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Intriligator M.D., Arrow K.J. — Handbook of Mathematical Economics (vol. 4)
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Íàçâàíèå: Handbook of Mathematical Economics (vol. 4)
Àâòîðû: Intriligator M.D., Arrow K.J.
Àííîòàöèÿ: The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field. Volume 3 covers Mathematical Approaches to Welfare Economics, including social choice theory, optimal taxation, and optimal growth, together with Mathematical Approaches to Economic Organization and Planning, including organization design and decentralization.
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Ãîä èçäàíèÿ: 1986
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Äîáàâëåíà â êàòàëîã: 01.03.2007
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Ïðåäìåòíûé óêàçàòåëü
Savage's expected utility theory, statistics and 1795—1796
Savage's Foundations 1796
Savage, L.J. 1795
Sawyer, C.N. 1844 1862
Sayers, C. 2210 2227 2228
Scarf's algorithm 1964—1965 1966 1971 1986 2075
Scarf's algorithm, mesh 2057
Scarf's algorithm, simplex 2056
Scarf's algorithm, static exchange economy 2055—2057 2060
Scarf's algorithm, subsimplex 2056 2057
Scarf, H.E. 1964 1965 1984 1985 2056 2085
Schaefer, H.H. 1840 1842
Scheinkman, J.A. 1668 1889 2015 2097 2116 2228 2229
Schlee, E. 1790
Schmeidler, D. 1763—1831 2031
Scholes, M. 1669
Schultz, C. 2039
Schwartz, E. 1669
Scitovsky community indifference curve 1988
Secondary assets 1530 1607—1608
Security markets, arbitrage pricing of redundant securities 1655—1656
Security markets, pricing see “Arbitrage: asset pricing: value in”
Security-spot market equilibrium 1619 1634—1635
Segal, U. 1777 1781 1789
Selten, R. 2028
Separating hyperplane theorem 1627
Separation theorem 1839—1840 1843 1853 1860 1870
Sequential market models, sunspot equilibria in see “Sunspot equilibria”
Shafer, W. 1523—1614 1666 1846 2055
Shaked, A. 2018 2019
Shapiro, C. 2040
Shapley — Folkman theorem 2149
Shapley, L. 2007 2031
Shapley, L.S. 2067
Shareholders, extra-market information from 1588
Sharpe, W. 1622
Shastri, K. 1669
Shell, K. 1685 1686 1688 1690 1691 1692 1758 1914 1922 1932 2112 2114—2115 2210
Shiryayev, A. 1669
Shitovitz, B. 2188
Shoven, J.B. 1965 2051 2127
Shreve, S.E. 1639 1640 1669 1876
Shubik, M. 2003 2007 2013 2031 2040 2067
Shubik-type markets 1692
Sibley, D.S. 1966
Sidrauski — Brock model 1758
Silvestre, J. 2031 2039
Simon, C. 2071
Simon, L.K. 2205
simplex 2056 2128
Simplex, subsimplex 2056 2057
Sims, C. 2223
Simulated annealing algorithm 2077
Sinai, Ya.G 2214
Singleton, K. 1670
Skew-symmetric bilinear theories 1776
Skorohod, A. 1669
Smale's infinite dimensional version of Sard 1889
Smale's method 1988
Smale, S. 1965—1966 1985 2057—2058 2109
Smith, Adam 1525
Smith, V.L. 1776
Smooth preferences 1528
Smoothing 1806
Sneessens, H. 2039
Snower, D. 2039
Social security, no new generation and 1900
Social security, OGM and 1900
Social security, pay-as-you-go system 1900
Social welfare see “Welfare”
Sonnenschein, H. 2010 2028 2040 2054 2055 2068 2069 2130
Sonnerschein — Mantel — Debreu theorem 2075
Sosin, H. 1669
spanning 1619
Spanning, dynamic 1633 1636 1637—1639 1656—1659
Spanning, endowment spanning 1622
Spanning, Girsanov's theorem and 1637—1639 1656—1659
Spanning, reading sources 1666—1667 1668
Spanning, shareholder unaninimity and 1622
Spanning, variance aversion and 1622
Spatial competition 2019—2020
Spear, S.E. 1609 1734 1738 1746—1747 1754 1889 2134
Spence, A.M. 2016 2022
Sperner's Lemma 2056
Spot market equilibrium 1542 1596
Spot market multiplicity 1691 1692
Spot price process, stochastic 1558—1559
Spot-financial markets 1529—1531
Sraffa, P. 2031
Srivastava, S. 1754
SSB see “Skew-symmetric bilinear theories”
SSE see “Sunspot equilibria stationary”
Stanton, R. 1665 1669
Starr, R.M. 1973 1980 1981
State dependent preferences 1800—1802
State prices 1536—1537 1619 1626 1654—1655
Static economies with taxes see “Taxes”
static exchange economy 2061—2065 2169 2175
Static exchange economy, aggregate excess demand functions 2051 2052 2055
