The Shadow Bankruptcy System
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Fairness in Bankruptcy Situations: an Experimental Study
Fairness in bankruptcy situations: an experimental study Alexander W. Cappelen Roland I. Luttens Erik Ø. Sørensen Bertil Tungodden∗ August 11, 2015 Abstract The pari passu principle is the most prominent principle in the law of in- solvency. We report from a lab experiment designed to study whether people find this principle a fair solution to the bankruptcy problem. The experi- mental design generates situations where participants work and accumulate claims in firms, some of which subsequently go bankrupt. Third-party arbi- trators are randomly assigned to determine how the liquidation value of the bankrupt firms should be distributed between claimants. Our main finding is that there is a striking support for the pari passu principle of awarding claimants proportionally to their pre-insolvency claims. We estimate a ran- dom utility model that allows for the arbitrators to differ in what they consider a fair solution to the bankruptcy problem and find that about 85 percent of the participants endorse the proportional rule. We also find that a non-negligible fraction of the arbitrators follow the constrained equal losses rule, while there is almost no support in our experiment for the constrained equal awards rule or other fairness rules suggested in the normative literature. Finally, we show that the estimated random utility model nicely captures the observed arbi- trator behavior, in terms of both the overall distribution of awards and the relationship between awards and claims. 1 Introduction Bankruptcy law is concerned with situations where a debtor is unable to pay its debts and it constitutes an essential element in any well-functioning market econ- omy (Hotchkiss, John, Moordadian, and Thorburn, 2008). -
Spider Woman
a reporter at lARgE spider woman Hunting venomous species in the basements of Los Angeles. bY buRKHARd BilgER arly one morning last year, when the of the brown recluse, but larger and lady! Spider lady! Come to the front!” streets of downtown Los Angeles more venomous. Sometime in the late Torres was standing by the cash register, wereE still mostly deserted, a strange figure nineteen-sixties, apparently, their ances- her hands on her hips. She made Binford appeared in the Goodwill store at 235 tors had ridden to California in costume scrawl out a waiver on a legal pad, then led South Broadway, next door to the Gua- crates owned by a troupe of Shakespear- her down a long, dingy hallway to the dalupe Wedding Chapel. She had on ten- ean actors from Brazil. A year or two basement door. “It’s your own risk,” she nis shoes, dungarees, and a faded blue later, they were discovered at a theatre said, pointing down the stairwell. “If I T-shirt, and was outfitted as if for a safari in the L.A. suburb of Sierra Madre don’t hear from you in two days, I call the or a spelunking expedition. A khaki vest and promptly triggered a citywide panic. authorities.” was stuffed with empty plastic vials; a “50 DeadlY SpideRS FOUND,” a front- black duffelbag across her shoulders held page headline in the Los Angeles Times piders have a bad reputation, largely a pair of high-tech headlamps, a digital announced on June 7, 1969. “VENom undeserved. The great majority aren’t camera, and a venom extractor. -
Bargaining in the Shadow of the Trial?
Bargaining in the Shadow of the Trial? Daniel D. Bonneau West Virginia University Bryan C. McCannon West Virginia University 09 March 2019∗ Abstract Plea bargaining is the cornerstone of the U.S. criminal justice system and the bargaining in the shadow of the trial framework, where the plea reached is driven primarily by the expected sentence arising from a trial, is the convention for applied economists. Criminologists and legal scholars challenge this framework. There has not been a test of the validity of the conceptual framework. We do so. We use a large data set of felony cases in Florida to estimate the plea discount received. Our identification strategy is to consider deaths of law enforcement officials, which we argue is a newsworthy tragic event affecting a local community and making violent crime salient to the citizens who make up the potential jury pool. Those cases, unrelated to the death, but already in process at the time and in the same location as the death, acts as our treated observations who experience an exogenous shock to their probability of conviction. We show that these individuals plea guilty to substantially longer sentences. This effect is especially strong for deaths of law enforcement officials who die via gunfire and are stronger when there is more internet search behavior out of local population. The reduction in the plea discount occurs across numerous serious crimes, but is essentially zero for less-serious crimes. Theory does not predict, though, what will happen to the trial rate since tougher offers from the prosecutor should lead to more trials, but the heightened conviction probability should encourage negotiation. -
Basis Utility and Proportionality in Games1
