Adjustment Processes for Exchange Economies and Noncooperative Games

1. Introduction.- 1.1 Adjustment processes in economies.- 1.2 Some examples of globally efficient processes.- 1.3 Outline of the monograph and main results.- 2. Preliminaries.- 2.1 Notation.- 2.2 The stationary point problem.- 2.3 Notions related to simplicial algorithms.- 2.4 Concepts from differential topology.- 3. Existence of adjustment processes.- 3.1 Two price adjustment processes for a pure exchange economy.- 3.2 The proportional process 37 3.3. Direct approach towards the sign process 4l 3.4. Homotopy approach towards the sign process.- 4. An adjustment process for an international trade model.- 4.1 The model.- 4.2 An example.- 4.3 The process.- 4.4 Description of the price adjustments.- 4.5 Numerical illustration.- 5. An adjustment process for an exchange economy with linear production technologies.- 5.1 The model.- 5.2 Existence of the path 82 5.3. The adjustment process 86 5.4. Examples.- 6. Finding Nash equilibria in noncooperative games.- 6.1 Solving the bi-matrix game as a stationary point problem.- 6.2 The procedure.- 6.3 Game-theoretic interpretation.- 6.4 How to find more equilibria.- 6.5 Interpretation and generalization of the Lemke-Howson algorithm.- 6.6 Computing Nash equilibria in noncooperative more-person games.- References.