Social norms and trust among strangers

We study the development of a social norm of trust and reciprocity among a group of strangers via the “contagious strategy” as defined in Kandori (1992). Over an infinite horizon, the players anonymously and randomly meet each other and play a binary trust game. In order to provide the investors with proper incentives to follow the contagious strategy, there is a sufficient condition that requires that there exists an outside option for the investors. Moreover, the investorsʼ payoff from the outside option must converge to the payoff from trust and reciprocity as the group size goes to infinity. We show that this sufficient condition is also a necessary condition to sustain any sequential equilibrium in which the trustees adopt the contagious strategy. Our results imply that a contagious equilibrium only supports trust if trust contributes almost nothing to the investorsʼ payoffs.     

Social norms, information, and trust among strangers: theory and evidence

Can a social norm of trust and reciprocity emerge among strangers? We investigate this question by examining behavior in an experiment where subjects repeatedly play a two-player binary “trust” game. Players are randomly and anonymously paired with one another in each period. The main questions addressed are whether a social norm of trust and reciprocity emerges under the most extreme information restriction (anonymous community-wide enforcement) or whether trust and reciprocity require additional, individual-specific information about a player’s past history of play and whether that information must be provided freely or at some cost. In the absence of such reputational information, we find that a social norm of trust and reciprocity is difficult to sustain. The provision of reputational information on past individual decisions significantly increases trust and reciprocity, with longer histories yielding the best outcomes. Importantly, we find that making reputational information available at a small cost may also lead to a significant improvement in trust and reciprocity, despite the fact that most subjects do not choose to purchase this information.     

The non-constant-sum Colonel Blotto game

The Colonel Blotto game is a two-player constant-sum game in which each player simultaneously distributes his fixed level of resources across a set of contests. In the traditional formulation of the Colonel Blotto game, the players?? resources are ??use it or lose it?? in the sense that any resources that are not allocated to one of the contests are forfeited. This article examines a non-constant-sum version of the Colonel Blotto game that relaxes this use it or lose it feature. We find that if the level of asymmetry between the players?? budgets is below a threshold, then there exists a one-to-one mapping from the unique set of equilibrium univariate marginal distribution functions in the constant-sum game to those in the non-constant-sum game. Once the asymmetry of the players?? budgets exceeds the threshold, this relationship breaks down and we construct a new equilibrium.     

Co-evolution of Preferences and Information in Simple Games of Trust

In standard rational choice modelling decisions are made according to given information and preferences. In the model presented here the `information technology' of individual decision-makers as well as their preferences evolve in a dynamic process. In this process decisions are made rationally by players who differ in their informational as well as in their preference type. Relative success of alternative decisions feeds back on the type composition of the population which in turn influences rational decision-making. An indirect evolutionary analysis of an elementary yet important basic game of trust shows that under certain parameter constellations the population dynamics of the evolutionary process specify a unique completely mixed rest point. However, as opposed to previous studies of preference formation in the game of trust there is no convergence to but only circumventing the rest point if the informational status of individuals evolves rather than being chosen strategically.     

中国企业诚信缺失的根源及对策:一个基于博弈论的分析

孤立静止地看企业诚信问题 ,容易将企业诚信缺失的主要根源归结为道德问题或打击力度不够 ,但运用博弈论对诚信机制进行的讨论 ,使我们看到建立和完善企业诚信机制是一项涉及产权制度等因素的复杂系统工程。本文的分析还初步证明了企业诚信系统的建立和完善程度对市场经济体制的完善和发达程度的高度依存关系。     

Trust and reciprocity in inter-individual versus inter-group interactions: The effects of social influence, group dynamics, and perspective biases

Using an experimental trust game, I examine whether the perspectives and behavior of group representatives and consensus groups differ from those of the same individuals in an analogous inter-individual situation. A primary goal of this research is to extend past work on trust and reciprocity by examining the impact of the social contexts within which social interactions are characteristically embedded. Specifically, this research concerns whether norms and dynamics of trust and reciprocity differ in the contexts of inter-individual and inter-group interactions. First, I examine whether dynamics of trust and reciprocity differ in various inter-group interactions where inter-group decisions are operationalized as 1) autonomous group representatives, i.e., individuals who are given the responsibility of unilaterally making a decision on behalf of a three-person group engaging with a group representative of another such group; and 2) consensus groups, i.e., group members making a consensus trust or reciprocity decision for their groups via a collective process with another such group. Results of these studies show that 1) people trust less and reciprocate less when responsible for a group or organizational decision as autonomous group representatives; 2) consensus groups do not differ from individuals in their level of trust but show dramatically less reciprocity. The group consensus mechanism in fact produced by far the lowest reciprocity level, significantly lower than that exhibited by either individuals or autonomous group representatives. Thus, inter-group trust and reciprocity dynamics are not readily inferable from their inter-individual counterparts. Moreover, an important implication is emerging here: the extent and direction of the discrepancy between individual and group choices in regard to trust and reciprocity levels and possibly other social preferences in general may depend importantly on the precise details of the group decision-making mechanism, for example whether decisions are made consensually, by majority vote, or by a group leader or representative. In addition to examining the level of trust and reciprocity that occur in these various situations, I also studied, using both behavioral and questionnaire data, the roles of self-interest, social influence, and group dynamics in trust and reciprocity perceptions and behavior. The results showed that there exist discrepancies between behavioral forecasts and the actual behavior, and that trusting behavior is driven strongly by expectation of level of reciprocation, while reciprocating behavior is driven strongly by the difference between trust expectation and actual trust received.     

