
Social Welfare and Price of Anarchy in Preemptive Priority Queues
Consider an unobservable MG1 queue with preemptiveresume scheduling a...
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Auctions with Interdependence and SOS: Improved Approximation
Interdependent values make basic auction design tasks – in particular ma...
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Distributed resource allocation through utility design  Part I: optimizing the performance certificates via the price of anarchy
Game theory has emerged as a novel approach for the coordination of mult...
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Highutility itemset mining for subadditive monotone utility functions
Highutility Itemset Mining (HUIM) finds itemsets from a transaction dat...
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From Monopoly to Competition: Optimal Contests Prevail
We study competition among contests in a general model that allows for a...
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Can Buyers Reveal for a Better Deal?
We study smallscale market interactions in which buyers are allowed to ...
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Farsighted Collusion in Stable Marriage Problem
The Stable Marriage Problem, as proposed by Gale and Shapley, considers ...
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Competitive Information Disclosure with Multiple Receivers
This paper analyzes a model of competition in Bayesian persuasion in which two symmetric senders vie for the patronage of multiple receivers by disclosing information about the qualities (i.e., binary state – high or low) of their respective proposals. Each sender is allowed to commit to a signaling policy where he sends a private (possibly correlated) signal to every receiver. The sender's utility is a monotone set function of receivers who make a patron to this sender. We characterize the equilibrium structure and show that the equilibrium is not unique (even for simple utility functions). We then focus on the price of stability (PoS) in the game of two senders – the ratio between the best of senders' welfare (i.e., the sum of two senders' utilities) in one of its equilibria and that of an optimal outcome. When senders' utility function is anonymous submodular or anonymous supermodular, we analyze the relation between PoS with the ex ante qualities λ (i.e., the probability of high quality) and submodularity or supermodularity of utility functions. In particular, in both families of utility function, we show that PoS = 1 when the ex ante quality λ is weakly smaller than 1/2, that is, there exists equilibrium that can achieve welfare in the optimal outcome. On the other side, we also prove that PoS > 1 when the ex ante quality λ is larger than 1/2, that is, there exists no equilibrium that can achieve the welfare in the optimal outcome. We also derive the upper bound of PoS as a function of λ and the properties of the value function. Our analysis indicates that the upper bound becomes worse as the ex ante quality λ increases or the utility function becomes more supermodular (resp. submodular).
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