GRIND OR GAMBLE? AN EXPERIMENT ON EFFORT AND SPREAD SEEKING IN CONTESTS

We conduct a contest experiment to study if spread seeking and effort can be managed when participants can invest in increasing both the mean and the spread of an uncertain performance variable. Subjects are treated with different prize schemes and in accordance with theory, we observe higher investments in spread for the winner-take-all scheme. Both types of investments can be controlled with a three-level prize scheme. However, the control management is imperfect and behavior is characterized by inertia. We also explore the correlation between effort and spread across subjects and find that is robustly positive.     

Reference functions and possibility theorems for cardinal social choice problems

 In this paper, we provide axiomatic foundations for social choice rules on a domain of convex and comprehensive social choice problems when agents have cardinal utility functions. We translate the axioms of three well known approaches in bargaining theory (Nash 1950; Kalai and Smorodinsky 1975; Kalai 1977) to the domain of social choice problems and provide an impossibility result for each. We then introduce the concept of a reference function which, for each social choice set, selects a point from which relative gains are measured. By restricting the invariance and comparison axioms so that they only apply to sets with the same reference point, we obtain characterizations of social choice rules that are natural analogues of the bargaining theory solutions. Received: 8 August 1994/Accepted: 12 February 1996     

Non-exclusive group contests: An experimental analysis

We experimentally study a non-exclusive group contest in which contestants actively participate in multiple groups simultaneously. We compare the results of this contest to those of an exclusive group contest in which each contestant belongs to a single group. In contrast to theoretical predictions, we find that the non-exclusive group contest generates less aggregate effort than the equivalent exclusive group contest. We hypothesize that groups in the non-exclusive group contest are less responsive to their rival group’s effort than those in the exclusive group contest. Likewise, on the individual level, players in the non-exclusive group contest are more likely to free-ride on their group members’ contributions. Our data indicate that non-free-riders in the non-exclusive group contest are more likely, over time, to allocate their effort toward a single group. This finding is consistent with previous findings that players facing a complex strategy space tend to focus on specific winning combinations. Moreover, given that players are affected by their group members’ contributions, they tend to exert their effort primarily toward a single group. Taken together, our findings suggest that a non-exclusive group contest may evolve, over time, into an exclusive group contest.     

Bargaining power and equilibrium consumption

We examine how a shift of bargaining power within households operating in a competitive market environment affects equilibrium allocation and welfare. If price effects are sufficiently small, then typically an individual benefits from an increase of bargaining power, necessarily to the detriment of others. If price effects are drastic, the welfare of all household members moves in the same direction when bargaining power shifts, at the expense (or for the benefit) of outside consumers. Typically a shift of bargaining power within a set of households also impacts upon other households. We show that each individual of a sociological group tends to benefit, if he can increase his bargaining power, but suffers if others in his group do the same.     

Towards a new experimental socio-economics: Complex behaviour in bargaining

Game theory has provided a rigorous conceptual support to analyse strategic decisions and bargaining behaviour. But it shares with competitive equilibrium three basic assumptions. The players are fully rational; they comprehend the faced situation; and they know all the relevant institutional parameters. Thus disregarding the social dimension of bargaining. In this paper we advocate for a consilient focus of economics, psychology and sociology. We argue that it is necessary and possible to experiment within a Multi-Agent Systems (MAS) with bounded rational agents endorsed with explicit social behaviour. The observed behaviour is obtained from a laboratory experiment with human agents and can be captured in a cognitive multi-agent modelling with artificial agents. The approach can accommodate both declarative and procedural rationality; i.e., rationality as a process and as a product of learning.     

Dynamic contests with resource constraints

We study a dynamic contest between two players who compete against each other in $n$ different stages. The players have winning values for each stage of the contest that may vary across the stages as well as heterogeneous resource budgets that decrease from a given stage to the next proportionally to the resources allocated in that stage. We characterize a subgame perfect equilibrium of this dynamic contest and show that when the winning value is equal between the stages, the players’ resource allocations are weakly decreasing over the stages. We also study the effect of several distributions of winning values on the players’ resource allocations. We show both the distribution of winning values that balances the players’ resource allocations and the distribution of winning values that maximizes the players’ total resource allocations.     

