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Essays On Reputation And Repeated Games


Essays On Reputation And Repeated Games
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Essays On Reputation And Repeated Games


Essays On Reputation And Repeated Games
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Author : Benjamin Leonard Sperisen
language : en
Publisher:
Release Date : 2015

Essays On Reputation And Repeated Games written by Benjamin Leonard Sperisen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.


This dissertation consists of three essays on reputation and repeated games. Reputation models typically assume players have full memory of past events, yet in many applications this assumption does not hold. In the first chapter, I explore two different relaxations of the assumption that history is perfectly observed in the context of Ely and Välimäki's (2003) mechanic game, where reputation (with full history observation) is clearly bad for all players. First I consider "limited history," where short-run players see only the most recent T periods. For large T, the full history equilibrium behavior always holds due to an "echo" effect (for high discount factors); for small T, the repeated static equilibrium exists. Second I consider "fading history," where short-run players randomly sample past periods with probabilities that "fade" toward zero for older periods. When fading is faster than a fairly lax threshold, the long-run player always acts myopically, a result that holds more generally for reputation games where the long-run player has a strictly dominant stage game action. This finding suggests that reputational incentives may be too weak to affect long-run player behavior in some realistic word-of-mouth environments. The second chapter develops general theoretical tools to study incomplete information games where players observe only finitely many recent periods. I derive a recursive characterization of the set of equilibrium payoffs, which allows analysis of both stationary and (previously unexplored) non-stationary equilibria. I also introduce "quasi-Markov perfection," an equilibrium refinement which is a necessary condition of any equilibrium that is "non-fragile" (purifiable), i.e., robust to small, additively separable and independent perturbations of payoffs. These tools are applied to two examples. The first is a product choice game with 1-period memory of the firm's actions, obtaining a complete characterization of the exact minimum and maximum purifiable equilibrium payoffs for almost all discount factors and prior beliefs on an "honest" Stackelberg commitment type, which shows that non-stationary equilibria expand the equilibrium set. The second is the same game with long memory: in all stationary and purifiable equilibria, the long-run player obtains exactly the Stackelberg payoff so long as the memory is longer than a threshold dependent on the prior. These results show that the presence of the honest type (even for arbitrarily small prior beliefs) qualitatively changes the equilibrium set for any fixed discount factor above a threshold independent of the prior, thereby not requiring extreme patience. The third chapter studies the question of why drug trafficking organizations inflict violence on each other, and why conflict breaks out under some government crackdowns and not others, in a repeated games context. Violence between Mexican drug cartels soared following the government's anti-cartel offensive starting in 2006, but not under previous crackdowns. I construct a theoretical explanation for these observations and previous empirical research. I develop a duopoly model where the firms have the capacity to make costly attacks on each other. The firms use the threat of violence to incentivize inter-cartel cooperation, and under imperfect monitoring, violence occurs on the equilibrium path of a high payoff equilibrium. When a "corrupt" government uses the threat of law enforcement as a punishment for uncooperative behavior, violence is not needed as frequently to achieve high payoffs. When government cracks down indiscriminately, the firms may return to frequent violence as a way of ensuring cooperation and high payoffs, even if the crackdown makes drug trafficking otherwise less profitable.



Reputation And Cooperation In Repeated Games


Reputation And Cooperation In Repeated Games
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Author : Joel Watson
language : en
Publisher:
Release Date : 1992

Reputation And Cooperation In Repeated Games written by Joel Watson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Game theory categories.




Essays On Dynamic Games And Reputations


Essays On Dynamic Games And Reputations
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Author : Di Pei (Ph. D.)
language : en
Publisher:
Release Date : 2018

Essays On Dynamic Games And Reputations written by Di Pei (Ph. D.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.


