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where k 1 1 ak 1 and l 2 [0,1] is a base learning rate. We note that if Sj is not the a source of the kth learning experience, then Mjk 0 and Ck(j) Ck 1(j). Thus, in this case we do not make any changes in our credibility. If Mjk 1, then Ck j Ck 1 j l k 1 rk Ck 1 j 1 l k 1 Ck 1 j l k 1 rk a a a Here we see l k 1 is an effective learning rate; it is the product of our base learning rate a and the negation of the arousal level. Essentially k 1 is the con dence in the current a a model. Thus, if k 1 1, then Ck j Ck 1 j l k 1 rk Ck 1 j . Here rK is being a used to calculate the current degree of performance of the source. We make some observations about the learning-updation model for the Ck(j), First, we note that if there exists only one source S {S1}, then we will get Ck(1) 1 ak. That is, the credibility of the agent is the negation of the arousal level. Since 1 aK is essentially the credibility of the model, we see that the credibility of a sole source and the credibility of the resulting model are equivalent. We note that in the source credibility updation algorithm (III) we can have different base learning rates for each source. Thus we can have l(j) instead of l, where l(j) is the base rate of learning the credibility of the jth agent. Further, if l(j) 0, then Ck(j) Ck 1(j) for all k. This implies a xed assigned credibility for the jth source.

A proof of Marton s coding theorem for the discrete memoryless broadcast channel IEEE Trans Inf Theory, IT-27:120 122, 1981 [189] P Elias Error-free coding IRE Trans Inf Theory, IT-4:29 37, 1954 [190] P Elias Coding for noisy channels IRE Conv Rec, Pt 4, pages 37 46, 1955 [191] P Elias Networks of Gaussian channels with applications to feedback systems IEEE Trans Inf Theory, pages 493 501, July 1967 [192] P Elias The ef cient construction of an unbiased random sequence Ann Math Stat, pages 865 870, 1972 [193] P Elias Universal codeword sets and representations of the integers IEEE Trans Inf Theory, pages 194 203, Mar 1975 [194] P Elias Interval and recency rank source coding: two on-line adaptive variable-length schemes IEEE Trans Inf Theory, pages 3 10, Jan 1987 [195] P Elias, A Feinstein, and C E Shannon.

money for its own spending. The second problem, an even more subtle one, is that those rich devices may have a low incentive to participate further in data forwarding because they have already had more than enough money. This is in some sense contrary to the currency in the real world but is probable in a wireless network if the virtual currency has no real value apart from buying data-forwarding actions. Game-Theoretic Forwarding. Usually, with a game-theoretic modeling, a Nash equilibrium could be reached and all devices would participate in the data-forwarding process with some rational strategies. However, a key assumption, commonly used in game-theoretic modeling, is that all devices have symmetric workload. As such, the devices are mutually dependent on each other. However, this assumption may not be valid in a real environment because devices at the edge need more service from other devices, but the reverse is usually not true. Evolutionary Scheme. This is essentially a repeated game approach in that the devices interactions are partitioned into multiple rounds. In each round, devices could use different strategies based on their past experience. The rational goal of each device is to maximize its payoff in the current round through using a strategy that is considered the best based on past experience. However, it is still dif cult to use this scheme to accurately model a real-world data-forwarding situation [17] because there are too many possible combinations of strategies to consider.

The person with BPD is seen as having dif culty in being at all detached from her experience and as being frequently overwhelmed by it Developing the capacity for mindfulness and living in the moment increases the potential for feeling appropriately in charge of the self Paradoxically, greater mastery is achieved through an increased ability to be detached A related idea is that of the balance between acceptance and change Zen is full of paradox and again there is something paradoxical in the idea that acceptance for instance, of unchangeable traumatic events in the past may be necessary for change to be possible The overall stance of the therapist in DBT is that of being a consultant to the patient Although the posture is not rigid, the DBT therapist tends to work with and advise the patient but does not take over except in extreme circumstances.