Does competition foster trust? The role of tournament incentives

Members of organizations are often called upon to trust others and to reciprocate trust while at the same time competing for bonuses or promotions. We suggest that competition affects trust not only within dyads including direct competitors, but also between individuals who do not compete against each other. We test this idea in a trust game where trustors and trustees are rewarded based either on their absolute performance or on how well they do relative to players from other dyads. In Experiment 1, we show that competition among trustors significantly increases trust. Competition among trustees decreases trustworthiness, but trustors do not anticipate this effect. In Experiment 2, we additionally show that the increase in trust under competition is caused by a combination of increased risk taking and lower sensitivity to non-financial concerns specific to trust interactions. Our results suggest that tournament incentives might have a “blinding effect” on considerations such as betrayal and inequality aversion.     

Strategic complementarities and search market equilibrium

In this paper, we apply supermodular game theory to the equilibrium search literature with sequential search. We identify necessary and sufficient conditions for the pricing game to exhibit strategic complementarities and prove existence of equilibrium. We then show that price dispersion is inherently incompatible with strategic complementarities in the sense that the Diamond Paradox obtains when firms are identical and is robust within the class of search cost densities that are small near zero and support strategic complementarities. We also show that a major criticism of the literature, that agents act as if they know the distribution of prices, can be justified in the sense of convergent best response dynamics.     

Conditional Cooperation and Voluntary Contributions to Public Goods

We compare a partners condition , where the same small group of subjects plays a repeated public good game, to a strangers condition , where subjects play this game in changing group formations. From the first period onward, subjects in the partners condition contribute significantly more to the public good than subjects in the strangers condition. Strangers' contributions show continual decay, while partners' contributions fluctuate on a high level prior to decreasing in the final periods. We interpret subjects' behaviour in terms of conditional cooperation which is characterized by both future-oriented and reactive behaviour.
JEL classifications: C 91; C 92; H 41     

Waiting to settle: Multilateral bargaining with subjective biases

We study multilateral bargaining games where agents disagree over their bargaining power. We show that if agents are extremely optimistic, there may be costly delays in an arbitrarily long finite game but if optimism is moderate, all sufficiently long games end in immediate agreement. We show that the game with extreme optimism is highly unstable in the finite-horizon, and we examine the ramifications of this instability on the infinite-horizon problem. Finally, we consider other voting rules, and show that the majority-rule may be more efficient than the unanimity rule when agents are optimistic.     

Evolutionary dynamics on infinite strategy spaces

Summary. The study of evolutionary dynamics was so far mainly restricted to finite strategy spaces. In this paper we show that this unsatisfying restriction is unnecessary. We specify a simple condition under which the continuous time replicator dynamics are well defined for the case of infinite strategy spaces. Furthermore, we provide new conditions for the stability of rest points and show that even strict equilibria may be unstable. Finally, we apply this general theory to a number of applications like the Nash demand game, the War of Attrition, linear-quadratic games, the harvest preemption game, and games with mixed strategies. Received: June 25, 1999; revised version: January 31, 2000     

Analogies and theories: The role of simplicity and the emergence of norms

We consider the dynamics of reasoning by general rules (theories) and by specific cases (analogies). When an agent faces an exogenous process, we show that, under mild conditions, if reality happens to be simple, the agent will converge to adopt a theory and discard analogical thinking. If, however, reality is complex, analogical reasoning is unlikely to disappear. By contrast, when the agent is a player in a large population coordination game, and the process is generated by all playersʼ predictions, convergence to a theory is much more likely. This may explain how a large population of players selects an equilibrium in such a game, and how social norms emerge. Mixed cases, involving noisy endogenous processes are likely to give rise to complex dynamics of reasoning, switching between theories and analogies.     

Unemployment, tax evasion and the slippery slope framework

The proposed theoretical work introduces the basic insights of the ??slippery slope?? framework into the benchmark macroeconomic model of the labour market in order to study the relation between tax compliance, tax evasion and unemployment. This paper shows that the firm??s decision to evade taxes also depends on trust in tax authorities and affects one of the most important macroeconomic variables: the unemployment rate. Also, the model is able to mimic the crucial interaction between trust and power and its effects on tax compliance. The main result is that with the ??right mix?? of policy tools of deterrence, trust in tax authorities is maximised, tax compliance increases and a reduction of tax evasion may decrease unemployment.     