Sequential contests with synergy and budget constraints

We study a sequential Tullock contest with two stages and two identical prizes. The players compete for one prize in each stage and each player may win either one or two prizes. The players have either decreasing or increasing marginal values for the prizes, which are commonly known, and there is a constraint on the total effort that each player can exert in both stages. We analyze the players’ allocations of efforts along both stages when the budget constraints (effort constraints) are either restrictive, nonrestrictive or partially restrictive. In particular, we show that when the players are either symmetric or asymmetric and the budget constraints are restrictive, independent of the players’ values for the prizes, each player allocates his effort equally along both stages of the contest.     

Collective consumption models with restricted bargaining weights: an empirical assessment based on experimental data

We use experimental data to analyze consumption decisions by groups of individuals who have to reach a consensus on spending a joint budget. Our experiment involves dyads (i.e. two-member groups) who have to compose consumption bundles consisting of three commodities (wine, orange juice and M&Ms). We focus on the collective consumption model to describe group behavior. This model represents group decisions as Pareto optimal outcomes of a within-group bargaining process, with rational group members who are each characterized by individual bargaining weights. We also consider specifications of the collective model that restrict the variation of these bargaining weights. A distinguishing feature of our study is that we use revealed preference testing tools to assess the goodness-of-fit and discriminatory power of alternative specifications of the collective model. Our experimental results suggest that the most appropriate model specification allows for a limited variation of the bargaining weights.     

Household Decision-Making and Expenditure Patterns of Married Men and Women in Malaysia

This study tests two opposing models of household behavior, the income pooling hypothesis and the bargaining model, by examining the final decision-making and expenditure patterns of married men and women in Malaysia. The data used is from the responses of 1,778 married persons obtained from a survey of employed Malaysians. The results show that women are often the final decision-makers on everyday household expenditures while men make the final decisions on large household expenditures, but both men and women practice autonomy in decisions related to financial investments. In spending, variations are observed between men and women in their level and proportion of expenditure of certain categories of goods and services. Relative earning share is a significant factor in decision making as well as consumption expenditure. These results tend to support the bargaining model of household decision-making.     

INCOMPLETE CONTRACTING: A LABORATORY EXPERIMENTAL ANALYSIS

Incomplete contracts are motivated by difficulties in specifying contingent responses to unforeseen change in long-term trading relationships. The issues can be parsimoniously represented in a two-period model. Parties first make transaction-specific investment that enhances value or reduces cost. Surplus is then realized, and bargaining divides the surplus and completes the contract. The testable hypothesis is that realized surplus shares are independent of sunk investments. This is strongly rejected using laboratory experimental methods. Failure of the prediction affects the expected profitability of contracts.     

Incomplete property rights and overinvestment

I consider a model in which an asset owner must decide how much to invest in his asset mindful of the fact that an encroacher??s valuation of the asset is increasing in the asset owner??s investment. Due to incomplete property rights, the encroacher and asset owner engage in a contest over the control of the asset after investment has taken place. A standard result is that the asset owner will underinvest in the asset relative to the first-best level of investment when property rights are complete. Contrary to this standard result, I find that when the interaction between the asset owner and the encroacher is infinitely repeated and the encroacher has some bargaining power over the size of the transfer from the asset owner to him, then there is a cooperative equilibrium in which the asset owner finds it optimal to overinvest in the asset when property rights are incomplete relative to the first-best level of investment when property rights are complete. Overinvestment is used to induce cooperation. However, this result depends on the encroacher??s bargaining power or, more generally, whether the transfer is an increasing function of investment.     

CARROTS AND STICKS: PRIZES AND PUNISHMENTS IN CONTESTS

We study optimal contest design in situations where the designer can reward high performance agents with positive prizes and punish low performance agents with negative prizes. We link the optimal prize structure to the curvature of distribution of abilities in the population. In particular, we identify conditions under which, even if punishment is costly, punishing the bottom is more effective than rewarding the top in eliciting effort input. If punishment is costless, we study the optimal number of punishments in the contest. (JEL D44, D82, J31, J41)     

The effect of type of union on member-nonmember wage differentials

The union-nonunion wage differential can be decomposed into bargaining and membership effects. While some analysts suggest that they are not separable and that bargaining power is a function of membership density, others argue that they are separable and that the former derives from monopoly power while the latter stems from socialization. Our results support the latter view. We derive estimates of bargaining and membership effects for workers covered by national, industrial, and craft union contracts as well as for all covered workers taken together. Since industrial and craft unions differ in structure and organization, we expect differences in the socialization effects among types of unions. It is clear from our results that union membership per se in each case gives a large positive wage advantage.     

