Lectures on Young Measures ∗

0. Preface.

[1]  R. Aumann,et al.  A variational problem arising in economics , 1965 .

[2]  R. Rockafellar.  Integrals which are convex functionals. II , 1968 .

[3]  C. Ionescu Tulcea,et al.  Topics in the Theory of Lifting , 1969 .

[4]  N. Dinculeanu,et al.  Weak compactness in spaces of bochner integrable functions and applications , 1977 .

[5]  L. Lecam,et al.  Convergence in distribution of stochastic processes , 1957 .

[6]  Giovanni Colombo,et al.  On a classical problem of the calculus of variations without convexity assumptions , 1990 .

[7]  Michel Valdier.  A course on Young measures , 1994 .

[8]  Lower closure for orientor fields by lower semicontinuity of outer integral functionals , 1985 .

[9]  A. Meyers.  Reading , 1999, Language Teaching.

[10]  J. Neveu,et al.  Mathematical foundations of the calculus of probability , 1965 .

[11]  David Schmeidler,et al.  Fatou’s lemma in several dimensions , 1970 .

[12]  J. Aubin,et al.  Applied Nonlinear Analysis , 1984 .

[13]  Zvi Artstein,et al.  On a variational problem , 1974 .

[14]  Erik J. Balder,et al.  A Unifying Note on Fatou's Lemma in Several Dimensions , 1984, Math. Oper. Res..

[15]  M. Girardi.  Weak vs. norm compactness in $L_{1}$: the Bocce criterion , 1991 .

[16]  A. Mas-Colell.  On a theorem of Schmeidler , 1984 .

[17]  E. J. McShane.  Relaxed Controls and Variational Problems , 1967 .

[18]  J. Jacod,et al.  Sur un type de convergence intermédiaire entre la convergence en loi et la convergence en probabilité , 1981 .

[19]  On Cournot-Nash equilibrium distributions for games with differential information and discontinuous payoffs , 1991 .

[20]  M. Valadier.  Young measures, weak and strong convergence and the Visintin-Balder Theorem , 1994 .

[21]  I. Ekeland.  Sur le contr?le optimal de syst?mes gouvern?s par des equations elliptiques , 1972 .

[22]  V. Gapoškin.  Convergence and Limit Theorems for Sequences of Random Variables , 1973 .

[23]  An equilibrium result for games with private information and infinitely many players , 1994 .

[24]  E. Balder.  On a general duality result for moment problems , 1987 .

[25]  An extension of Prohorov's theorem for transition probabilities with applications to infinite-dimensional lower closure problems , 1985 .

[26]  On weak convergence implying strong convergence in L1-spaces , 1986, Bulletin of the Australian Mathematical Society.

[27]  Gerald S. Rogers,et al.  Mathematical Statistics: A Decision Theoretic Approach , 1967 .

[28]  Dimitri P. Bertsekas,et al.  Stochastic optimal control : the discrete time case , 2007 .

[29]  J. Warga.  Optimal control of differential and functional equations , 1972 .

[30]  Erik J. Balder,et al.  A General Approach to Lower Semicontinuity and Lower Closure in Optimal Control Theory , 1984 .

[31]  A. Ioffe.  On Lower Semicontinuity of Integral Functionals. II , 1977 .

[32]  Erik J. Balder,et al.  Generalized Equilibrium Results for Games with Incomplete Information , 1988, Math. Oper. Res..

[33]  Existence results without convexity conditions for general problems of optimal control with singular components , 1984 .

[34]  F. Flores-Bazán.  Existence theorems for a class of nonconvex problems in the calculus of variations , 1993 .

[35]  Erik J. Balder,et al.  New Existence Results for Optimal Controls in the Absence of Convexity: the Importance of Extremality , 1994 .

[36]  Erik J. Balder,et al.  A unifying approach to existence of nash equilibria , 1995 .

[37]  Some bang-bang theorems , 1984 .

