By David Sidney Parlett
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Additional resources for Botticelli and Beyond:Over 100 of the World's Best Word Games
And Citron, S. J. On noninferior perfonnance index vectors, larA, 7 (1):11-27,1969.  Salukvadze, M. On the existence of solutions in problems of optimization under vector-valued criteria, larA, 13 (2):203-217,1974.  Tolwinski, B. A concept of cooperative equilibrium for dynamic games, Automatica, 18, (4):431-441, 1982.  Scarf, H. The Core of a n-person game, Econometrica, 35, 50-69,1967.  Schmitendorf, W. E. and Moriarty, G. A sufficiency condition for coalitive Paretooptimal solutions, lOTA, 18 (1):93-102,1976.
As usual in an evolutionary framework, each player i becomes a population of agents. The number of agents, fl, is supposed to be finite. The game is repeated over and over, an infinite number of times. At each time t, each agent is randomly matched with a randomly drawn agent of the opposing population. Each agent, at time t, is described by a characteristic, which consists of his (pure) strategy, coupled with a conjecture, which specifies his beliefs (at each of his information sets) about the actions taken by the other agents.
Is given by (27), and similarly mutatis mutandis for U2, are team minimax optimal. ] Explicitly writing the six blocks of Riccati equation (29) is not very nice. It is nevertheless nothing more than an exercise in elementary matrix calculus. The noteworthy point about it is that it is not difficult to check on those equations that As a consequence, one can check, as should be expected, that if w is set to the worst disturbance, all three vectors x, Xl and X2 agree. ] REFERENCES  Bansal, R.
Botticelli and Beyond:Over 100 of the World's Best Word Games by David Sidney Parlett