2011 Data Compression Conference 2011
DOI: 10.1109/dcc.2011.38
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Conflict in Distributed Hypothesis Testing with Quantized Prior Probabilities

Abstract: The effect of quantization of prior probabilities in a collection of distributed Bayesian binary hypothesis testing problems over which the priors themselves vary is studied, with focus on conflicting agents. Conflict arises from differences in Bayes costs, even when all agents desire correct decisions and agree on the meaning of correct. In a setting with fusion of local binary decisions by majority rule, Nash equilibrium local decision strategies are found. Assuming that agents follow Nash equilibrium decisi… Show more

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Cited by 15 publications
(13 citation statements)
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“…Next, we consider ∂R 2 ∂q 1 , which is zero at q 1 and q 2 that satisfy (24), (19) and (21), we obtain P I0 e,2 = P II1 e,2 and P I1 e,2 = P II0 e,2 . Therefore, only q 2 = p 0 completes (24) and makes ∂R 2 ∂q 1 zero.…”
Section: (34)mentioning
confidence: 99%
See 1 more Smart Citation
“…Next, we consider ∂R 2 ∂q 1 , which is zero at q 1 and q 2 that satisfy (24), (19) and (21), we obtain P I0 e,2 = P II1 e,2 and P I1 e,2 = P II0 e,2 . Therefore, only q 2 = p 0 completes (24) and makes ∂R 2 ∂q 1 zero.…”
Section: (34)mentioning
confidence: 99%
“…While the prior probability is one of the basic elements of estimation, the effect of accuracy of the prior probability has not received a great deal of attention. Initially building upon [18], we have previously studied the effect of categorization of problem instances as inducing quantization of prior probabilities [19]- [22]. The present paper is more fundamental in that it addresses whether accurate prior probabilities are even the most favorable.…”
Section: Introductionmentioning
confidence: 99%
“…If all agents individually optimize their decision rules, the resulting performance is not as good as their best together [11].…”
Section: Diverse Quantizersmentioning
confidence: 99%
“…An alternative is for each agent to have potentially-different Bayes costs. This introduces game-theoretic considerations as described in [11].…”
Section: Introductionmentioning
confidence: 99%
“…Our work is different from other work in network quantization [1], since interaction among agents is critical. We are only aware of one prior work in game-theoretic quantization [2], which was concerned with group decision-making.…”
Section: Introductionmentioning
confidence: 99%