Independence, Additivity, Uncertainty

著者

• Vind, K. (Karl)
• Grodal, Birgit

書誌事項

Independence, Additivity, Uncertainty

Karl Vind ; with contributions by Birgit Grodal

（Studies in economic theory, 14）

Springer, c2003

注記

Includes bibliographical references

内容説明・目次

内容説明

Volume 14 in the Studies in Economic Theory series deals with the important economic problem of uncertainty. It contains all the classical results, but also new results that give a solution to how uncertainty can be formalized.

目次

1 Introduction.- 1.1 Economics.- 1.2 Statistics.- 1.3 Mathematic.- 1.4 Summary of results.- 1.5 Applications.- I Basic Mathematics.- 2 Totally preordered sets.- 2.1 Introduction.- 2.2 Order relations.- 2.2.1 Basic concepts.- 2.2.2 Completion.- 2.2.3 Representation.- 2.3 Topological concepts.- 2.4 The order topology.- 2.5 Representation.- 2.6 Notes.- 2.6.1 Basic concepts.- 2.6.2 Ordered sets.- 2.6.3 Topology and order topology.- 2.6.4 Ordered topological spaces.- 2.6.5 Lexicographic orders.- 2.6.6 Removing gaps.- 2.6.7 Further results.- 3 Preferences and preference functions.- 3.1 Introduction.- 3.2 Representations and representation theorems..- 3.3 Notes.- 4 Totally preordered product sets.- 4.1 Introduction.- 4.2 Independence assumptions.- 4.3 Order topologies on product sets.- 4.4 Existence of real continuous order homomorphisms.- 4.5 Note.- 5 A subset of a product set.- 5.1 Introduction.- 5.2 Independence.- 5.3 A total preorder on the set SA.- 5.4 The Thomsen and the Reidemeister conditions.- 5.5 Note.- 5.5.1 The Reidemeister and Thomsen conditions.- 6 Mean groupoids.- 6.1 Introduction.- 6.2 Definition of a commutative mean groupoid.- 6.3 Completion of commutative mean groupoid.- 6.4 The Aczel Fuchs theorem.- 6.5 Extension of a commutative mean groupoid.- 6.6 The bisymmetry equation.- 6.7 Notes.- 6.7.1 History and other results.- 6.7.2 Classifying commutative mean groupoids.- 6.7.3 Lexicographic "mean groupoids".- 6.7.4 Totally ordered mixture spaces.- 6.7.5 Reducible.- 6.7.6 Products of mean groupoids.- 6.7.7 Completion.- 6.7.8 Measurement of magnitudes.- 6.7.9 The bisymmetry equation.- 6.7.10 Counter example (Andrew Gleason, Harvard).- 7 Products of two sets as a mean groupoid.- 7.1 Introduction.- 7.2 Thomsen's and Reidemeister's conditions.- 7.3 (S, % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafS4EIyMba0 % baaaa!37AC!$$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{ \succ } $$) = (X x Y/ ~) as a commutative mean groupoid.- 7.4 f (x, y) = f1 (x) + f2 (y).- 7.5 The functional equation F (x, y) = g?1 (f1 (x) +f2 (y)).- 7.6 Notes.- 7.6.1 History and further results.- II Relations on Function Spaces.- 8 Totally preordered function spaces.- 8.1 Introduction.- 8.2 Notation and definitions.- 8.3 Real order homomorphisms.- 8.4 The function space as a mean groupoid.- 8.5 Minimal independence assumptions.- 8.6 Existence of F : G - ? and f : G x A ? ?.- 8.7 X = {1, 2, ... , n}(?i?XYi, % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafS4EIyMba4 % baaaa!37AD!$$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{ \succ } $$).- 8.8 Y = {0, 1}, (A, % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafS4EIyMba4 % baaaa!37AD!$$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{ \succ } $$).- 8.9 Y a commutative mean groupoid.- 8.9.1 (H, % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafS4EIyMba4 % baaaa!37AD!$$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{ \succ } $$, o).- 8.10 Y a commutative mean groupoid with zero.- 8.10.1 (H, % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafS4EIyMba4 % baaaa!37AD!$$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{ \succ } $$ , ox, ?x).- 8.11 Related functional equations.- 8.12 Notes.