. 1227-1239, 1997 (with R. Anderson and L. Zhou)

  12. A Walrasian Approach to Bargaining Games.

    Economics Letters, 51, pp. 295 - 301, 1996

  13. Continuous Linear Representability for Binary Relations.

    Economic Theory, 6, pp. 351 - 356, 1995 (with W. Neuefeind)

  14. Mathematik in der Wirtschaftstheorie am Beispiel der Struktur der Marktnachfrage.

    Mathematische Semesterberichte, 39, pp. 143 - 161, 1992

  15. An Alternative Proof for the Linear Utility Representation Theorem.

    Economic Theory, 2, pp. 298 - 302, 1992

  16. Über Informationsprobleme bei der Implementation von Mechanismen.

    Zeitschrift für Wirtschafts- und Sozialwissenschaften, 111, pp. 207 - 226, 1991

  17. Classification of Budget-Invariant Monotonic Preferences.

    Economics Letters, 30, pp. 7 - 10, 1989

  18. Market Demand by Non-Convex Preferences.

    Rendiconti del Seminario Matematico e Fisico di Milano, LVII, pp. 311 - 320, 1987

  19. The Chain-Store Paradox Revisited.

    Theory and Decision, 21, pp. 163 - 179, 1986

  20. On Uniform Local Dispersion on a Family of G-Orbits.

    Journal of Mathematical Analysis and Applications, 118, pp. 173 - 179, 1986

  21. On Approximate Cores of Non-Convex Economies.

    Economics Letters, 15, pp. 197 - 202, 1984 (with B. Grodal and S. Weber)

  22. Price Dispersed Preferences and$C^1$Mean Demand.

    Journal of Mathematical Economics, 13, pp. 11 - 42, 1984 (with E. and H. Dierker)

  23. On the Uniqueness of Individual Demand at almost every Price System.

    Journal of Economic Theory, 33, pp. 397 - 399, 1984

  24. Market Demand is a Continuous Function of Prices.

    Economics Letters, 12, pp. 141 - 146, 1983

  25. A Representation Result for Preferences.

    Methods of Operations Research, 46, pp. 477 - 486, 1983 (with J. Weinberg)

  26. Uniqueness of Mean Maximizers via an Ergodic Theorem.

    Optimization, 14, pp. 411 - 419, 1983

  27. Smoothing Demand by Aggregation with Respect to Wealth.

    Journal of Mathematical Economics, 7, pp. 227 - 247, 1980 (with E. and H. Dierker)

  28. A Measure Theoretical Problem in Mean Demand Analysis.

    Methods of Operations Research, 38, pp. 175 - 187, 1980

  29. Continuous Mean Demand Functions Derived from Non-Convex Preferences.

    Journal of Mathematical Economics, 7, pp. 27 - 33, 1980, (with E. and H. Dierker)

  30. A Limit Theorem on the Core.

    Journal of Mathematical Economics, 3, pp. 247 - 264, 1976

Other Publications

  1. Game Theory: The Language of Social Science?

    in: Raith, M. (ed.): Procedural Approaches to Conflict Resolution, Springer Heidelberg, forthcoming 2007

  2. In what sense is the Nash solution fair?

    in: Schmidt, H. and Traub, S. (eds.): Advances in Public Economics:

    Utility Choice and Welfare, Springer Heidelberg, 2005

  3. Fußball, Spieltheorie und Schalke 04

    in: P. Noss (Hrgr.): fußball ver-rückt: Gefühl, Vernunft und Religion im Fußball,

    LIT Verlag, Münster, 2004

  4. Elastizitäten

    WISU (Das Wirtschaftsstudium), 2004 forthcoming,

    (with U. Ervig)

  5. Die Klausur zur Volkswirtschaftslehre

    WISU (Das Wirtschaftsstudium), 4/04, pp. 556-561,

    (with M. Hahmeier)

  6. Game Theory

    in: Optimization and Operations Research, [Ed. Ulrich Derigs], in: Encyclopedia

    of Life Support Systems (EOLSS),

    developed under the auspices of the UNESCO, Eolss Publishers, Oxford, UK,

    [http://www.eolss.net], 2004, (with J. Rosenmüller)

    [Retrieved December 1, 2006]

  7. Can and should the Nash program be looked at as a part of

    mechanism theory?

