Dissolution of a Global Alliance
Figure 2 : A branch of transitions in an unstable system of three conflicting rational actors . The actual gain and the maximal gains of each actor separated by ”/” are given in the square brackets . The example illustrates a series of transitions suggesting an infinite cycling as follows . The unsatisfied actor 3 makes the change expecting for its maximal gain in a later step which makes 1 to lose its maximum and 2 gains its own . Prospecting to get back its maximal gain , actor 1 makes a change which yields to 3 the expected maximum . Then , actor 2 makes a change to gain an immediate improvement which brings the system back to the initial state , though in its reverse symmetrical setting .
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