[38]  C. Castaing,et al.  Convex analysis and measurable multifunctions , 1977 .

[39]  Dudley,et al.  Real Analysis and Probability: Measurability: Borel Isomorphism and Analytic Sets , 2002 .

[40]  F. Page.  Incentive compatible strategies for general stackelberg games with incomplete information , 1989 .

[41]  I. Ekeland,et al.  Convex analysis and variational problems , 1976 .

[42]  Alain Ghouila-Houri,et al.  Sur la généralisation de la notion de commande d'un système guidable , 1967 .

[43]  Erik J. Balder,et al.  Fatou's lemma in infinite dimensions , 1988 .

[44]  Christian Hess,et al.  Measurability and integrability of the weak upper limit of a sequence of multifunctions , 1990 .

[45]  E. Balder.  On a useful compactification for optimal control problems , 1979 .

[46]  E. Balder.  On the existence of optimal contract mechanisms for incomplete information principal-agent models , 1996 .

[47]  Giuseppe Buttazzo,et al.  Semicontinuity, Relaxation and Integral Representation in the Calculus of Variations , 1989 .

[48]  E. Balder.  A unified approach to several results involving integrals of multifunctions , 1994 .

[49]  J. Lasry,et al.  Int'egrandes normales et mesures param'etr'ees en calcul des variations , 1973 .

[50]  L. Lecam.  An Extension of Wald's Theory of Statistical Decision Functions , 1955 .

[51]  R. Aumann.  INTEGRALS OF SET-VALUED FUNCTIONS , 1965 .

[52]  Charles Castaing.  Méthode de compacité et de décomposition applications: Minimisation, convergence des martingales, lemma de Fatou multivoque , 1993 .

[53]  O. H. Lowry.  Academic press. , 1972, Analytical chemistry.

[54]  C. Castaing,et al.  Méthodes de troncature appliqués à des problèmes de convergence faible ou forte dans L1 , 1992 .

[55]  E. Rowland.  Theory of Games and Economic Behavior , 1946, Nature.

[56]  Erik J. Balder,et al.  On Prohorov''s theorem for transition probabilities , 1989 .

[57]  Erik J. Balder.  On equivalence of strong and weak convergence inL1-spaces under extreme point conditions , 1991 .

[58]  New sequential compactness results for spaces of scalarly integrable functions , 1990 .

[59]  Zvi Artstein,et al.  A note on fatou's lemma in several dimensions , 1979 .

[60]  J. Ball,et al.  Fine phase mixtures as minimizers of energy , 1987 .

[61]  Abraham Wald,et al.  Statistical Decision Functions , 1951 .

[62]  J. Pfanzagl,et al.  Convexity and Conditional Expectations , 1974 .

[63]  R. Bass,et al.  Review: P. Billingsley, Convergence of probability measures , 1971 .

[64]  Erik J. Balder,et al.  A general denseness result for relaxed control theory , 1984, Bulletin of the Australian Mathematical Society.

[65]  From weak to strong types of $L_E^1$-convergence by the Bocce-criterion , 1994, math/9402210.

[66]  L. Young.  Lectures on the Calculus of Variations and Optimal Control Theory , 1980 .

[67]  Singiresu S. Rao,et al.  Optimization Theory and Applications , 1980, IEEE Transactions on Systems, Man, and Cybernetics.

[68]  R. Chacon,et al.  Continuity and compactness of measures , 1980 .

[69]  S. Chatterji.  Les Martingales et leurs Applications Analytiques , 1973 .

[70]  Semicontinuità inferiore di un funzionale integrale dipendente da funzioni di classeLp a valori in uno spazio di Banach , 1980 .

[71]  Augusto Visintin,et al.  Strong convergence results related to strict convexity , 1984 .

[72]  Erik J. Balder,et al.  Fatou's Lemma for Multifunctions with Unbounded Values , 1995, Math. Oper. Res..

[73]  On infinite-horizon lower closure results for optimal control , 1988 .