    in: Sertel, M. and Koray. S. (ed.): Advances in Economic Design,

    Springer, Heidelberg, 2002

  8. An Exact Implementation of the Nash Bargaining Solution in Dominant Strategies.

    in: Abramovich, Y., E. Avgerinos and N.C. Yanellis (eds.): Functional Analysis and Economic Theory, Springer, Heidelberg, 1998

  9. Group Actions on Spaces of Preferences and Economic Applications

    in: Utility Functions on Ordered Spaces

    Dipartimento di Matematica Applicata ``Bruno de Finetti'',

    Pubblicazione No. 5, 1998

  10. Moral Hazard.

    in: Geigant et al. (Hrsg.): Lexikon der Volkswirtschaft, 6. Aufl., Landsberg/Lech: Verl. Moderne Industrie, p. 609, 1994

  11. Adverse Selektion.

    in: Geigant et al. (Hrsg.): Lexikon der Volkswirtschaft, 6. Aufl., Landsberg/Lech: Verl. Moderne Industrie, pp. 22 - 23, 1994

  12. Freiheit und Notwendigkeit. Ökonomische Anreize zu ``richtigem'' Handeln.

    Forschung an der Universität Bielefeld, 7, pp. 33 - 37, 1993

  13. Der Kern einer Tauschwirtschaft.

    WISU (Das Wirtschaftsstudium), 13, pp. 576 - 583, 1984

  14. Marktnachfrage bei nicht-konvexen Präferenzen.

    in: W. Krelle, (ed.): ökonomische Prognose-, Entscheidungs- und Gleichgewichtsmodelle, Abschlussbericht des Sonderforschungsbereichs 21 an der Universität Bonn, Bonn 1984

  15. On the Incentive Compatibility of the Rawlsian Social

    Choice Rule.

    in: Atti del Sesto Convegno dell' A.M.A.S.E.S., Milano 1982 (with J. Weinberg)

  16. Aggregation of Demand in Case of Non-Convex Preferences.

    in: Moeschlin, O. and D. Pallaschke (eds.): Game Theory and Relate Topics, North-Holland, Amsterdam 1979 (with E. and H. Dierker)

Translation

Gérard Debreu:Theory of Value, Werttheorie.

Springer, Heidelberg 1976 (et alii)

Book Reviews

  1. Coto-Millan, P.:General Equilibrium and Welfare

    Physica, Heidelberg 2002, Journal of Economics 2003

  2. Salanié, B.:Microeconomics of Market Failures.

    MIT Press, Cambridge, Mass. 2000, Economic Journal, 2002, forthcoming

  3. Schwalbe, U.:The Core of Economics with Asymmetric Information.

    Springer, Berlin 1999, Journal of Economics, 2000

  4. Aliprantis, C.D.:Problems in Equilibrium Theory.

    Springer, Berlin 1996, Journal of Economics, 65 (3), pp. 314 - 315, 1997

  5. König, H. und M. Neumann:Mathematische Wirtschaftstheorie mit einer Einführung in die Konvexe Analysis.

    Verlag Anton Hain, Meisenheim 1986, Jahresbericht der Deutschen Mathematiker-Vereinigung, 1988

  6. Reiter, S. (ed.):Studies in Mathematical Economics vol. 25

    Wiley, Chichester, 1987

  7. Border, K. C.:Fixed Point Theorems with Applications to Economics and Game Theory.

    Cambridge University Press, Cambridge 1985, Zeitschrift für Nationalökonomie, 47 (1), pp. 91 - 92, 1987

  8. Takayama, A.:Mathematical Economics.

    Cambridge University Press, 2nd edition, Cambridge 1985, Zeitschrift für Operations Research, Series A: Theory, 1986

  9. Fujimori, Y.:Modern Analysis of Value Theory,

    Lecture Notes in Economics and Mathematical Systems.

    Vol. 207, Springer, Heidelberg, Zeitschrift für Nationalökonomie, 44, pp. 191 - 194, 1984

  10. Rosenmüller, J.:The Theory of Games and Markets.

    North-Holland, Amsterdam 1981, Optima, 10, August 1983

  11. Telser, L. G.:Economic Theory and the Core.

    Chicago University Press, Chicago 1979, Zeitschrift für Nationalökonomie, 40, pp. 247 - 251, 1980

Unpublished work

  1. An Axiomatization of the Sequential Raiffa Solution, December 2009

    IMW working paper 425, December 2009

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