Externalities and compensation: Primeval games and solutions

The classical literature [Pigou, A.C., 1920. The Economics of Welfare. Macmillan, London; Coase, R.H., 1960. The problem of social cost. Journal of Law and Economics 3, 1-44; Arrow, K., 1970. The organization of economic activity: issues pertinent to the choice of market versus non-market allocation. In: Haveman, R.H., Margolis, J. (Eds.), Public Expenditures and Policy Analysis. Markham, Chicago, pp. 59-73] and the relatively recent studies [cf. Varian, H.R., 1994. A solution to the problem of externalities when agents are well-informed. American Economic Review 84, 1278-1293] associate the externality problem with efficiency. This paper focuses explicitly on the compensation problem in the context of externalities. To capture the features of inter-individual externalities, this paper constructs a new game-theoretic framework: primeval games. These games are used to design normative compensation rules for the underlying compensation problems: the marginalistic rule, the concession rule, and the primeval rule. Characterizations of the marginalistic rule and the concession rule are provided and specific properties of the primeval rule are studied. (C) 2007 Elsevier B.V. All rights reserved

A note on games corresponding to sequencing situations with due dates

convex cooperative games;one-machine sequencing situations;due dates;ready times

Simple Priorities and Core Stability in Hedonic Games

In this paper we study hedonic games where each player views every other player either as a friend or as an enemy. Two simple priority criteria for comparison of coalitions are suggested, and the corresponding preference restrictions based on appreciation of friends and aversion to enemies are considered. It turns out that the first domain restriction guarantees non-emptiness of the strong core and the second domain restriction ensures non-emptiness of the weak core of the corresponding hedonic games. Moreover, an element of the strong core under friends appreciation can be found in polynomial time, while finding an element of the weak core under enemies aversion is NP-hard. We examine also the relationship between our domain restrictions and some sufficient conditions for non-emptiness of the core already known in the literature.coalition formation, core stability, hedonic games, priority

Externalities and Compensation: Primeval Games and Solutions

The classical literature (Pigou (1920), Coase (1960), Arrow (1970)) and the relatively recent studies (cf.Varian (1994)) associate the externality problem with efficiency.This paper focuses explicitly on the compensation problem in the context of externalities.To capture the features of inter-individual externalities, this paper constructs a new game-theoretic framework: primeval games.These games are used to design normative compensation rules for the underlying compensation problems: the marginalistic rule, the concession rule, and the primeval rule.Characterizations of the marginalistic rule and the concession rule are provided and specific properties of the primeval rule are studied.externality;compensation;primeval games;marginalistic rule;concession rule;primeval rule

On the Rule of Chance Moves and Information in Two-Person Games

The value of information has been the subject of many studies in a strategic context.The central question in these studies is how valuable the information hidden in the chance moves of a game is for one or more of the players.Generally speaking, only the extra possibilities that are beneficial for the players have been considered so far.In this note we study the value of information for a special class of two-person games.For these games we also investigate how badly the players can do, both with and without knowing the result of the chance move. In this way one can determine to what extent the players are restricted in their possibilities by the fact that some information is hidden in the chance moves of the games.This allows for a comparison of the influence of the chance move to the control that the players have over the game result.information;games;control

Convexity in stochastic cooperative situations

This paper introduces a new model concerning cooperative situations in which the payoffs are modeled by random variables. We analyze these situations by means of cooperative games with random payoffs. Special attention is paid to three types of convexity, namely coalitional-merge, individual-merge and marginal convexity. The relations between these types are studied and in particular, as opposed to their deterministic counterparts for TU games, we show that these three types of convexity are not equivalent. However, all types imply that the core of the game is nonempty. Sufficient conditions on the preferences are derived such that the Shapley value, defined as the average of the marginal vectors, is an element of the core of a convex game

A Non-cooperative Approach to the Compensation Rules for Primeval Games

AMS Classifications: 91A06; 91A10; 91A12externality;compensation;primeval games;marginalistic rule;concession rule;primeval rule;bidding mechanism;implementation

Equity crowdfunding, shareholder structures, and firm performance

This is the author accepted manuscript. The final version is available from Wiley via the DOI in this record.Research question/issue: This paper provides a first-time glimpse into the postcampaign financial and innovative performance of equity-crowdfunded (ECF) and matched nonequity-crowdfunded (NECF) firms. We further investigate how direct and nominee shareholder structures in ECF firms are associated with firm performance. Research findings/insights: We find that ECF firms have 8.5 times higher failure rates than matched NECF firms. However, 3.4 times more ECF firms have patent applications than matched NECF firms. Within the group of ECF firms, we find that ECF firms financed through a nominee structure make smaller losses, whereas ECF firms financed through a direct shareholder structure have more new patent applications, including foreign patent applications. Theoretical/academic implications: Our findings suggest that there are important adverse selection issues on equity crowdfunding platforms, although these platforms also serve as a catalyst for innovative activities. Moreover, our findings suggest that there is a more complex relationship between dispersed versus concentrated crowd shareholders and firm performance than currently assumed in the literature. Practitioner/policy implications: For policy makers and crowdfunding platforms, investor protection against adverse selection will be important to ensure the sustainability of equity crowdfunding markets. For entrepreneurs and crowd investors, our study highlights how equity crowdfunding and the adopted shareholder structure relate to short-term firm performance.Research Foundation—Flander

Linear Transformation of Products: Games and Economies

AMS classifications: 90A15, 90D12.linear transformation;cooperative games;economies;price equilibria