We study the war of attrition between two players when the players’ signals are binary and affiliated. Our model covers both the case of common values and affiliated private values. We characterize the unique symmetric equilibrium and demonstrate the possibility of nonmonotonic symmetric equilibria, i.e. equilibria where the player with a lower signal wins With positive probability. Such an outcome is inefficient in the case of private valuations. We compare the war of attrition to other related mechanisms, the all-pay auction and standard firstand second-price auctions. The war of attrition dissipates the bidders’ rents more effectively but at the same time distorts the allocation more severely than the other mechanisms. In terms of expected revenues, the war of attrition dominates the standard auctions, but the ranking against the all-pay auction is ambiguous.
{"title":"War of Attrition with Affiliated Values","authors":"C. Chi, P. Murto, Juuso Valimaki","doi":"10.2139/ssrn.3036996","DOIUrl":"https://doi.org/10.2139/ssrn.3036996","url":null,"abstract":"We study the war of attrition between two players when the players’ signals are binary and affiliated. Our model covers both the case of common values and affiliated private values. We characterize the unique symmetric equilibrium and demonstrate the possibility of nonmonotonic symmetric equilibria, i.e. equilibria where the player with a lower signal wins With positive probability. Such an outcome is inefficient in the case of private valuations. We compare the war of attrition to other related mechanisms, the all-pay auction and standard firstand second-price auctions. The war of attrition dissipates the bidders’ rents more effectively but at the same time distorts the allocation more severely than the other mechanisms. In terms of expected revenues, the war of attrition dominates the standard auctions, but the ranking against the all-pay auction is ambiguous.","PeriodicalId":373527,"journal":{"name":"PSN: Game Theory (Topic)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122608354","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study strategic interaction between agents who distill the complex world around them into simpler situations. Assuming agents share the same cognitive frame, we show how the frame affects equilibrium outcomes. In one-shot and repeated interactions, the frame causes agents to be either better or worse off than if they could perceive the environment in full detail: it creates a fog of cooperation or a fog of conflict. In repeated interaction, the frame is as important as agentsO patience in determining the set of equilibria: for a fixed discount factor, when all agents coordinate on what they perceive as the best equilibrium, there remain significant performance differences across dyads with different frames. Finally, we analyze some tensions between incremental versus radical changes in the cognitive frame.
{"title":"What Situation Is This? Coarse Cognition and Behavior Over a Space of Games","authors":"R. Gibbons, M. LiCalzi, M. Warglien","doi":"10.2139/ssrn.3034826","DOIUrl":"https://doi.org/10.2139/ssrn.3034826","url":null,"abstract":"We study strategic interaction between agents who distill the complex world around them into simpler situations. Assuming agents share the same cognitive frame, we show how the frame affects equilibrium outcomes. In one-shot and repeated interactions, the frame causes agents to be either better or worse off than if they could perceive the environment in full detail: it creates a fog of cooperation or a fog of conflict. In repeated interaction, the frame is as important as agentsO patience in determining the set of equilibria: for a fixed discount factor, when all agents coordinate on what they perceive as the best equilibrium, there remain significant performance differences across dyads with different frames. Finally, we analyze some tensions between incremental versus radical changes in the cognitive frame.","PeriodicalId":373527,"journal":{"name":"PSN: Game Theory (Topic)","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128505522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Technological innovations facilitating e-commerce have well-documented effects on consumer behavior and firm organization in the retail sector, but the effects of these new transaction technologies on fiscal systems remain unknown. By extending models of commodity tax competition to include urban spatial structure (agglomeration) and online commerce, one can analyze strategic tax-policy interactions among neighboring localities. Consumers buy different types of commodities, sold either by traditional or by online vendors. When the cost of online shopping falls, we show that equilibrium tax rates and revenues increase in small jurisdictions and decrease in large jurisdictions with retail shopping centers. Policy commentators warn that e-commerce erodes tax revenue - true enough for some localities - but, more accurately, changing transaction costs can generate entirely new commercial and fiscal equilibria that ultimately “redistribute” tax revenues from localities with concentrations of traditional vendors toward other, typically smaller, localities.