Static exchange economy, computations 2051—2072
Static exchange economy, existence of equilibrium 2052—2055
Static exchange economy, existence of equilibrium, Brouwer's theorem 2053—2054 2055 2057
Static exchange economy, existence of equilibrium, Kakutani's theorem 2054
Static exchange economy, Gauss — Seidel method 2068 2070 2075
Static exchange economy, global Newton method 2057—2059 2060—2061 2063
Static exchange economy, index theorem 2059—2061 2063—2064
Static exchange economy, multiplicity of equilibria 2065—2068
Static exchange economy, multiplicity of equilibria, gross substitutability 2067 2068 2069
Static exchange economy, multiplicity of equilibria, weak axiom of revealed preference 2067—2068 2069
Static exchange economy, Newton's method 2068
Static exchange economy, path-following methods 2061—2065 2169 2175
Static exchange economy, regularity and index theorem 2059—2061
Static exchange economy, Scarf's algorithm 2055—2057 2060
Static exchange economy, tatonnement 2068—2069 2070 2071
static production economy 2086
Static production economy, activity analysis 2086 2088
Static production economy, aggregate excess demand function 2083 2085
Static production economy, Cobb — Douglas production functions 2088—2089
Static production economy, computation 2078—2089
Static production economy, existence of equilibrium 2078—2082
Static production economy, existence of equilibrium, activity analysis 2079 2081 2082
Static production economy, gross substitutability 2083 2085
Static production economy, index theorem and multiplicity of equilibria 2082—2085
Static production economy, non-substitution theorem 2087—2088
Static production economy, path-following method 2086
Static production economy, tatonnement method 2085—2086
Static production economy, weak axiom of revealed preference 2083 2085
Statistical inference theory 2228—2233
Statistical inference theory, BDS test 2228—2229
Statistical inference theory, detection of temporal dependence 2228 2229
Statistical inference theory, deterministic and stochastic data 2231—2232
Statistical inference theory, model misspecification tests 2230—2231
Statistical inference theory, nuisance parameter theorem 2230—2231
Stefan Problem 1665
Stengos, T. 2228
Stieltjes integral 1673
Stiglitz, J.E. 1589 1593 1607 1667 1813 1817 1819 1822 1823 2016 2022 2040
Stinchcombe, M.B. 2205
Stochastic dominance 1778 1781
Stochastic economy 2099—2102
Stochastic economy, dynamic programming framework 2101
Stochastic economy, Euler equations 1629—1631 2100 2101 2102
Stochastic economy, OGMs 1911 1912
Stochastic economy, policy function 2102
Stochastic economy, return function 2101
Stochastic economy, transversality conditions 2101
Stochastic economy, value function 2100 2102
Stochastic exchange economy, GEI model with real assets 1557—1565
Stochastic exchange economy, GEI model with real assets, GE and GEI equilibrium 1558—1559
Stochastic exchange economy, GEI model with real assets, generically complete markets 1562—1563
Stochastic exchange economy, GEI model with real assets, incomplete markets 1563—1565
Stochastic exchange economy, GEI model with real assets, information structure 1557—1558
Stochastic exchange economy, GEI model with real assets, no-arbitrage equilibrium 1559—1562
Stochastic integration 1670—1673
Stochastic integration, Brownian motion 1671
Stochastic integration, definition of 1672—1673
Stochastic integration, quadratic variation 1671
Stochastic integration, stock-market (GEI) 1579—1581
Stochastic integration, stock-market (GEI), default 1579
Stochastic integration, stock-market (GEI), equilibrium with fixed producer plans 1581
Stochastic integration, stock-market (GEI), firms objective functions 1582—1583
Stochastic integration, stock-market (GEI), generically complete stock market 1583—1584
Stochastic integration, stock-market (GEI), incomplete stock-market 1585—1588
Stochastic integration, stock-market (GEI), market value maximisation 1588—1589
Stochastic integration, stock-market (GEI), matrix of inter-firm shareholdings 1580
Stochastic integration, stock-market (GEI), matrix of stock-market returns 1580
