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Impact Of Retailer Competition On Manufacturer'S Decisions And Profits At Equilibrium

Author

Listed:
  • PARSHURAM S. HOTKAR

    (Department of Management Studies, Indian Institute of Technology Madras, Chennai - 600036, India)

  • USHA MOHAN

    (Department of Management Studies, Indian Institute of Technology Madras, Chennai - 600036, India)

Abstract

As most of the supply chains in practice are decentralized, a key issue in supply chain management is to study the coordination of supply chain. The interactions among players are typically of two types, viz. vertical competition and horizontal competition. We use a game theoretic framework to analyze a two-stage supply chain. The supply chain is modeled as a Stackelberg game with a manufacturer as leader and multiple retailers as followers. We consider multiple retailers competing on quantities (Cournot competition) and study its impact on manufacturer's equilibrium decisions and profits. We show that the wholesale price contract does not achieve Nash equilibrium when retailers offer uniform pricing. On the other hand, in case of perfect price discrimination we prove the existence of unique Nash equilibrium in both deterministic and stochastic demand set-up. Under stochastic demand set-up, we consider information asymmetry between the manufacturer and retailers with respect to demand signal. Furthermore, we show the retailers' selling effort boost up the sales. As variance of sales can hurt the manufacturer's production decisions badly, we conjecture that the manufacturer can offer a retailer incentive contract which can manipulate retailers' equilibrium decision.

Suggested Citation

  • Parshuram S. Hotkar & Usha Mohan, 2013. "Impact Of Retailer Competition On Manufacturer'S Decisions And Profits At Equilibrium," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(04), pages 1-16.
  • Handle: RePEc:wsi:igtrxx:v:15:y:2013:i:04:n:s021919891340032x
    DOI: 10.1142/S021919891340032X
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    References listed on IDEAS

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    1. Patrick Bolton & Mathias Dewatripont, 2005. "Contract Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262025760, December.
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    More about this item

    Keywords

    Non-cooperative games; supply chain coordination; Cournot competition; Stackelberg game; information asymmetry; 91A10; 91A40; 91A80;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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