{"title":"Sales Taxation, Spatial Agglomeration, and the Internet","authors":"David R. Agrawal, D. Wildasin","doi":"10.2139/ssrn.3009785","DOIUrl":"https://doi.org/10.2139/ssrn.3009785","url":null,"abstract":"Technological innovations facilitating e-commerce have well-documented effects on consumer behavior and firm organization in the retail sector, but the effects of these new transaction technologies on fiscal systems remain unknown. By extending models of commodity tax competition to include urban spatial structure (agglomeration) and online commerce, one can analyze strategic tax-policy interactions among neighboring localities. Consumers buy different types of commodities, sold either by traditional or by online vendors. When the cost of online shopping falls, we show that equilibrium tax rates and revenues increase in small jurisdictions and decrease in large jurisdictions with retail shopping centers. Policy commentators warn that e-commerce erodes tax revenue - true enough for some localities - but, more accurately, changing transaction costs can generate entirely new commercial and fiscal equilibria that ultimately “redistribute” tax revenues from localities with concentrations of traditional vendors toward other, typically smaller, localities.","PeriodicalId":373527,"journal":{"name":"PSN: Game Theory (Topic)","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125493032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Agency may be exercised by different entities (e.g., individuals, firms, households). A given individual can form part of multiple agents (e.g., he may belong to a firm and a household). The set of agents that act in a given situation might not be common knowledge. We adapt the standard model of incomplete information to model such situations.
{"title":"Agency Equilibrium","authors":"Jonathan Newton","doi":"10.2139/ssrn.3035248","DOIUrl":"https://doi.org/10.2139/ssrn.3035248","url":null,"abstract":"Agency may be exercised by different entities (e.g., individuals, firms, households). A given individual can form part of multiple agents (e.g., he may belong to a firm and a household). The set of agents that act in a given situation might not be common knowledge. We adapt the standard model of incomplete information to model such situations.","PeriodicalId":373527,"journal":{"name":"PSN: Game Theory (Topic)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131800996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper studies egalitarianism in the context of nontransferable utility games by introducing and analyzing the egalitarian value. This new solution concept is based on an egalitarian negotiation procedure in which egalitarian opportunities of coalitions are explicitly taken into account. We formulate conditions under which it leads to a core element and discuss the egalitarian value for the well-known Roth-Shafer examples. Moreover, we characterize the new value on the class of bankruptcy games and bargaining games.
{"title":"Egalitarianism in Nontransferable Utility Games","authors":"Bas J. Dietzenbacher, P. Borm, R. Hendrickx","doi":"10.2139/ssrn.2958780","DOIUrl":"https://doi.org/10.2139/ssrn.2958780","url":null,"abstract":"This paper studies egalitarianism in the context of nontransferable utility games by introducing and analyzing the egalitarian value. This new solution concept is based on an egalitarian negotiation procedure in which egalitarian opportunities of coalitions are explicitly taken into account. We formulate conditions under which it leads to a core element and discuss the egalitarian value for the well-known Roth-Shafer examples. Moreover, we characterize the new value on the class of bankruptcy games and bargaining games.","PeriodicalId":373527,"journal":{"name":"PSN: Game Theory (Topic)","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131191094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A theoretical framework is introduced to model social norms using the tools of psychological game theory. In the Prisoner's Dilemma Game, a preference for norm compliance can lead to cooperation arising with a positive probability, and if this preference is sufficiently strong, occurring as a pure strategy equilibrium. Thus, cooperation can arise as a social norm in a one-shot Prisoner's Dilemma Game without repeated play, communication, or sanctions.
{"title":"Social Norms and Cooperation","authors":"Bryan C. McCannon","doi":"10.2139/ssrn.2735759","DOIUrl":"https://doi.org/10.2139/ssrn.2735759","url":null,"abstract":"A theoretical framework is introduced to model social norms using the tools of psychological game theory. In the Prisoner's Dilemma Game, a preference for norm compliance can lead to cooperation arising with a positive probability, and if this preference is sufficiently strong, occurring as a pure strategy equilibrium. Thus, cooperation can arise as a social norm in a one-shot Prisoner's Dilemma Game without repeated play, communication, or sanctions.","PeriodicalId":373527,"journal":{"name":"PSN: Game Theory (Topic)","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132289359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We develop a model of policymaking in which a politician decides how much expertise to acquire or how informed to become about issues before interest groups engage in monetary lobbying. For a range of issues, the policymaker prefers to remain clueless about the merits of reform, even when acquiring expertise or better information is costless. Such a strategy leads to intense lobbying competition and larger political contributions. We identify a novel benefit of campaign finance reform, showing how contribution limits decrease the incentives that policymakers have to remain uninformed or ignorant of the issues on which they vote.
