A Model of Competitive Signaling

32 Pages Posted: 28 Feb 2012

See all articles by Tomás Rodríguez Barraquer

Tomás Rodríguez Barraquer

Universidad de los Andes

Xu Tan

University of Washington - Economics

Date Written: February 28, 2012

Abstract

Multiple candidates (senders) compete over an exogenous number of jobs. There are different tasks in which the candidates' unobservable ability determines their probability of success. We study a signaling game with multiple senders each choosing one task to perform, and one receiver who observes all task choices and performances (success or failure) and matches the senders to jobs. In order to analyze the effects of different levels of competition we consider two refinements of the concept of sequential equilibrium: (i) sequential equilibria that survive when varying the number of senders; (ii) sequential equilibria that are supported by out-of-the-equilibrium-path beliefs satisfying a monotonicity condition (implied by Banks and Sobel's divinity refinement). We show that the set of sequential equilibria includes simple pooling equilibria where all senders choose the same task, and these simple pooling equilibria are the only type of sequential equilibria that satisfies (i). The unique sequential equilibrium under both (i) and (ii) is a simple pooling equilibrium with every sender choosing the most informative task. If senders have a lower overall likelihood of success in more informative tasks, this unraveling towards conspicuousness is inefficient.

Keywords: asymmetric information, signaling, equilibrium selection, economic sociology, economics of science

JEL Classification: D02, D82, Z13, M51

Suggested Citation

Rodríguez Barraquer, Tomás and Tan, Xu, A Model of Competitive Signaling (February 28, 2012). Available at SSRN: https://ssrn.com/abstract=2012303 or http://dx.doi.org/10.2139/ssrn.2012303

Tomás Rodríguez Barraquer (Contact Author)

Universidad de los Andes ( email )

Carrera 1a No. 18A-10
Santafe de Bogota, AA4976
Colombia

Xu Tan

University of Washington - Economics ( email )

Seattle, WA
United States

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