Stochastic integration, stock-market (GEI), partial spanning 1584—1585
Stochastic integration, stock-market (GEI), shareholders 1588
Stoer, J. 2063
Stokey, N. 1668 1670 1757 2094 2096 2099 2101 2103 2104
Streufert, P.A. 2099
Strotz, R.H. 1789 1822
Stroyan, K.D. 2205
Subspaces, dual subspaces 1536—1537
Subspaces, fixed point theorem 1557
Subspaces, Grassmanian manifold 1550—1551
Subspaces, of income transfers 1530—1531 1536—1537 1572
Subspaces, of present value vectors 1536—1537
Subspaces, orthoganal complement 1544
Subspaces, representation of 1543—1545
Substitution 2018
Substitution, Allen — Hicks elasticity of 2011
Substitution, Chamberlin model and 2010—2011
Substitution, gross substitutability 2067 2068 2069
Substitution, gross substitutability, OGM 2125
Substitution, gross substitutability, static production economy 2083 2085
Substitution, marginal rates of 1864 1931
Substitution, non-substitution theorem 2087—2088
Summers, L. 2122 2126
Sundaresan, S. 1668
Sunspot equilibria 1683—1762
Sunspot equilibria, bifurcation theory 1722—1723 1725 1741—1743
Sunspot equilibria, bifurcation theory, subcritical Flip bifurcation 1742
Sunspot equilibria, bifurcation theory, supercritical Flip bifurcation 1742
Sunspot equilibria, concavity of utility function 1691
Sunspot equilibria, consistency of derivatives assumption 1705
Sunspot equilibria, cycles 1727—1728 1738—1739 1754
Sunspot equilibria, degenerate 1704
Sunspot equilibria, existence of 1726—1734
Sunspot equilibria, existence of, continuity arguments, implicit function theorem 1726—1729
Sunspot equilibria, existence of, continuity arguments, sunspots and cycles 1727—1728
Sunspot equilibria, existence of, continuity arguments, two steady states 1728—1729
Sunspot equilibria, existence of, dynamical systems and heteroclinic equilibria 1729—1734
Sunspot equilibria, existence of, dynamical systems and heteroclinic equilibria, homoclinic solutions 1734
Sunspot equilibria, existence of, dynamical systems and heteroclinic equilibria, random walk property 1730
Sunspot equilibria, existence of, invariant compact argument 1754
Sunspot equilibria, existence of, invariant set arguments 1706—1715
Sunspot equilibria, existence of, invariant set arguments, applications 1710—1715
Sunspot equilibria, existence of, invariant set arguments, expectation correspondence 1709
Sunspot equilibria, existence of, invariant set arguments, invariant compact set 1708—1715
Sunspot equilibria, existence of, invariant set arguments, invariant set open 1706—1708
Sunspot equilibria, existence of, invariant set arguments, rationalisability 1707—1708
Sunspot equilibria, existence of, invariant set arguments, strong version 1708—1715
Sunspot equilibria, existence of, invariant set arguments, weak version 1706—1708
Sunspot equilibria, finite support, with 1702—1705
Sunspot equilibria, fragility of 1751
Sunspot equilibria, GE with rational expectations 1684—1686
Sunspot equilibria, GE with rational expectations, Arrow — Debreu markets 1684—1685
Sunspot equilibria, GE with rational expectations, Radner equilibria 1685
Sunspot equilibria, heteroclinic 1729—1734 1747
Sunspot equilibria, heterodox sunspot equilibria 1726
Sunspot equilibria, indeterminacy of stationary state 1715—1726
Sunspot equilibria, indeterminacy of stationary state, finite SSE 1718—1721
Sunspot equilibria, indeterminacy of stationary state, linear models 1716—1718
Sunspot equilibria, ineffective theorem and 1686—1689 1692
Sunspot equilibria, infinite horizon sequential models 1693—1697
Sunspot equilibria, insurability issue 1686—1689
Sunspot equilibria, intrinsic and extrinsic uncertainty 1744—1747
Sunspot equilibria, intrinsic and extrinsic uncertainty, belief generating role 1745
Sunspot equilibria, intrinsic and extrinsic uncertainty, continuity argumenr 1744—1746
Sunspot equilibria, intrinsic and extrinsic uncertainty, non-sunspot connected equilibria 1747
Sunspot equilibria, intrinsic and extrinsic uncertainty, rational expectation equilibria 1746 1747
