2016
DOI: 10.1016/j.elerap.2016.04.002
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An equilibrium analysis of trading across multiple double auction marketplaces using fictitious play

Abstract: We investigate how automated traders strategically select marketplaces and submit offers across multiple double auction marketplaces. We model the problem as a Bayesian game with traders that have continuous private values, and use fictitious play to analyse the traders' Nash equilibrium market selection and bidding strategies. We do this for different trading environments (isolated, single-home, multi-home and hybrid) and different types of goods (independent, substitutable and complementary). We find that, i… Show more

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Cited by 5 publications
(6 citation statements)
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References 39 publications
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“…But the original algorithm can only solve the complete information game, so Rabinovich et al proposed a generalized FP algorithm to analyze the continuous type of incomplete information game [30], but this generalized algorithm is only suitable for unilateral auctions. Shi et al made improvements on this basis to analyze the incomplete information game problem under double auctions [31]. For the first time, Schvartzman and Wellman combined empirical game theory with the Q-learning algorithm in reinforcement learning to analyze the optimal trading strategy of traders in the double auction market [32], but this algorithm is only suitable for a small and discrete space of bidding actions.…”
Section: Related Workmentioning
confidence: 99%
“…But the original algorithm can only solve the complete information game, so Rabinovich et al proposed a generalized FP algorithm to analyze the continuous type of incomplete information game [30], but this generalized algorithm is only suitable for unilateral auctions. Shi et al made improvements on this basis to analyze the incomplete information game problem under double auctions [31]. For the first time, Schvartzman and Wellman combined empirical game theory with the Q-learning algorithm in reinforcement learning to analyze the optimal trading strategy of traders in the double auction market [32], but this algorithm is only suitable for a small and discrete space of bidding actions.…”
Section: Related Workmentioning
confidence: 99%
“…McAfee's double auction is most widely used because of its economic robustness such as truthfulness, individual rationality and ex-post budget balance (Chen et al, 2014). However, most studies on it have focused on how to design strategy-proof DA mechanisms (Colini-Baldeschi et al, 2016;Nassiri-Mofakham et al, 2015;Samimi et al, 2016;Shi et al, 2016;Ma and Leung, 2007), while little research effort has been done concerning privacy and security issues in the auctions, leading to bid privacy disclosure largely. This would in turn lead to a series of severe consequences.…”
Section: The Problem Of Bid Privacy Disclosurementioning
confidence: 99%
“…Nassiri-Mofakham et al presented a new packaging model MACBID (Nassiri-Mofakham et al, 2015) in order to find the combination (and quantities) of the items and the total price which best satisfy the bidder's need. Bing et al investigated bidding strategies for automated traders that select marketplaces and submit offers across multiple double auction marketplaces (Shi et al, 2016). However, most of them considered only single-sided auctions, and the existing double auction mechanisms do not provide too much privacy guarantee.…”
Section: Related Workmentioning
confidence: 99%
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“…We assume all the agents involved (buyers and sellers) deploy scaling based strategies, and identify the Nash Equilibrium (NE) of the induced game. Researchers have used fictitious play-based convergence to equilibrium (e.g., (Shi et al 2010)) in double auctions. However, such strategies are not useful in PDAs when the agents need to place bids in real-time for new auctions.…”
Section: Introductionmentioning
confidence: 99%