Initiation aux probabilites by Ross S.M.

By Ross S.M.

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6. 7. 8. 9. 10. Information theory, 10 (1972), 350–351; Engl. : 10 (1976), 281–282. Limit theorems, 20 (1975), 507–508; Engl. : 20 (1979), 152–153. Mathematical statistics, 15 (1974), 480–484; Engl. : 15 (1976), 721–725. Probability distributions, 21 (1975), 471–472; Engl. : 21 (1979), 66–69. Probability theory, 4 (1971), 540–543; Engl. : 4 (1973), 425–429. 1 (1976), 1364; Engl. : 24 (1980), 92. 1 (1976), 1255; Engl. : 24 (1980), 24. V. Prokhorov xxxvii ` Mathematical Encyclopedia. (Russian) In 5 volumes, Moscow: “Sovet.

35. 36. 37. V. Prokhorov. Probability Theory and Mathematical Statistics, 45. Moscow: “Nauka”, 1994. 112 pp. Probability Theory. 7. Limit Theorems for Stochastic Processes. Current Problems in Mathematics. Fundamental Directions. Vol. A. V. Prokhorov. Itogi Nauki i Tekhniki, Akad. Nauk SSSR. Moscow: Vsesoyuz. Inst. Nauchn. i Tekhn. , 1995, 198 pp. Athens Conference on Applied Probability and Time Series Analysis. Vol. I. Applied probability. M. Gani. Papers from the conference held in Athens, March 22–26, 1995.

To model gossip, wouldn’t it be better to make the reward to agent i depend on the number of other agents who learn the item from agent i ? (Sect. t/ to agent i for information that i has possessed for time t, the function s. / not specified in advance but a component of strategy and hence with a Nash equilibrium value? 5 Conclusions As the list above suggests, we are only scratching the surface of a potentially large topic. In the usual setting of information communication networks, the goal is to communicate quickly, and our two basic examples (complete graph; nearestneighbor grid) are the extremes of rapid and slow communication.

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