Garbled Elections

Abstract:

Majority rules are frequently used to decide whether or not a public good should be provided, but will typically fail to achieve an efficient provision. We provide a worst-case analysis of the majority rule with an optimally chosen majority threshold, assuming that voters have independent private valuations and are exante symmetric (provision cost shares are included in the valuations). We show that if the population is large it can happen that the optimal majority rule is essentially no better than a random provision of the public good. But the optimal majority rule is worst-case asymptotically efficient in the large-population limit if (i) the voters’ expected valuation is bounded away from 0, and (ii) an absolute bound for valuations is known.

October 2006

 

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195.pdf

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Providing Public Goods Without Strong Sanctioning Institutions

Abstract:

This paper proposes a simple mechanism aimed to establish positive contributions to public goods in the absence of powerful institutions to sanction free-riders. The idea of the mechanism is to require players to commit to the public good by paying a deposit prior to the contribution stage. If all players commit in this way, those players who do not contribute their share to the public good forfeit their deposit. If there is no universal commitment, all deposits are refunded and the standard game is played. Given deposits are sufficiently high, prior commitment and full ex post contributions are part of a strict subgame perfect Nash equilibrium for the resulting game. As the mechanism obviates the need for any ex post prosecution of free-riders, it is particularly suited for situations where players do not submit to a common authority as in the case of international agreements.

Keywords: public goods, cooperation, institutions, Climate-Change Treaties
JEL Classification: C72, D61
February 2007

 

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194.pdf

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Why and How Identity Should Influence Utility

Abstract:

This paper provides an argument for the advantage of a preference for identity-consistent behaviour from an evolutionary point of view. Within a stylised model of social interaction, we show that the development of cooperative social norms is greatly facilitated if the agents of the society possess a preference for identity consistent behaviour. As cooperative norms have a positive impact on aggregate outcomes, we conclude that such preferences are evolutionarily advantageous. Furthermore, we discuss how such a preference can be integrated in the modelling of utility in order to account for the distinctive cooperative trait in human behaviour and show how this squares with the evidence.

Keywords: cognitive dissonance, fairness, identity, reciprocity, social Norms, social preferences, utility
JEL Classification: A13, C70, C90, D01, Z13
January 2007

 

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193.pdf

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On the Explanatory Value of Inequity Aversion Theory

Abstract:

In a number of papers on their theory of Inequity Aversion, E. Fehr and K. Schmidt have claimed that the theory explains the behavior in many experiments. By virtue of having an infinite number of parameters the theory can predict a wide range of outcomes, from the competitive to the cooperative. Its prediction depends on values of these parameters. Fehr & Schmidt provide no explicit methodological plan for their project and as a result they repeatedly make logical and methodological errors. We look at the methodology of their explanations and find that no connection has been established between the experimental data and the behavior predicted by the theory. We conclude that the theory of inequity aversion has no explanatory value beyond its trivial capacity to predict a broad range of outcomes as a function of its parameters.

September 2006

 

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164.pdf

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A Characterization of the Conditions for Optimal Auction with Resale

Abstract:

Zheng has proposed a seller-optimal auction for (asymmetric) independent-privatevalue environments where inter-bidder resale is possible. Zheng’s construction requires novel conditions — Resale Monotonicity, Transitivity, and Invariance — on the bidders’ value distribution profile. The only known examples of distribution profiles satisfying these conditions in environments with three or more bidders are uniform distributions. Our characterization result shows that Zheng’s conditions, while being strong, are satisfied by many non-uniform distribution profiles. A crucial step in our analysis is to show that Invariance implies Resale Monotonicity and Transitivity.

Keywords: independent private values, optimal auction, resale, inverse virtual valuation function
May 2006

 

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128.pdf

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A Characterization of the Distributions That Imply Existence of Linear Equilibria in the Kyle-Model

Abstract:

The existence of a linear equilibrium in Kyle's model of market making with multiple, symmetrically informed strategic traders is implied for any number of strategic traders if the joint distribution of the underlying exogenous random variables is elliptical. The reverse implication has been shown for the case in which the random variables are independent and have finite second moments. Here we extend this result to the case in which the underlying random variables are not necessarily independent and their joint distribution is determined by its moments.

Keywords: Market Microstructure, Kyle Model, Linear
JEL Classification: G14, D82
May 2005

 

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43.pdf

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Speculation in Standard Auctions with Resale

Abstract:

In standard auctions with symmetric, independent private value bidders resale creates a role for a speculator—a bidder who is commonly known to have no use value for the good on sale. For second-price and English auctions the efficient value-bidding equilibrium coexists with a continuum of inefficient equilibria in which the speculator wins the auction and makes positive profits. First-price and Dutch auctions have an essentially unique equilibrium, and whether or not the speculator wins the auction and distorts the final allocation depends on the number of bidders, the value distribution, and the discount factor. Speculators do not make profits in first-price or Dutch auctions.

Keywords: standard auctions, speculation, resale, efficiency
JEL Classification: D44
May 2005

 

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Gregarious Behaviour of Evasive Prey

Abstract:

Lecture on the first SFB/TR 15 meeting, Gummersbach, July, 18 - 20, 2004

We model the formation of a herd as a game between a predator and a prey population. The predator receives some information about the composition of the herd when he chases it, but receives no information when he chases a solitary individual. We describe situations in which the herd and its leader are in conflict and in which the leader bows to the herd’s wish but where this is not to the benefit of the herd.

June 2004

 

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