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Variational problem associated with a model of welfare economics with a measure spaces of agents

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Advances in Mathematical Economics

Part of the book series: Advances in Mathematical Economics ((MATHECON,volume 8))

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References

  1. Alekseev, V.M., Tihomirov, V.M., Fomin, S.V.: Optimal Control. Nauka 1979 (in Russian); English translation: Consultants Bureau, N.Y. 1987

    Google Scholar 

  2. Artstein, Z.: On a variational problem. J. Math Anal. Appl. 45, 404–415 (1974)

    Article  MATH  MathSciNet  Google Scholar 

  3. Aumann, R.J., Perles, M.: A variational problem arising in economics. J. Math Anal. Appl. 11, (1965)

    Google Scholar 

  4. Aumann, R.J., Shapley, L.S.: Values of Non Atomic Games. Princeton Univ. Press, Princeton 1974

    MATH  Google Scholar 

  5. Balder, E.J.: Existence results without convexity conditions for general problem of optimal control with singular components. J. Math. Anal. Appl. 101, 527–539 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  6. Balder, E.J.: Comment on an existence result for a non-coercive nonconvex variational problem. SIAM J. Control Opt. 40, 328–332 (2002)

    Article  MathSciNet  Google Scholar 

  7. Berliocchi, H., Lasri, J.-M.: Intégrandes normales et measures paramétrées en calcule de variations. Bull. Soc. Math. France 101, 129–184 (1973)

    MATH  Google Scholar 

  8. Cellina, A., Perrotta, S.: On minima of radially symmetric functionals of the gradient. Nonlinear Analysis TMA 23, 239–249 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  9. Cesari, L.: An existence theorem without convexity assumptions. SIAM J. Control Opt. 12, 319–331 (1974)

    Article  MATH  MathSciNet  Google Scholar 

  10. Crasta, G.: Existence of minimizers for nonconvex variational problems with slow growth. J. Optim. Theory Appl. 99, 381–401 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  11. Crasta, G.: On the minimum problem for a class of non-coercive nonconvex functionals. SIAM J. Control Optimization 38, 237–253 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  12. Crasta, G., Malusa, A.: Euler-Lagrange inclusions and existence of minimizers for a class of non-coercive variational problems. J. Convex Analysis 7, 167–182 (2000)

    MATH  MathSciNet  Google Scholar 

  13. Fusco, N., Marcellini, P., Ornelas, A.: Existence of minimizers for some nonconvex one-dimensional integrals. Portugal Math. 55, 167–185 (1998)

    MATH  MathSciNet  Google Scholar 

  14. Hildenbrandt, W.: Pareto optimality for a measure space of economic agents. Int. Econ. Review 10, 363–372 (1969)

    Article  Google Scholar 

  15. Ioffe, A.D., Levin, V.L.: Subdifferentials of convex functions. Trudy Mosc. Matem. Ob. 26, 3–73 (1972) (in Russian), English translation: Trans. Moscow Math. Soc. 26, 1–72 (1972)

    MathSciNet  Google Scholar 

  16. Ioffe, A.D., Tihomirov, V.M.: On minimization of integral functionals. Funct. Anal. Appl. 3, 218–227 (1969)

    Article  MathSciNet  Google Scholar 

  17. Ioffe, A.D., Tihomirov, V.M.: Theory of Extremal Problems. Nauka, Moscow 1974 (in Russian); English translation: North Holland, 1979

    Google Scholar 

  18. Marcelli, C.: One-dimensional non-coercive problems of the calculus of variations. Ann. Math. Pura Appl. 173, 145–161 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  19. Ornelas, A.: Existence of scalar minimizers for nonconvex simple integrals of sum types. J. Math. Anal. Appl. 221, 559–573 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  20. Yaari, M.E.: On the existence of optimal plan in continuous time allocation process. Econometrica 32, 576–590 (1964)

    Article  MATH  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, Technion, Haifa, 32000, Israel

    Alexander Ioffe

Authors
  1. Alexander Ioffe
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Editor information

Editors and Affiliations

  1. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-0041, Japan

    Shigeo Kusuoka (Professor) (Professor)

  2. Graduate Faculty of Economics, Hitotsubashi University, Kunitachi, Tokyo, 186-8601, Japan

    Akira Yamazaki (Professor) (Professor)

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© 2006 Springer-Verlag

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Ioffe, A. (2006). Variational problem associated with a model of welfare economics with a measure spaces of agents. In: Kusuoka, S., Yamazaki, A. (eds) Advances in Mathematical Economics. Advances in Mathematical Economics, vol 8. Springer, Tokyo. https://doi.org/10.1007/4-431-30899-7_12

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