Sunspot equilibria, intrinsic and extrinsic uncertainty, sunspot connected equilibria 1747
Sunspot equilibria, intrinsic and extrinsic uncertainty, trembling hand economy 1744
Sunspot equilibria, intrinsic and extrinsic uncertainty, “sunspot like” fluctuations 1746
Sunspot equilibria, invariant compact argument 1754
Sunspot equilibria, learning, adaptive learning rules 1749—1750
Sunspot equilibria, learning, convergence 1749
Sunspot equilibria, learning, eductive 1748
Sunspot equilibria, learning, evolutive 1748—1751
Sunspot equilibria, learning, expectation dependant on past realizations 1748—1749
Sunspot equilibria, learning, Poincare — Hopf index 1750
Sunspot equilibria, literature on 1689—1693
Sunspot equilibria, local sunspot equilibria 1715—1726
Sunspot equilibria, Markov chain 1694 1695
Sunspot equilibria, memory models 1751—1754
Sunspot equilibria, memory models, E-stability 1751
Sunspot equilibria, memory models, Frechet derivatives 1753
Sunspot equilibria, memory models, general case 1753—1754
Sunspot equilibria, memory models, independent interest (E-stability) 1751
Sunspot equilibria, memory models, initial conditions 1752
Sunspot equilibria, model 1697—1701
Sunspot equilibria, model, continuity assumption 1698—1699
Sunspot equilibria, model, convex valuedness of rationalizing measures 1699
Sunspot equilibria, model, deterministic dynamics and determinacy 1699—1701
Sunspot equilibria, model, regularity of SSE 1699
Sunspot equilibria, model, temporary equilibria 1697 1698
Sunspot equilibria, multiplicity 1687 1691—1692 1695 1695—1696 1696
Sunspot equilibria, n-commodity version of OGM model 1758
Sunspot equilibria, non-informative sunspot 1739—1740
Sunspot equilibria, non-neutral money 1747
Sunspot equilibria, OGM 1685 1689 1690 1693 1754—1745
Sunspot equilibria, OGM, n-commodity version 1758
Sunspot equilibria, OGM, with government expenditures 1712—1713
Sunspot equilibria, perfect foresight equilibrium 1699—1700
Sunspot equilibria, Poincare — Hopf theorem 1734—1741
Sunspot equilibria, rational expectations and 1701—1705 1746 1747
Sunspot equilibria, smoothness assumption 1705
Sunspot equilibria, standard first best hypothesis 1758
Sunspot equilibria, stationary sunspot equilibria (SSE) 1695
Sunspot equilibria, stationary sunspot equilibria (SSE), finite stationary 1718—1721
Sunspot equilibria, stationary sunspot equilibria (SSE), regularity of 1699
Sunspot equilibria, structure of 1734—1743
Sunspot equilibria, structure of, bifurcation theory see “Bifurcation theory”
Sunspot equilibria, structure of, differential topology and Poincare — Hopf theorem 1734—1741
Sunspot equilibria, structure of, differential topology and Poincare — Hopf theorem, boundary conditions 1735
Sunspot equilibria, structure of, differential topology and Poincare — Hopf theorem, cycles in N-dimensional case 1738—1738
Sunspot equilibria, structure of, differential topology and Poincare — Hopf theorem, index theorems 1734 1735
Sunspot equilibria, structure of, differential topology and Poincare — Hopf theorem, non-informative sunspots 1739—1741
Sunspot equilibria, structure of, differential topology and Poincare — Hopf theorem, one-dimensional case 1737—1738
Sunspot equilibria, structure of, differential topology and Poincare — Hopf theorem, unique backward equilibrium 1739
Sunspot equilibria, structure of, differential topology and Poincare — Hopf theorem, uniqueness of stationary equilibrium 1735—1736 1737
Sunspot equilibria, structure of, invariant compact argument 1734
Sunspot equilibria, temporary equilibrium 1697—1698
Sunspot equilibria, time independent 1701—1702
Sunspot equilibria, welfare relevant 1691
Superstructure 2154 2155
Superstructure, embeddings 2156—2157 2158
Supply, general excess supply 2034
Supply, positive net supply 1533
Supply, zero net supply 1533
Support gap 2183
Supremum (least upper bound) 1840
Sure thing principle 1767 1794 1803
Sutton, J. 2018 2019
Svensson, L. 1668 2039
Swinney, H. 2212 2227
Szu, H. 2078
Takens, F. 2212 2224 2225 2226 2227
Takens, theorem 2224 2225 2226
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