All-pay auctions with private signals about opponents’ values

Author(s):  
Zhuoqiong Chen
Keyword(s):  
2019 ◽  
Vol 11 (4) ◽  
pp. 151-185 ◽  
Author(s):  
Ina Taneva

A designer commits to a signal distribution that is informative about a payoff-relevant state. Conditional upon the privately observed signals, agents take actions that affect their payoffs as well as those of the designer. We show how to derive the (designer) optimal information structure in static finite environments. We fully characterize it in a symmetric binary setting for a parameterized game. In this environment, conditionally independent private signals are never strictly optimal. (JEL C72, D78, D82, D83)


2020 ◽  
Vol 110 (3) ◽  
pp. 776-796
Author(s):  
Anna Sanktjohanser

I consider a repeated game in which, due to imperfect monitoring, no collusion can be sustained. I add a self-interested monitor who commits to obtain private signals of firms’ actions and sends a public message. The monitor makes an offer specifying the precision of the signals obtained and the amount to be paid in return. First, with a low monitoring cost, collusive equilibria exist. Second, collusive equilibria are monitor-preferred. Third, in monitor-preferred equilibria, firms’ payoffs are decreasing in the discount factor. My model helps explain cartel agreements between self-interested parties and firms in legal industries in the United States and Europe. (JEL C73, D43, D82, L12)


2020 ◽  
Author(s):  
Michele Berardi

Abstract Can prices convey information about the fundamental value of an asset? This paper considers this problem in relation to the dynamic properties of the fundamental (whether it is constant or time-varying) and the structure of information available to agents. Risk-averse traders receive two potential signals each period: one exogenous and private and the other, prices, endogenous and public. Prices aggregate private information but include aggregate noise. Information can accumulate over time both through endogenous and exogenous signals. With a constant fundamental, the precision of both private and public cumulative information increases over time but agents put progressively more weight on the endogenous signals, asymptotically disregarding private ones. If the fundamental is time-varying, the use of past private signals complicates the role of prices as a source of information, since it introduces endogenous serial correlation in the price signal and cross-correlation between it and innovations in the fundamental. A modified version of the Kalman filter can still be used to extract information from prices and results show that the precision of the endogenous signals converges to a constant, with both private and public information used at all times.


2006 ◽  
Vol 96 (5) ◽  
pp. 1769-1787 ◽  
Author(s):  
Christian Hellwig ◽  
Arijit Mukherji ◽  
Aleh Tsyvinski

We develop a model of currency crises, in which traders are heterogeneously informed, and interest rates are endogenously determined in a noisy rational expectations equilibrium. In our model, multiple equilibria result from distinct roles an interest rate plays in determining domestic asset market allocations and the devaluation outcome. Except for special cases, this finding is not affected by the introduction of noisy private signals. We conclude that the global games results on equilibrium uniqueness do not apply to market-based models of currency crises.


2013 ◽  
Vol 128 (2) ◽  
pp. 917-966 ◽  
Author(s):  
Adam Kalai ◽  
Ehud Kalai

Abstract For two-person complete-information strategic games with transferable utility, all major variable-threat bargaining and arbitration solutions coincide. This confluence of solutions by luminaries such as Nash, Harsanyi, Raiffa, and Selten, is more than mere coincidence. Staying in the class of two-person games with transferable unility, the article presents a more complete theory that expands their solution. Specifically, it presents: (1) a decomposition of a game into cooperative and competitive components, (2) an intuitive and computable closed-form formula for the solution, (3) an axiomatic justification of the solution, and (4) a generalization of the solution to games with private signals, along with an arbitration scheme that implements it. The objective is to restart research on cooperative solutions to strategic games and their applications.


2016 ◽  
Vol 131 (4) ◽  
pp. 1849-1874 ◽  
Author(s):  
Robert Akerlof ◽  
Richard Holden

Abstract Most projects, in most walks of life, require the participation of multiple parties. While it is difficult to unite individuals in a common endeavor, some people, who we call “movers and shakers,” seem able to do it. The article specifically examines moving and shaking of an investment project, whose return depends on its quality and the total capital invested in it. We analyze a model with two types of agents: managers and investors. Managers and investors initially form social connections. Managers then bid to buy control of the project, and the winning bidder puts effort into making investors aware of it. Finally, a subset of aware investors are given the chance to invest and they decide whether to do so after receiving private signals of the project’s quality. We first show that connections are valuable since they make it easier for a manager to “move and shake” the project (i.e., obtain capital from investors). When we endogenize the network, we find that while managers are identical ex ante, a single manager emerges as most connected; he consequently earns a rent. In extensions, we move away from the assumption of ex ante identical managers to highlight forces that lead one manager or another to become a mover and shaker. Our theory sheds light on a range of topics, including entrepreneurship, venture capital, and anchor investments.


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