Lost in Translation: Basis Utility and Proportionality in Games1 Barry Feldman Prism Analytics Kellstadt School of Business 53 West Jackson Blvd. #724 DePaul University Chicago, IL 60604 1 East Jackson Blvd. #6100 [email protected] Chicago, IL 60604 [email protected] July 18, 2005 abstract A player's basis utility is the utility of no payo®. Basis utility is neces- sary for the coherent representation of the equal split bargaining solution. Standard axioms for the Nash (1950) bargaining solution do not imply independence from basis utility. Proportional bargaining is the unique solution satisfying e±ciency, symmetry, a±ne transformation invariance and monotonicity in pure bargaining games with basis utility. All existing cooperative solutions become translation invariant once account is taken of basis utility. The noncooperative rationality of these results is demon- strated though an implementation of proportional bargaining based on Gul (1988). Quantal response equilibria with multiplicative error struc- tures (Goeree, Holt and Palfrey (2004)) become translation invariant with speci¯cation of basis utility. Equal split and proportional bargaining join the Kalai-Smorodinsky (1975) solution in a family of endogenously pro- portional monotonic pure bargaining solutions. JEL Classi¯cation: C70, C71, C72, C78. Keywords: Basis utility, equal split, Kalai-Smorodinsky solution, Nash bargaining, quantal response equi- libria, proportional bargaining, translation invariance. 1I am grateful to Peter Borm, Srihari Govindan, Chris O'Neill and Alvin E. Roth for discussions of topics related to this paper. Thanks also for comments to Oliver Gossner, Elena I~narraand other participants at the 2005 Stony Brook Game Theory Conference. °c 2005 by Barry Feldman. 1 Introduction There is no representation of basis utility in games. -
Ame Theoretic Analysis of a Bankruptcy Proble from the Talmud*
JOURNAL OF ECONOMIC THEORY 36, 195-213 (1985) ame Theoretic Analysis of a bankruptcy Proble from the Talmud* ROBERT J. AUMANN AND MICHAEL MASCHLER The Hebrew Universify, 91904 Jerusalem, Israel Received August 27, 1984; revised February 4, 1985 DEDICATED TO THE MEMORYOF SHLOMOAUMANN, TALMUDIC SCHOLARAND MAN OF THE WORLD, KILLED IN ACTION NEAR KHUSH-E-DNEIBA, LEBANON, ON THE EVE OF THE NINETEENTHOF SWAN, 5742 (JUNE 9, 1982). For three different bankruptcy problems, the 2000-year oid Babylonian Talmud prescribes solutions that equal precisely the nucleoli of the corresponding coalitional games. A rationale for these solutions that is independent of game theory is given in terms of the Talmudic principle of equai division of the contested amount: this rationale leads to a unique solution for all bankruptcy problems, which always coincides with the nucleolus. Two other rationales for the same rule are suggested. in terms of other Talmudic principles. (Needless to say, the rule in question is not proportional division). Jomd cf Economic Literature C’lussification Numbers: 022, 026, 031, 043, 213. ‘?: 1985 Academic Press. Inc. 1. 1N~RoDucTroN A man dies, leaving debts d, ,..., d,, totalling more than his estate E. should the estate be divided among the creditors? A frequent solution in modern law is proportional division. The rationale is that each dollar of debt should be treated in the same way; one looks at dollars rather than people. Yet it is by no means obvious that this is the only equitable or reasonable system. For example, if the estate does not exceed the smallest debt, equal division among the creditors makes good sense. -
An Approach to N-Person Cooperative Games
Undergraduate Thesis MAJOR IN MATHEMATICS Faculty of Mathematics University of Barcelona AN APPROACH TO N-PERSON COOPERATIVE GAMES Eric` L´opez Ramiro [email protected] Advisor: Dr. Josep Vives Dept. of Probability, Logic and Statistics Barcelona, January 18, 2016 This page intentionally left blank. Abstract This work is an overview on n-person cooperative games in Game Theory, the mathemat- ical theory of interactive decision situations characterized by a group of agents, each of whom has to make a decision based on their own preferences on the set of outcomes. These situations are called games, agents are players and decisions are strategies. By focusing on Cooperative Game Theory, we analyze concepts such as coalition formation, equilibrium, stability, fairness and the most important proposed solution concepts. Keywords: Cooperative Game Theory, Cooperative game, Shapley value, nucleolus, core, bankruptcy problem, airport problem, indices of power, voting games. Resum Aquest treball tracta sobre els jocs n-personals cooperatius en Teoria de Jocs, la branca de les matem`atiquesque estudia i analitza les interaccions entre una s`erie d'agents que han de prendre una decisi´o,segons les seves prefer`enciessobre el conjunt de possibles resultats dels jocs. En centrar-nos en la Teoria de Jocs Cooperatius, analitzarem conceptes com la formaci´ode coalicions, l'equilibri, la just´ıciai les propostes de conceptes de solucions m´es importants. i Acknowledgements For his continuous help and patient guidance throughout the development of this thesis, I would like to express my deep gratitude, first of all, to my advisor, Dr. Josep Vives. Without his encouragement, persistent advice and useful corrections, this would not have been possible. -
What Is Game Theory Trying to Accomplish?