- 9 Relations on function spaces.- 9.1 Introduction.- 9.2 Existence of F : G ? ?, f : G x A ? ?.- 9.3 Existence of F : G x H ? ?, f : G x H x A ? ?.- 9.3.1 ((X, A), Y, G, P) Existence of F : G x G ? ? , f : G x G x A ? ?.- 9.4 X = {1, 2, ... , n} (?i?XYi, ?i?XZi, P).- 9.5 Y = Z = {0,1}, (X, A, P).- 9.6 Minimal independence assumptions.- 9.7 (Yx, Qx)x?X.- 9.7.1 (X, Y, G, Q, (Qx)x?X.- 9.7.2 ((G, % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafS4EIyMba4 % baaaa!37AD!$$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{ \succ } $$ o), (Yx, Px)x?X) = ((G, % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafS4EIyMba4 % baaaa!37AD!$$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{ \succ } $$, o), (Yx x Yx) / ~x, % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafS4EIyMba0 % badaWgaaWcbaGaamiEaaqabaaaaa!38D5!$${\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{ \succ } _x}$$, ox).- 9.7.3 (G, P),(Yx/ ~x, % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafS4EIyMba0 % badaWgaaWcbaGaamiEaaqabaaaaa!38D5!$${\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{ \succ } _x}$$, ox).- 9.7.4 % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaeWaaeaaca % WGhbGaaiilaiaabccacaqGqbaacaGLOaGaayzkaaGaaiilaiaaygW7 % caqGGaWaaeWaaeaadaWcgaqaaiaadMfadaWgaaWcbaGaamiEaaqaba % aakeaacqWI8iIodaWgaaWcbaGaamiEaaqabaGccaGGSaGaaeiiaiqb % lUNiMzaaDaWaaSbaaSqaaiaadIhaaeqaaOGaaiilaiaabccacaqGVb % WaaSbaaSqaaiaadIhaaeqaaaaakiablgAjxnaaBaaaleaacaWG4baa % beaaaOGaayjkaiaawMcaaaaa!4DEF!$$\left( {G,{\text{ P}}} \right),{\text{ }}\left( {<!-- -->{<!-- -->{<!-- -->{Y_x}} \mathord{\left/ {\vphantom {<!-- -->{<!-- -->{Y_x}} {<!-- -->{ \sim _x},{\text{ }}{<!-- -->{\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{ \succ } }_x},{\text{ }}{<!-- -->{\text{o}}_x}}}} \right. \kern-\nulldelimiterspace} {<!-- -->{ \sim _x},{\text{ }}{<!-- -->{\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{ \succ } }_x},{\text{ }}{<!-- -->{\text{o}}_x}}}{\square _x}} \right)$$.- 9.7.5 % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaeWaaeaada % qadaqaaiaadEeacaGGSaGaamiuaaGaayjkaiaawMcaaiaacYcadaqa % daqaaiaadMfadaWgaaWcbaGaamiEaaqabaGccaGGSaGaamiuamaaBa % aaleaacaWG4baabeaaaOGaayjkaiaawMcaamaaBaaaleaacaWG4bGa % eyicI4SaamiwaaqabaaakiaawIcacaGLPaaacqGH9aqpdaqadaqaam % aalyaabaWaaeWaaeaacaWGhbGaey41aqRaam4raiaacYcacuWI7jIz % gaqhaiaacYcacaWGVbGaaiilaiablgAjxbGaayjkaiaawMcaaiaacY % cadaqadaqaaiaadMfacqGHxdaTcaWGzbaacaGLOaGaayzkaaaabaGa % eSipIOZaaSbaaSqaaiaadIhaaeqaaOGaaiilaiqblUNiMzaaDaWaaS % baaSqaaiaadIhaaeqaaOGaaiilaiaad+gadaWgaaWcbaGaamiEaaqa % baGccqWIHwYvdaWgaaWcbaGaamiEaaqabaaaaaGccaGLOaGaayzkaa % aaaa!65EF!$$\left( {\left( {G,P} \right),{<!-- -->{\left( {<!-- -->{Y_x},{P_x}} \right)}_{x \in X}}} \right) = \left( {<!-- -->{<!-- -->{\left( {G \times G,\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{ \succ } ,o,\square } \right),\left( {Y \times Y} \right)} \mathord{\left/ {\vphantom {<!-- -->{\left( {G \times G,\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{ \succ } ,o,\square } \right),\left( {Y \times Y} \right)} {<!-- -->{ \sim _x},{<!-- -->{\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{ \succ } }_x},{o_x}{\square _x}}}} \right. \kern-\nulldelimiterspace} {<!-- -->{ \sim _x},{<!-- -->{\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{ \succ } }_x},{o_x}{\square _x}}}} \right)$$.- 9.8 Notes.- III Relations on Measures.- 10 Relations on sets of probability measures.- 10.1 Introduction.- 10.2 Definitions and mathematics.- 10.3 Existence of a Bernoulli function.- 10.4 von Neumann Morgenstern preferences.- 10.4.1 The finite case.- 10.4.2 The general case.- 10.4.3 Special cases.- 10.5 Notes.- IV Integral Representations.- 11 A general integral representation by Birgit Grodal.