Implementation with renegotiation when preferences and feasible sets are state dependent

In this paper, we present a model of implementation where infeasible allocations are converted into feasible ones through a process of renegotiation that is represented by a reversion function. We describe the maximal set of Social Choice Correspondences that can be implemented in Nash Equilibrium in a class of reversion functions that punish agents for infeasibilities. This is used to study the implementation of the Walrasian Correspondence and several axiomatic solutions to problems of bargaining and taxation.     

Supplying lead firms,intangible assets and power in global value chains: Explaining governance in the fertilizer chain

Global suppliers of agricultural inputs such as seeds, fertilizers and agrochemicals exert increasing degrees of power in global value chains (GVCs). Although the GVC literature has explained how global buyers govern GVCs from the buying-end, the question of how global suppliers achieve governance from the supplying-end remains underexplored. We address this gap by combining a multidimensional typology of power with literature on intangible assets. We argue that intangible assets are crucial resources for global suppliers to morph otherwise ungovernable supply chains for undifferentiated input commodities into more sophisticated and governable GVCs. We illustrate our argument with the case of the global fertilizer supplier, YARA International. YARA's intangible asset investments were instrumental in governing the value chain integration of Tanzanian smallholder farmers. They allowed YARA to exert more than bargaining power (demonstrative, institutional and constitutive power) and to effectively position itself as supplying lead firm in Tanzania's agro-industrial GVC.     

An experimental investigation of simultaneous multi-battle contests with strategic complementarities

This paper reports the results of laboratory experiments that are designed to test theoretical predictions in a multi-battle contest with value complementarities among the battles. The specific setting is a game of Hex where control of each region is determined by a Tullock contest and the overall winner is determined by the combination of claimed regions. We find that in a game with only a few regions, aggregate behavior across regions is largely consistent with the theoretical predictions. However, examining individual level behavior suggests that bidders are not behaving in accordance with the model, but often pursue specific winning combinations. This intuitive behavioral approach is also found to occur in larger games where the theory is undeveloped.     

Intrahousehold allocation of financial resources: evidence from South Korean individual bank accounts

Using individual bank account data from South Korea, where joint accounts are rare and the legal system emphasizes the individuality of financial transactions, we examine the distribution of financial resources between spouses within households. We find that each member’s share of household savings depends on the balance of bargaining power. We also find that the wife’s bargaining power increases total household savings. The findings deviate from the unitary model.      

The robustness of ‘enemy-of-my-enemy-is-my-friend’ alliances

We examine a three-player, three-stage game of alliance formation followed by multi-battle conflict. There are two disjoint sets of battlefields, each of which is associated with a player who competes only within that set. The common enemy competes in both sets of battlefields. An ‘enemy-of-my-enemy-is-my-friend’ alliance forms when the two players facing the common enemy agree on a pre-conflict transfer of resources among themselves. We examine the case in which the players may commit to binding ex post transfers (alliances with full commitment) and the case in which ex post transfers are not feasible (self-enforcing alliances). Models that utilize the lottery contest success function typically yield qualitatively different results from those arising in models with the auction contest success function. However, under both contest success functions, alliances with full commitment result in identical alliance transfers for all parameter configurations, and self-enforcing alliances yield identical transfers over a subset of the parameter space. Our results, thus, provide a partial robustness result for ‘enemy-of-my-enemy-is-my-friend’ alliances.     

Characterizing the Nash bargaining solution without Pareto-Optimality

We consider the bargaining problems with a variable number of agents. Lensberg had previously characterized the Nash solution as the only solution to satisfy the following axioms: Pareto-Optimality, Symmetry, Scale Invariance, and Multilateral Stability. We show that the disagreement solution is the only additional solution to satisfy the restricted list of axioms obtained by dropping Pareto-Optimality.Support from NSF under grant 8511136 is gratefully acknowledged. Thanks are also due to H. Moulin for his comments at an early stage of this research.     

GENDER DIFFERENCES IN EXPERIMENTAL WAGE NEGOTIATIONS

We examine behavioral gender differences and gender pairing effects in a laboratory experiment with face‐to‐face alternating‐offers wage bargaining. Our results suggest that gender differences in bargaining behavior are role‐dependent. We find that women obtain worse bargaining outcomes than men when they take on the role of employees, but not when they act as employers. Differences in bargaining outcomes can be explained by the bargaining parties' initial offers and counteroffers. We do not find evidence for behavioral differences between men and women in the process of alternating offers after first offers and counteroffers are made.(JEL J16, C78, C91)