{"title":"Clueless Politicians","authors":"Christopher S. Cotton, Cheng Li","doi":"10.2139/ssrn.2677481","DOIUrl":"https://doi.org/10.2139/ssrn.2677481","url":null,"abstract":"We develop a model of policymaking in which a politician decides how much expertise to acquire or how informed to become about issues before interest groups engage in monetary lobbying. For a range of issues, the policymaker prefers to remain clueless about the merits of reform, even when acquiring expertise or better information is costless. Such a strategy leads to intense lobbying competition and larger political contributions. We identify a novel benefit of campaign finance reform, showing how contribution limits decrease the incentives that policymakers have to remain uninformed or ignorant of the issues on which they vote.","PeriodicalId":373527,"journal":{"name":"PSN: Game Theory (Topic)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129494934","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study environments in which agents from a large population are randomly matched to play a one-shot game, and, before the interaction begins, each agent observes noisy information about the partner's aggregate behavior. Agents follow stationary strategies that depend on the observed signal. We show that every strategy distribution admits a unique behavior if each player observe on average less than action of his partner. On the other hand, if each player observes on average more than one action, we show that there exists a stationary strategy that admits multiple consistent outcomes.
{"title":"Unique Stationary Behavior","authors":"Yuval Heller","doi":"10.2139/ssrn.2646960","DOIUrl":"https://doi.org/10.2139/ssrn.2646960","url":null,"abstract":"We study environments in which agents from a large population are randomly matched to play a one-shot game, and, before the interaction begins, each agent observes noisy information about the partner's aggregate behavior. Agents follow stationary strategies that depend on the observed signal. We show that every strategy distribution admits a unique behavior if each player observe on average less than action of his partner. On the other hand, if each player observes on average more than one action, we show that there exists a stationary strategy that admits multiple consistent outcomes.","PeriodicalId":373527,"journal":{"name":"PSN: Game Theory (Topic)","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126122993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We examine the conditions under which iterative elimination of weakly dominated strategies refines the set of proper outcomes of a normal-form game. We say that the proper inclusion holds in terms of outcome if the set of outcomes of all proper equilibria in the reduced game is included in the set of all proper outcomes of the original game. We show by examples that neither dominance solvability nor the transference of decision-maker indifference condition (TDI of Marx and Swinkels [1997]) implies proper inclusion. When both dominance solvablility and the TDI condition are satisfied, a positive result arises: the game has a unique stable outcome. Hence, the proper inclusion is guaranteed.
{"title":"How Proper is the Dominance-Solvable Outcome?","authors":"Yukio Koriyama, Matías Núñez","doi":"10.2139/ssrn.2630596","DOIUrl":"https://doi.org/10.2139/ssrn.2630596","url":null,"abstract":"We examine the conditions under which iterative elimination of weakly dominated strategies refines the set of proper outcomes of a normal-form game. We say that the proper inclusion holds in terms of outcome if the set of outcomes of all proper equilibria in the reduced game is included in the set of all proper outcomes of the original game. We show by examples that neither dominance solvability nor the transference of decision-maker indifference condition (TDI of Marx and Swinkels [1997]) implies proper inclusion. When both dominance solvablility and the TDI condition are satisfied, a positive result arises: the game has a unique stable outcome. Hence, the proper inclusion is guaranteed.","PeriodicalId":373527,"journal":{"name":"PSN: Game Theory (Topic)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129555159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We give a selective survey of oligopoly models for energy production which capture to varying degrees issues such as exhaustibility of fossil fuels, development of renewable sources, exploration and new technologies, and changing costs of production. Our main focus is on dynamic Cournot competition with exhaustible resources. We trace the resulting theory of competitive equilibria and discuss some of the major emerging strands, including competition between renewable and exhaustible producers, endogenous market phase transitions, stochastic differential games with controlled jumps, and mean field games.
{"title":"Game Theoretic Models for Energy Production","authors":"M. Ludkovski, R. Sircar","doi":"10.2139/ssrn.2579610","DOIUrl":"https://doi.org/10.2139/ssrn.2579610","url":null,"abstract":"We give a selective survey of oligopoly models for energy production which capture to varying degrees issues such as exhaustibility of fossil fuels, development of renewable sources, exploration and new technologies, and changing costs of production. Our main focus is on dynamic Cournot competition with exhaustible resources. We trace the resulting theory of competitive equilibria and discuss some of the major emerging strands, including competition between renewable and exhaustible producers, endogenous market phase transitions, stochastic differential games with controlled jumps, and mean field games.","PeriodicalId":373527,"journal":{"name":"PSN: Game Theory (Topic)","volume":"122 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123711620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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