| Contents | 5 |
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| 1 General Introduction | 9 |
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| 2 Notations and Mathematical Preliminaries | 20 |
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| Notations | 20 |
| Mathematical Preliminaries | 22 |
| Conceptualization and Definition of Evolutions of Economies in Four General Equilibrium Frameworks | 32 |
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| 3 Introduction to Part I | 33 |
| 4 Evolutions in the Traditional Walrasian Exchange Equilibrium Framework | 35 |
| 4.1 Evolutions Based on the Model of an Exchange Economy by Arrow and Hahn | 36 |
| 4.2 Evolutions Based on Dierker’s Version of the Model of an Exchange Economy | 40 |
| 4.3 Evolutions Based on a Model of a Large Exchange Economy | 43 |
| 5 Evolutions in an Exchange Equilibrium Framework Without Walras’ Law and Homogeneity | 47 |
| 5.1 Evolutions Based on a Model of an Exchange Economy Without Walras’ Law and Homogeneity | 48 |
| 5.2 Evolutions Based on a Model With Weakened Boundary Assumptions | 60 |
| 6 Evolutions in a General Equilibrium Framework With Production, Taxes, and Subsidies | 66 |
| 6.1 Evolutions Based on a General Equilibrium Model With Production and Taxes | 67 |
| 6.2 Evolutions Based on a General Equilibrium Model With Production, Taxes, and Subsidies | 73 |
| 7 Evolutions in the Temporary Fixprice Equilibrium Framework | 76 |
| 7.1 Evolutions Based on a Quantity Constrained Micromodel With Effective Demand `a la Benassy | 77 |
| 7.2 Evolutions Based on a Quantity Constrained Multi- Sectoral Model | 82 |
| 8 Conclusions | 92 |
| Formal Analysis | 93 |
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| 9 Introduction to Part II | 94 |
| 10 Near-Equilibrium Paths | 97 |
| 10.1 Existence of Joining Equilibrium Components and of Near- Equilibrium Paths for Each Type of Evolution From Part I | 98 |
| 10.2 A Criterion for Identifying Points on Joining Equilibrium Components | 105 |
| 11 Equilibrium Paths | 107 |
| 11.1 Approximating Evolutions of Exchange Economies With Nice Equilibrium Paths Based on Dierker’s Model from Section 4.2 | 108 |
| 11.2 Approximating Evolutions With Equilibrium Paths for the Other Basic Models From Part I | 122 |
| 11.3 A Strong Connectedness Result for the Graphs of the Equilibrium Correspondences of the Basic Models From Part I | 128 |
| 12 Economic Refinements of the Notion of an Evolution of Economies | 143 |
| 12.1 Course Evolutions and Connection Evolutions | 144 |
| 12.2 New and Old Commodities | 151 |
| 13 The Structure of the Equilibrium Price Set of an Evolution of Exchange Economies | 156 |
| 14 Comparison With Related Results in the Literature | 161 |
| 14.1 Studies of the Graph of the Walras Correspondence | 161 |
| 14.2 The Regular Approach | 164 |
| 15 Conclusions | 175 |
| Economic Analysis | 177 |
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| 16 Introduction to Part III | 178 |
| 17 Applications of the Analytical Results From Part II in the Economist’s Laboratory | 181 |
| 17.1 Extending the Path-Following Method to the Computation of Equilibria of Non- Regular Economies | 182 |
| 17.2 Generalizing Comparative Statics to Economies With Multiple Equilibria | 185 |
| 18 The Method of Kinetic Analysis of Evolving Economies in Historical Time | 186 |
| 19 Evolving Economies in Historical Time | 195 |
| 19.1 Evolving Economies in Discrete Historical Time | 199 |
| 19.2 Alternative Models of Evolving Economies in Continuous Historical Time | 200 |
| 19.3 Time Consuming Equilibrium Adjustment Processes | 210 |
| 19.4 Frictionless Tuning of Coordination Signals in Evolving Economies in Continuous Historical Time | 213 |
| 20 Conclusions | 219 |
| General Conclusions and Outlook | 221 |
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| 21 General Conclusions and Outlook | 222 |
| 22 Appendix A1 | 225 |
| Proof of Theorem 11.8 | 225 |
| 23 Appendix B | 235 |
| Proof of Theorem 13.1 | 235 |
| Proof of Corollary 13.2 | 251 |
| Proof of Proposition 13.4 | 251 |
| 24 Appendix C | 252 |
| Proof of Proposition 14.3 | 252 |
| References | 255 |
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| Subject Index | 262 |
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