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Stochastic Stability In A Double Auction

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  • Agastya, Murali

Abstract

In a k-double auction, a buyer and a seller must simultaneously announce a bid and an ask price respectively. Exchange of the indivisible good takes place if and only if the bid is at least as high as the ask, the trading price being the bid price with probability k and the ask price with probability (1 - k). We show that the stable equilibria of a complete information k-double approximate an asymmetric Nash Bargaining solution with the seller's bargaining power decreasing in k. Note that ceteras paribus, the payoffs of the seller of the one-shot game increase in k. Nevertheless, as the stochastically stable equilibrium price decreases in k, choosing the seller's favourite price with a relatively higher probability in individual encounters makes him worse off in the long run.

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  • Agastya, Murali, 2003. "Stochastic Stability In A Double Auction," Working Papers 5, University of Sydney, School of Economics.
    • Handle: RePEc:syd:wpaper:2123/7652
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    2. Rene Saran & Roberto Serrano, 2007. "The Evolution of Bidding Behavior in Private-Values Auctions and Double Auctions," Working Papers wp2007_0712, CEMFI.
    3. Kevin Hasker, 2014. "The Emergent Seed: A Representation Theorem for Models of Stochastic Evolution and two formulas for Waiting Time," Levine's Working Paper Archive 786969000000000954, David K. Levine.
    4. BOCHET, Olivier & KLAUS, Bettina & WALZL, Markus, 2007. "Dynamic recontracting processes with multiple indivisible goods," LIDAM Discussion Papers CORE 2007061, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Binmore, Ken & Samuelson, Larry & Young, Peyton, 2003. "Equilibrium selection in bargaining models," Games and Economic Behavior, Elsevier, vol. 45(2), pages 296-328, November.
    6. Coninx, Kristof & Deconinck, Geert & Holvoet, Tom, 2018. "Who gets my flex? An evolutionary game theory analysis of flexibility market dynamics," Applied Energy, Elsevier, vol. 218(C), pages 104-113.
    7. Sawa, Ryoji, 2021. "A prospect theory Nash bargaining solution and its stochastic stability," Journal of Economic Behavior & Organization, Elsevier, vol. 184(C), pages 692-711.

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