- 11.1 Introduction.- 11.2 Existence of u : X x Y ? ? with % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzamaabm % aabaGaam4zaiaacYcacaWGbbaacaGLOaGaayzkaaGaeyypa0Zaa8qe % aeaacaWG1bWaaeWaaeaacaWG4bGaaiilaiaadEgadaqadaqaaiaadI % haaiaawIcacaGLPaaaaiaawIcacaGLPaaaaSqaaiaadgeaaeqaniab % gUIiYdGccaWGKbGaamyDaaaa!482F!$$f\left( {g,A} \right) = \int_A {u\left( {x,g\left( x \right)} \right)} d\mu $$.- 11.3 Continuity and boundedness of u.- 11.4 Existence of u: X x Y ? ? when G is a set of measurable selections..- 11.5 Notes.- 12 Special integral representations by Birgit Grodal.- 12.1 Introduction.- 12.2 % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzamaabm % aabaGaam4zaiaacYcacaWGbbaacaGLOaGaayzkaaGaeyypa0Zaa8qe % aeaacqaHYoGydaqadaqaaiaadIhacaGGSaGabmyDayaaraWaaeWaae % aacaWGNbWaaeWaaeaacaWG4baacaGLOaGaayzkaaaacaGLOaGaayzk % aaaacaGLOaGaayzkaaaaleaacaWGbbaabeqdcqGHRiI8aOGaamizai % abeY7aTbaa!4C2D!$$f\left( {g,A} \right) = \int_A {\beta \left( {x,\bar u\left( {g\left( x \right)} \right)} \right)} d\mu $$.- 12.3 % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzamaabm % aabaGaam4zaiaacYcacaWGbbaacaGLOaGaayzkaaGaeyypa0Zaa8qe % aeaaceWG1bGbaebaaSqaaiaadgeaaeqaniabgUIiYdGcdaqadaqaai % aadEgadaqadaqaaiaadIhaaiaawIcacaGLPaaaaiaawIcacaGLPaaa % cqaHXoqydaqadaqaaiaadIhaaiaawIcacaGLPaaacaWGKbGaeqiVd0 % gaaa!4B7B!$$f\left( {g,A} \right) = \int_A {\bar u} \left( {g\left( x \right)} \right)\alpha \left( x \right)d\mu $$.- 12.4 % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzamaabm % aabaGaam4zaiaacYcacaWGbbaacaGLOaGaayzkaaGaeyypa0Zaa8qe % aeaaceWG1bGbaebadaqadaqaaiaadshaaiaawIcacaGLPaaacaWGLb % WaaWbaaSqabeaacqGHsislcqaH0oazcaWG0baaaaqaaiaadgeaaeqa % niabgUIiYdGccaWGKbGaeq4UdWgaaa!4972!$$f\left( {g,A} \right) = \int_A {\bar u\left( t \right){e^{ - \delta t}}} d\lambda $$.- 12.5 Notes.- V Decompositions and Uncertainty.- 13 Decompositions. Uncertainty.- 13.1 Introduction.- 13.2 von Neumann Morgenstern preferences.- 13.3 Function spaces.- 13.3.1 Y = Z = {0, 1}. Subjective probabilities and uncertainty.- 13.3.2 X = {1, 2, ... , n}(?i?XYi, P).- 13.3.3 Y and X general.- 13.4 Historical notes.- 13.4.1 Knight.- 13.4.2 Keynes.- 13.4.3 von Neumann Morgenstern.- 13.4.4 Savage.- 13.4.5 Aumann.- 13.4.6 Friedman.- 13.4.7 Bewley.- 13.5 Conclusion.- 14 Uncertainty on products.- 14.1 Introduction.- 14.2 One level uncertainty on factors and products.- 14.2.1 Y = Z = {0, 1}, X = X1 x X2.- 14.2.2 Y = Z = {0, 1}, (X, Ai)i?I.- 14.2.3 Y and Z general.- 14.3 Two level uncertainty.- 14.4 Conclusions.- 14.5 Note.- 15 Conditional uncertainty.- 15.1 Introduction.- 15.2 Relations on function spaces.- 15.3 One probability-uncertainty measure.- 15.4 Several probability-uncertainty measures.- 15.4.1 Y = Z = {0, 1}.- 15.4.2 Y and Z general.- 15.5 Two level uncertainty.- 15.6 Conclusion.- VI Applications.- 16 Production, utility, preference.- 16.1 Introduction.- 16.2 Production functions.- 16.3 Additive preference functions.- 16.4 Additive utility functions.- 16.5 Notes.- 17 Preferences over time.- 17.1 Introduction.- 17.2 ((T, A), Y, Z, G, H, P) Existence of f : G x H x A ? ?.- 17.2.1 Y general.- 17.3 Existence and decomposition of f : G x H x G x H x A ? ?.- 17.4 Notes.- 18 A foundation for statistics.- 18.1 Introduction and historical background.- 18.2 Basic concepts.- 18.3 Uncertainty about the parameter space..- 18.4 Robust Bayesian inference.- 18.5 Requirements for a foundation of statistics..- 18.6 A foundation of statistics.- 18.7 Notes.- References.

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詳細情報

• NII書誌ID(NCID): BA60490058
• ISBN:
  • 3540416838
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: xii, 277 p.
• 大きさ: 24 cm
• 分類:
  • DC21 : 330
• 親書誌ID:
  • BA13186834