This thesis consists of three essays on dynamic games with incomplete information. In Chapter 1, I study reputation effects when individuals have persistent private information that matters for their opponents' payoffs. I examine a repeated game between a patient informed player and a sequence of myopic uninformed players. The informed player privately observes a persistent state, and is either a strategic type who can flexibly choose his actions or is one of the several commitment types that mechanically plays the same action in every period. Unlike the canonical models on reputation effects, the uninformed players' payoffs depend on the state. This interdependence of values introduces new challenges to reputation building, namely, the informed player could face a tradeo between establishing a reputation for commitment and signaling favorable information about the state. My results address the predictions on the informed player's payoff and behavior that apply across all Nash equilibria. When the stage game payoffs satisfy a monotone-supermodularity condition, I show that the informed long-run player can overcome the lack-of-commitment problem and secure a high payoff in every state and in every equilibrium. Under a condition on the distribution over states, he will play the same action in every period and maintain his reputation for commitment in every equilibrium. If the payoff structure is unrestricted and the probability of commitment types is small, then the informed player's return to reputation building can be low and can provide a strict incentive to abandon his reputation. In Chapter 2, I study the dynamics of an agent's reputation for competence when the labor market's information about his performance is disclosed by an intermediary who cannot commit. I show that this game admits a unique Markov Perfect Equilibrium (MPE). When the agent is patient, his effort is inverse U-shaped, while the rate of information disclosure is decreasing over time. I illustrate the inefficiencies of the unique MPE by comparing it with the equilibrium in the benchmark scenario where the market automatically observes all breakthroughs. I characterize a tractable subclass of non-Markov Equilibria and explain why allowing players to coordinate on payoff-irrelevant events can improve eciency on top of the unique MPE and the exogenous information benchmark. When the intermediary can commit, her optimal Markov disclosure policy has a deadline, after which no breakthrough will be disclosed. However, deadlines are not incentive compatible in the game without commitment, illustrating a time inconsistency problem faced by the intermediary. My model can be applied to professional service industries, such as law and consulting. My results provide an explanation to the observed wage and promotion patterns in Baker, Gibbs and Holmström (1994). In Chapter 3, I study repeated games in which a patient long-run player (e.g. a rm) wishes to win the trust of some myopic opponents (e.g. a sequence or a continuum of consumers) but has a strict incentive to betray them. Her benet from betrayal is persistent over time and is her private information. I examine the extent to which persistent private information can overcome this lack-of-commitment problem. My main result characterizes the set of payoffs a patient long-run player can attain in equilibrium. Interestingly, every type's highest equilibrium payoff only depends on her true benet from betrayal and the lowest possible benet in the support of her opponents' prior belief. When this lowest possible benet vanishes, every type can approximately attain her Stackelberg commitment payoff. My finding provides a strategic foundation for the (mixed) Stackelberg commitment types in the reputation models, both in terms of the highest attainable payoff and in terms of the commitment behaviors. Compared to the existing approaches that rely on the existence of crazy types that are either irrational or have drastically dierent preferences, there is common knowledge of rationality in my model, and moreover, players' ordinal preferences over stage game outcomes are common knowledge.



Essays On Bargaining And Repeated Games


Essays On Bargaining And Repeated Games
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Author : Alexander Wolitzky
language : en
Publisher:
Release Date : 2011

Essays On Bargaining And Repeated Games written by Alexander Wolitzky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.


The thesis consists of four essays on bargaining and repeated games. The first essay studies whether allowing players to sign binding contracts governing future play leads to reputation effects in repeated games with long-run players. Given any prior over behavioral types, a modified prior is constructed with the same total weight on behavioral types and a larger support under which almost all efficient, feasible, and individually rational payoffs are attainable in perfect Bayesian equilibrium. Thus, whether reputation effects emerge in repeated games with contracts depends on details of the prior distribution over behavioral types other than its support. The second essay studies reputational bargaining under the assumption of first-order knowledge of rationality. The share of the surplus that a player can guarantee herself is determined, as is the bargaining posture that she must announce in order to guarantee herself this much. It is shown that this maxmin share of the surplus is large relative to the player's initial reputation, and that the corresponding bargaining posture simply demands this share plus compensation for any delay in reaching agreement. The third essay studies the maximum level of cooperation that can be sustained in sequential equilibrium in repeated games with network monitoring. The foundational result is that the maximum level of cooperation can be sustained in grim trigger strategies. Comparative statics on the maximum level of cooperation are shown to be highly tractable. For the case of fixed monitoring networks, a new notion of network centrality is introduced, which characterizes which players have greater capacities for cooperation and which networks can support more cooperation. The fourth essay studies the price-setting problem of a monopoly that in each time period has the option of failing to deliver its good after receiving payment. Optimal equilibrium pricing and profits are characterized. For durable goods, a lower bound on optimal profit for any discount factor is provided. The bound converges to the optimal static monopoly profit as the discount factor converges to one, in contrast to the Coase conjecture.



Repeated Games And Reputations


Repeated Games And Reputations
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Author : George J. Mailath
language : en
Publisher: Oxford University Press
Release Date : 2006-09-28

Repeated Games And Reputations written by George J. Mailath and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-28 with Business & Economics categories.