1 What Is Game Theory Trying to Accomplish? 1 Introduction The language of game theory—coalitions, payo¤s, markets, votes— suggests that it is not a branch of abstract mathematics; that it is moti- vated by and related to the world around us; and that it should be able to tell us something about that world. Most of us have long realized that game theory and the ‘‘real world’’ (it might better be called the complex world) have a relationship that is not entirely comfortable; that it is not clear just what it is that we are trying to do when we build a game- theoretic model and then apply solution concepts to it. This is the subject I would like to explore in this paper. I might add that much the same questions apply to economic theory, at least the kind that those of us working in mathematical economics see most often; and that much of my paper will apply, mutatis mutandis, to economic theory as well. There is a branch of philosophy that deals with theory in the social sciences, so some of the things I have to say are unquestionably old hat. But I am not trying to be particularly original: I am only trying to open this topic, which I think concerns all of us, for discussion, and to suggest a particu- lar point of view. No doubt others have thought about these questions more thoroughly and deeply than I have, and are better versed in the history and philosophy of science in general. I will be grateful to anybody who sets me straight when I err, and who gives me references for the things I get right. -
Axiomatic and Game-Theoretic Analysis of Bankruptcy And
Axiomatic and GameTheoretic Analysis of Bankruptcy and Taxation Problems a Survey William Thomson This version August I am grateful to Bettina Klaus Eiichi Miyagawa Juan MorenoTernero Anne van den Nouweland James Schummer Oscar Volij and esp ecially Nir Dagan and ChunHsien Yeh for their very useful comments I also thank a referee for detailed comments and the NSF for its supp ort under grant SES and SBR Abstract When a rm go es bankrupt how should its liquidation value be divided among its creditors This essayisanintro duction to the lit erature devoted to the formal analysis of such problems We present the rules that are commonly used in practice or discussed in theoret ical work We show howmany can be obtained by applying solution concepts develop ed in co op erative game theory for bargaining games and for coalitional games We formulate prop erties of rules rst when the p opulation of agents is xed then when it may vary com pare the rules on the basis of these prop erties and search for rules satisfying the greatest number of the prop erties together We mo del the resolution of conicting claims as strategic games and extend the mo del to handle surplus sharing and situations in which the feasible set is sp ecied in utilityspace Identifying wellb ehaved taxation rules is formally identical to identifying rules to reconcile conicting claims and all of the results we present can b e reinterpreted in that context Keywords Axiomatic analysis Bankruptcy Claims problems Prop ortional rule Talmud rule Constrained equal awards rule Con -
Sequential Sharing Rules for River Sharing Problems
NOTA DI LAVORO 114.2009 Sequential Sharing Rules for River Sharing Problems By Erik Ansink and Hans-Peter Weikard, Department of Social Sciences, Wageningen University SUSTAINABLE DEVELOPMENT Series Editor: Carlo Carraro Sequential Sharing Rules for River Sharing Problems By Erik Ansink and Hans-Peter Weikard, Department of Social Sciences, Wageningen University Summary We analyse the redistribution of a resource among agents who have claims to the resource and who are ordered linearly. A well known example of this particular situation is the river sharing problem. We exploit the linear order of agents to transform the river sharing problem to a sequence of two-agent river sharing problems. These reduced problems are mathematically equivalent to bankruptcy problems and can therefore be solved using any bankruptcy rule. Our proposed class of solutions, that we call sequential sharing rules, solves the river sharing problem. Our approach extends the bankruptcy literature to settings with a sequential structure of both the agents and the resource to be shared. In the paper, we first characterise a class of sequential sharing rules. Subsequently, we apply sequential sharing rules based on four classical bankruptcy rules, assess their properties, and compare them to four alternative solutions to the river sharing problem. Keywords: River Sharing Problem, Sequential Sharing Rule, Bankruptcy Problem, Water Allocation JEL Classification: D63, D71, Q25 We thank Carmen Marchiori, Arjan Ruijs, and Ivan Soraperra for providing comments on earlier versions of this paper. Part of this research was done while the first author was visiting the Department of Economics at Queen Mary, University of London. Address for correspondence: Erik Ansink Department of Social Sciences Wageningen University P.O. -
What the Shadows Know 99
