Common Cost Allocation in the Firm

Twenty years ago. Martin Shubik suggested that the Shapley value of a game be used to allocate accounting costs. While that suggestion has-spawned a number of cost allocation proposals based on game-theoretic constructs, these studIes comprise only one of several major streams of cost allocation research. This study provides a framework in which the major streams of cost allocation research are evaluated and compared, with a special emphasis on those areas which relate to common cost allocation in the firm. This paper is a condensed version of "Allocations of Joint and Common Costs".

[1]  Henry E. Riggs,et al.  Accounting: A Survey , 1981 .

[2]  Daniel L. Jensen,et al.  The role of cost in pricing joint products : a case of production in fixed proportions / 133 , 1973 .

[3]  W. Lucas,et al.  N‐person games in partition function form , 1963 .

[4]  A. C. Pigou,et al.  Railway Rates and Joint Cost , 1913 .

[5]  E. Lindahl Just Taxation—A Positive Solution , 1958 .

[6]  T. Kreps Joint Costs in the Chemical Industry , 1930 .

[7]  Robert E. Verrecchia,et al.  The Shapley Value as Applied to Cost Allocation: A Reinterpretation , 1979 .

[8]  W. Baumol,et al.  Contestable Markets and the Theory of Industry Structure , 1982 .

[9]  Louis J. Billera,et al.  Internal Telephone Billing Rates - A Novel Application of Non-Atomic Game Theory , 1978, Oper. Res..

[10]  John C. Panzar,et al.  A Neoclassical Approach to Peak Load Pricing , 1976 .

[11]  Jack Hirshleifer,et al.  Peak Loads and Efficient Pricing: Comment , 1958 .

[12]  A. Alchian COSTS AND OUTPUTS , 1958 .

[13]  M. Shubik Incentives, Decentralized Control, the Assignment of Joint Costs and Internal Pricing , 1962 .

[14]  P. Samuelson The Pure Theory of Public Expanditure , 1954 .

[15]  Andrew Whinston,et al.  A new theory of pricing and decision- making for public investment , 1971 .

[16]  G. Owen,et al.  A Simple Expression for the Shapley Value in a Special Case , 1973 .

[17]  Robert S. Kaplan,et al.  Overhead Allocation with Imperfect Markets and Nonlinear Technology , 1974 .

[18]  Robert S. Kaplan,et al.  An Activity Analysis Approach to Unit Costing with Multiple Interactive Products , 1980 .

[19]  William W. Sharkey,et al.  Suggestions for a Game-Theoretic Approach to Public Utility Pricing and Cost Allocation , 1982 .

[20]  H. Young Producer Incentives in Cost Allocation , 1985 .

[21]  Roger L. Wright,et al.  Measuring the Precision of Statistical Cost Allocations , 1983 .

[22]  L. Shapley,et al.  Values of Non-Atomic Games , 1974 .

[23]  Shu S. Liao,et al.  The allocation of corporate indirect costs , 1981 .

[24]  J. Hirshleifer On the Economics of Transfer Pricing , 1956 .

[25]  H. Young Monotonic solutions of cooperative games , 1985 .

[26]  Stanley Baiman Agency research in managerial accounting: a survey , 1982 .

[27]  J. Neumann,et al.  Theory of games and economic behavior , 1945, 100 Years of Math Milestones.

[28]  Andrew B. Whinston,et al.  An Axiomatic Approach to Cost Allocation for Public Investment , 1974 .

[29]  H. Young,et al.  Cost allocation in water resources development , 1982 .

[30]  S. C. Littlechild,et al.  Aircraft Landing Fees: A Game Theory Approach , 1977 .

[31]  R. Myerson Values of games in partition function form , 1977 .

[32]  Edward J. Lusk,et al.  Transfer pricing - A synthesis , 1974 .

[33]  Robert E. Verrecchia,et al.  A New Proposal for Setting Intra-Company Transfer Prices , 1979 .

[34]  Gordon Shillinglaw,et al.  Managerial cost accounting , 1982 .

[35]  W. M. Hirsch,et al.  The fixed charge problem , 1968 .

[36]  A. Alchian The Basis of Some Recent Advances in the Theory of Management of the Firm , 1965 .

[37]  P. Steiner Peak Loads and Efficient Pricing , 1957 .

[38]  Joel S. Demski,et al.  Models in Managerial Accounting , 1982 .

[39]  N. Dopuch,et al.  Accounting Implications of a Mathematical Programming Approach to the Transfer Price Problem , 1964 .

[40]  R. Bernhard Some Problems In Applying Mathematical Programming To Opportunity Costing , 1968 .

[41]  J. H. Smith,et al.  Business and economic statistics , 1956 .

[42]  Optimum Pricing as Applied to Telephone Service , 1950 .

[43]  J. Harsanyi A bargaining model for the cooperative n-person game , 1958 .

[44]  Jagdish S. Gangolly On Joint Cost Allocation - Independent Cost Proportional Scheme (Icps) And Its Properties , 1981 .

[45]  Robert E. Verrecchia,et al.  A Unique Procedure For Allocating Common Costs From A Production Process , 1981 .

[46]  G. Stigler The Theory of Price , 1948 .

[47]  Nimrod Megiddo,et al.  Computational Complexity of the Game Theory Approach to Cost Allocation for a Tree , 1978, Math. Oper. Res..

[48]  Gary C. Biddle,et al.  Allocations of Joint and Common Costs , 1984 .

[49]  Lawrence J. White,et al.  Reversals in Peak and Offpeak Prices , 1974 .

[50]  Stephen C. Littlechild,et al.  Marginal-cost Pricing with Joint Costs , 1970 .

[51]  Dov Samet,et al.  An Axiomatic Approach to the Allocation of a Fixed Cost Through Prices , 1983 .

[52]  Peter Jennergren,et al.  Decentralization on the Basis of Price Schedules in Linear Decomposable Resource-Allocation Problems , 1972, Journal of Financial and Quantitative Analysis.

[53]  Ronald H. Coase,et al.  The Marginal Cost Controversy , 1946 .

[54]  Pradeep Dubey The Shapley Value as Aircraft Landing Fees--Revisited , 1982 .

[55]  Gerald L. Thompson,et al.  Overhead Allocation via Mathematical Programming Models , 1970 .

[56]  Lawrence Jeffrey Callen Financial cost allocations: a game-theoretic approach , 1977 .

[57]  Cost Allocation and Demand Revelation in Public Enterprises , 1980 .

[58]  Yair Tauman,et al.  Demand Compatible Equitable Cost Sharing Prices , 1982, Math. Oper. Res..

[59]  J. R. Gould Internal Pricing in Firms When There are Costs of Using an Outside Market , 1964 .

[60]  William A. Gamson,et al.  A theory of coalition formation , 1961 .

[61]  M. R. Colberg Monopoly Prices Under Joint Costs: Fixed Proportions , 1941, Journal of Political Economy.

[62]  Stephen Littlechild Common Costs, Fixed Charges, Clubs and Games , 1975 .

[63]  Louis J. Billera,et al.  Allocation of Shared Costs: A Set of Axioms Yielding A Unique Procedure , 1982, Math. Oper. Res..

[64]  E. Kohlberg On the Nucleolus of a Characteristic Function Game , 1971 .