Personalized and continuing relationships play a central role in any society. Economists have built upon the theories of repeated games and reputations to make important advances in understanding such relationships. Repeated Games and Reputations begins with a careful development of the fundamental concepts in these theories, including the notions of a repeated game, strategy, and equilibrium. Mailath and Samuelson then present the classic folk theorem and reputation results for games of perfect and imperfect public monitoring, with the benefit of the modern analytical tools of decomposability and self-generation. They also present more recent developments, including results beyond folk theorems and recent work in games of private monitoring and alternative approaches to reputations. Repeated Games and Reputations synthesizes and unifies the vast body of work in this area, bringing the reader to the research frontier. Detailed arguments and proofs are given throughout, interwoven with examples, discussions of how the theory is to be used in the study of relationships, and economic applications. The book will be useful to those doing basic research in the theory of repeated games and reputations as well as those using these tools in more applied research.



Essays On Self Referential Games


Essays On Self Referential Games
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Author : Juan Ignacio Block
language : en
Publisher:
Release Date : 2014

Essays On Self Referential Games written by Juan Ignacio Block and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Electronic dissertations categories.


This dissertation studies self-referential games in which agents can learn (perfectly and imperfectly) about an opponents' intentions from a private signal. In the first chapter, my main focus is on the interaction of two sources of information about opponents' play: direct observation of an opponent's code of conduct and indirect observation of the same opponent's play in a repeated setting. Using both sources of information I prove a folk theorem for repeated self-referential games with private monitoring. In the second chapter, I investigate the impact of self-referentiality on bad reputation games in which the long-run player must choose specific actions to make short-run players participate in the game. Since these particular actions could be interpreted as evidence of perverse behavior, the long-run agent attempts to separate himself from other types and this results in efficiency losses. When players identify intentions perfectly, I show that inefficiencies and reputational concerns due to a bad reputation disappear. In the case of imperfect observation, I find that self-referentiality and stochastic renewal of the long-run player together overcome inefficiencies because of bad reputation. In the third chapter, I address the timing of signals in self-referential games. These models typically suppose that intentions are divined in a pre-play phase; however, in many applications this may not be the case. For games with perfect information when players observe signals in advance, I show that any subgame perfect equilibria of an infinite-horizon game coincides with a Nash equilibrium of the self-referential finite-horizon approximation of the original game. Then, I focus on two specific classes of games. First, in finitely repeated games with discounting I show that a version of the folk theorem holds regardless of the time at which signals are observed. Second, I examine exit games in which players can terminate the game at any stage. In contrast to repeated games, I find that the equilibrium outcome of the self-referential exit game is unique if signals arrive after the first stage, whereas a folk theorem results only if they occur before the first stage. Finally, I explore asynchronous monitoring of intentions where players may not receive signals simultaneously. With asynchronicity, a folk theorem continues to apply for repeated games; however, for exit games there is a unique equilibrium outcome independent of signal timing, or indeed, independent of having a signal.



Essays In Credence Goods And Repeated Games


Essays In Credence Goods And Repeated Games
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Author : Kirk Bailey
language : en
Publisher:
Release Date : 2011

Essays In Credence Goods And Repeated Games written by Kirk Bailey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Economics categories.




Collusion Reputation And Communication Three Essays In Economic Theory


Collusion Reputation And Communication Three Essays In Economic Theory
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Author : Alfredo Marcos Kofman
language : en
Publisher:
Release Date : 1990

Collusion Reputation And Communication Three Essays In Economic Theory written by Alfredo Marcos Kofman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.




Essays On Economic Psychology


Essays On Economic Psychology
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Author : Hermann Brandstätter
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Essays On Economic Psychology written by Hermann Brandstätter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Psychology categories.


Economic behavior is explored from a psychological perspective by both, prominent economic psychologists with a long tradition in studying economic problems as well as economists who are open and interested in the psychological aspects of economic behavior. The contributions discuss the prospects and difficulties of this dialogue between psychology and economics and survey some important areas of research where such an interdisciplinary approach has proved to be successful. The text can also be used to introduce psychology to economists in order to give them an idea how to analyze economic problems from a psychological perspective. It also indicates many urgent and exciting research topics awaiting eager scholars to carry on the dialogue.



Reputations In Repeated Games


Reputations In Repeated Games
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Author : George J. Mailath
language : en
Publisher:
Release Date : 2013

Reputations In Repeated Games written by George J. Mailath and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.


This paper, prepared for the Handbook of Game Theory, Volume 4 (Peyton Young and Shmuel Zamir, editors, Elsevier Press), surveys work on reputations in repeated games of incomplete information.