What the Shadows Know 99 What the Shadows Know: The Crime- Fighting Hero the Shadow and His Haunting of Late-1950s Literature Erik Mortenson During the Depression era of the 1930s and the war years of the 1940s, mil- lions of Americans sought escape from the tumultuous times in pulp magazines, comic books, and radio programs. In the face of mob violence, joblessness, war, and social upheaval, masked crusaders provided a much needed source of secu- rity where good triumphed over evil and wrongs were made right. Heroes such as Doc Savage, the Flash, Wonder Woman, Green Lantern, Captain America, and Superman were always there to save the day, making the world seem fair and in order. This imaginative world not only was an escape from less cheery realities but also ended up providing nostalgic memories of childhood for many writers of the early Cold War years. But not all crime fighters presented such an optimistic outlook. The Shad- ow, who began life in a 1931 pulp magazine but eventually crossed over into radio, was an ambiguous sort of crime fighter. Called “the Shadow” because he moved undetected in these dark spaces, his name provided a hint to his divided character. Although he clearly defended the interests of the average citizen, the Shadow also satisfied the demand for a vigilante justice. His diabolical laughter is perhaps the best sign of his ambiguity. One assumes that it is directed at his adversaries, but its vengeful and spiteful nature strikes fear into victims, as well as victimizers. He was a tour guide to the underworld, providing his fans with a taste of the shady, clandestine lives of the criminals he pursued. -
A Non-Cooperative Approach to Bankruptcy Problems∗
A Non-cooperative Approach to Bankruptcy Problems∗ Ignacio Garc´ıa-Jurado IDEGA & Department of Statistics and OR University of Santiago de Compostela Julio Gonz´alez-D´ıaz† Antonio Villar Department of Statistics and OR University of Alicante & Ivie University of Santiago de Compostela Abstract We propose an elementary game form that allows to obtain the allocations proposed by any acceptable bankruptcy rule as the unique payoff vector of the corresponding Nash equilibria. JEL Classification: D63, C72. Key words: bankruptcy, non-cooperative games, Nash equilibrium, strong equilibrium. 1 Introduction A bankruptcy problem describes a case in which a planner has to allocate a given amount of a divisible good E among a set N of agents, when their claims (di)i∈N exceed the available P amount (that is, i∈N di > E). Most rationing situations can be given this form. Relevant examples are the execution of a will with insufficient assets, the allocation of a commodity with excess demand in a fixed price setting, the collection of a given amount of taxes, and, of course, the liquidation of a bankrupt firm among its creditors. Rationing problems encompass a wide range of distributive situations and are analytically very simple (indeed, a bankruptcy problem can be summarized by a triple (N, E, d)). The literature on bankruptcy problems is large and keeps growing. The main con- tributions refer to the analysis of different solutions following an axiomatic approach or ∗Financial support from the Ministerio de Ciencia y Tecnolog´ıa and FEDER, under projects BEC2001- 0535 and BEC2002-04102-C02-02, from the Generalitat Valenciana, under project CTIDIB/2002/314, and from the Xunta de Galicia, under project PGIDT03PXIC20701PN, is gratefully acknowledged. -
Fair Resource Allocation in Systems with Complete Information Sharing Francesca Fossati, Sahar Hoteit, Stefano Moretti, Stefano Secci
Fair Resource Allocation in Systems with Complete Information Sharing Francesca Fossati, Sahar Hoteit, Stefano Moretti, Stefano Secci To cite this version: Francesca Fossati, Sahar Hoteit, Stefano Moretti, Stefano Secci. Fair Resource Allocation in Systems with Complete Information Sharing. IEEE/ACM Transactions on Networking, IEEE/ACM, 2018, 26 (6), pp.2801-2814. 10.1109/TNET.2018.2878644. hal-01910226 HAL Id: hal-01910226 https://hal.archives-ouvertes.fr/hal-01910226 Submitted on 31 Oct 2018 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. 1 Fair Resource Allocation in Systems with Complete Information Sharing Francesca Fossati, Sahar Hoteit, Member, IEEE, Stefano Moretti, Stefano Secci, Senior, IEEE Abstract—In networking and computing, resource allocation is typically addressed using classical resource allocation protocols as the proportional rule, the max-min fair allocation, or solutions inspired by cooperative game theory. In this paper, we argue that, under awareness about the available resource and other users demands, a cooperative setting has to be considered in order to revisit and adapt the concept of fairness. Such a complete information sharing setting is expected to happen in 5G environments, where resource sharing among tenants (slices) needs to be made acceptable by users and applications, which therefore need to be better informed about the system status via ad-hoc (northbound) interfaces than in legacy environments.