ESRC Grant Project

Theoretical Foundations and Design of Persuasion Mechanisms 

Research Team: 
    Andy Zapechelnyuk (University of St Andrews)
    Hisayuki Yoshimoto (University of Glasgow)
    Anton Kolotilin (UNSW Australia)

Working Papers

 Delegation approach to monotone persuasion (with Anton Kolotilin)

We study a monotone persuasion problem. This is a problem of Bayesian persuasion between a principal and an agent, in which the principal's choice of information disclosure is restricted to monotone partitions. We show that this problem is equivalent to a constrained delegation problem, with the implication that solving one problem also means solving the other. We use this equivalence to apply known techniques in the delegation literature to address the monotone persuasion problem.

 Robust sequential search (with Karl Schlag)

A searcher explores alternatives sequentially and is unaware of the distribution of values of unexplored alternatives. We are interested in decision rules that perform close to Bayesian optimal ones under any prior, at each point of time, and after each history of observations. We call such rules dynamically robust. Standard rules used in the search literature are based on cutoff strategies and are not dynamically robust. We uncover general principles that make this rich setting tractable. We derive a dynamically robust decision rule, which involves randomized behavior and can be approximated by a rule with a linear stopping probability.

 Value of information when searching for a secretary (with Karl Schlag)

The secretary problem is the canonical model of search under ambiguity, in which secretaries are being interviewed in a random order. We assume that the number of secretaries is unknown and that one cares for the value of the secretary. We measure the value of information as a multiplier that describes how much better off one could have been had one known the distribution of secretaries' values. It is evaluated in the worst case, for all distributions and at all rounds of search. Under perfect recall, knowledge of the applicant pool size and their distribution can improve one's payoff at most 4 times. Knowledge that the values are i.i.d. does not improve one's payoff.

 Job search costs and incentives (with Ro'i Zultan)

In labor markets with long-term wage contracts and moral hazard, policies aimed at reducing frictional unemployment such as unemployment benefits with eligibility constraints may lead to opposite results. A reduction in job search costs reduces the expected cost of losing one's job, and consequently leads to fewer employees willing to exert effort. With overall lower productivity, more individuals and firms opt to stay out of the labor market, resulting in lower employment and decreased welfare. Eventually, a reduction of jobs search costs below a certain level results in collapse of the labor market.

Competing e-commerce intermediaries (with Alexander Matros)

We consider a model where two e-commerce platforms, such as internet auctions, compete for sellers who are heterogeneous in their time preferences. Contrary to the literature which argues that if two platforms coexist in equilibrium, then the “law of one price” must hold, we demonstrate that two platforms may set different prices and have positive equilibrium profits by exploiting heterogeneity of sellers' time preferences. In such an equilibrium less patient sellers choose the more popular, but more expensive, platform, while more patient sellers prefer the less popular and cheaper one.

Publications

Econometrica 85 (2017), 1949-1964 [doi]

[superseding earlier versions titled Optimality of non-competitive allocation rules" and  "Value of competition in allocation and search problems"]
American Economic Review 107 (2017), 2666-2694 [doi] 

‣ Dynamic benchmark targeting (with Karl Schlag
[superseding an earlier version titled “Decision making in environments without priors”]
Journal of Economic Theory 169 (2017), 145-169 [doi] 

Economics Letters 132 (2015), 24-27 [doi] 

 Eliciting information from a committee
Journal of Economic Theory 148 (2013), 2049-2067 [doi]

‣ Optimal arbitration (with Tymofiy Mylovanov)
International Economic Review 54 (2013), 769-785 [doi]

‣ No-regret dynamics and fictitious play (with Yannick Viossat)
Journal of Economic Theory 148 (2013), 825-842 [doi]

‣ Decision rules revealing commonly known events (with Tymofiy Mylovanov)
Economics Letters 119 (2013), 8-10 [doi]

‣ On the impossibility of achieving no regrets in repeated games (with Karl Schlag),
Journal of Economic Behavior and Organization 81 (2012), 153-158 [doi]

‣ Optimal mechanisms for an auction mediator (with Alexander Matros)
International Journal of Industrial Organization 29 (2011), 426-431 [doi]

‣ Bargaining with a property rights owner (with Yair Tauman)
Games and Economic Behavior 70 (2010), 132-145 [doi]

‣ On (non-) monotonicity of cooperative solutions (with Yair Tauman)
International Journal of Game Theory 39 (2010), 171-175 [doi]

‣ Better-reply dynamics with bounded recall
Mathematics of Operations Research 33 (2008), 869-879 [doi]

‣ Optimal fees in internet auctions (with Alexander Matros)
Review of Economic Design 12 (2008), 155-163 [doi]

‣ Strategic complements and substitutes, and potential games (with Pradeep Dubey and Ori Haimanko)
Games and Economic Behavior 54 (2006), 77-94 [doi]