Employment cycles, low income work and the dynamic impact of wage regulations. A macro perspective

In this paper we investigate, against the background of Goodwin??s (1967) growth cycle model, a dual labor market economy and the consequences of introducing an unemployment benefit system and minimum wages in the second labor market and a maximum wage barrier in the first one. In the framework with free ??hiring?? and firing?? in the both labor markets we show (a) that in fact maximum real wages in the first labor market not only reduce the volatility of this labor market, but also provide global stability to the system dynamics if they are locally explosive, and (b) that larger fluctuations in employment can be made (at least partially) socially acceptable through a (workfare oriented) unemployment benefit system augmented by minimum wage in the low income segment of the labor market.     

Cooperation,Trust and Economic Development: An Experimental Study in China

Many previous empirical studies have suggested that cooperation and trust affect economic growth. However, the precise relationship between trust and cooperation (i.e. whether trust leads to cooperation or cooperation leads to trust) remains unclear and it is not known how the level of economic development affects the level of cooperation and trust. Using a combination of public goods, gambling game and trust game experiments, we investigate the links among cooperation, trust and economic development in four regions of China. Our results suggest that, first, there is a U‐shaped or V‐shaped relationship between cooperation and economic development. Second, on the one hand, cooperation leads to trust, and on the other hand, more cooperative behaviour may be created by rewarding trusting behaviour. Third, men are more cooperative and trusting than women. Furthermore, we find that the widely used ‘GSS trust’ question from the General Social Survey (GSS) does not predict either cooperation or trust, whereas the questions ‘GSS fair’ and ‘GSS help’ have weak predictive power for trusting behaviour but not for cooperative behaviour.     

Entrepreneurship,trust and corruption

I propose a theoretical model where trust towards strangers is a channel through which institutions determine economic outcomes, in particular, entrepreneurship and corruption. More importantly, I show that the role of trust has been overlooked since high levels of trust do not always enhance desirable economic outcomes. Trust helps individuals to participate in economic exchanges aligned with social welfare, but it also facilitates individuals to cooperate for the achievement of corrupt deals. Under this more general view of trust, the model generates a non-trivial new prediction at the individual level. Specifically, the individual-level relationship between honesty and trust changes depending on the institutional quality of a country. Dishonest individuals are the more trusting individuals in countries with poor institutions, and the less trusting in countries with good institutions. Using individual-level data of 80 countries from the World Value Survey and the European Values Study, I present empirical evidence in support of this prediction.     

Self-selection and the power of incentive schemes: an experimental study

We examine how self-selection of workers depends on the power of incentive schemes and how it affects team performance if the power of the incentive schemes is increased. In a laboratory experiment, we let subjects choose between (low-powered) team incentives and (high-powered) individual incentives. We observe that subjects exhibiting high trust or reciprocity in the trust game are more likely to choose team incentives. When exposed to individual incentives, subjects who chose team incentives perform worse if both the unobservable interdependency between their efforts and their incentive to cooperate under team incentives are high.     

社会资本外部性的经济分析——以信任关系为例

以往理论研究与经验研究均指出社会资本具有正面的效应,但对这种效应是怎样取得的并无共识.我们尝试建立一个不完全信息动态博弈模型,说明社会资本-信任如何产生正的外部性,亦即产生超出个体理性计算之外的利益.我们的分析得出这样的结论,在一个多人互动的环境中,能否达到彼此合作或彼此信任,虽然会受到欺骗者所遭到的惩罚与欺骗利益多少的影响,但主要受到所处环境中具有社会资本者人数比例的影响.因此,可以说社会资本具有正的网络外部性,信任者人数越多,信任者所享受到的利益越大.     

Bilateral oligopoly and quantity competition

Bilateral oligopoly is a market game with two commodities, allowing strategic behavior on both sides of the market. When the number of buyers is large, bilateral oligopoly approximates a game of quantity competition played by sellers. We present examples which show that this is not typically a Cournot game. Rather, we introduce an alternative game of quantity competition (the market share game) and, appealing to results in the literature on contests, show that this yields the same equilibria as the many-buyer limit of bilateral oligopoly, under standard assumptions on costs and preferences. We also show that the market share and Cournot games have the same equilibria if and only if the price elasticity of the latter is one and investigate the differences in equilibria otherwise. These results lead to necessary and sufficient conditions for the Cournot game to be a good approximation to bilateral oligopoly with many buyers and to an ordering of total output when they are not satisfied.     

Sustaining Collusion under Economic Integration*

In this paper, we aim at investigating from a game‐theory perspective whether trade liberalization can promote a collusive two‐way trade. We show that, under Cournot competition, economic integration is anti‐competitive if collusive trade is a possible outcome of the repeated game; under price competition, the likelihood of collusive trade is a necessary but not sufficient condition for trade liberalization to be pro‐competitive. Furthermore, we show that economic integration may increase the scope for collusion irrespective of the firms’ strategic variable.