Convergence Analysis for Symmetric Arbitration Games FOA and DOA

Dao-Zhi Zeng; Harunori Shishido

doi:10.1111/1475-3995.00329

Convergence Analysis for Symmetric Arbitration Games FOA and DOA

Dao-Zhi Zeng, Harunori Shishido

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Up to now, results on the existence of Nash equilibrium have required either continuity of payoff functions or compactness of strategy sets. However, in the arbitration games FOA and DOA, neither condition is satisfied. This paper first gives a new existence result for a general game. The result is then applied to the symmetric arbitration games FOA and DOA. The conclusions of this paper generalize the main result of Zeng, Nakamura and Ibaraki (1996), that DOA leads to a convergence of offers but FOA does not. International Federation of Operational Research Societies 2001.

Original language	English
Pages (from-to)	511-521
Number of pages	11
Journal	International Transactions in Operational Research
Volume	8
Issue number	5
DOIs	https://doi.org/10.1111/1475-3995.00329
Publication status	Published - 2001 Jan 1
Externally published	Yes

Keywords

Convergence
Double-offer arbitration (DOA)
Final-offer arbitration (FOA)
Mixed-strategy Nash equilibrium

ASJC Scopus subject areas

Business and International Management
Computer Science Applications
Strategy and Management
Management Science and Operations Research
Management of Technology and Innovation

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10.1111/1475-3995.00329

Cite this

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N2 - Up to now, results on the existence of Nash equilibrium have required either continuity of payoff functions or compactness of strategy sets. However, in the arbitration games FOA and DOA, neither condition is satisfied. This paper first gives a new existence result for a general game. The result is then applied to the symmetric arbitration games FOA and DOA. The conclusions of this paper generalize the main result of Zeng, Nakamura and Ibaraki (1996), that DOA leads to a convergence of offers but FOA does not. International Federation of Operational Research Societies 2001.

AB - Up to now, results on the existence of Nash equilibrium have required either continuity of payoff functions or compactness of strategy sets. However, in the arbitration games FOA and DOA, neither condition is satisfied. This paper first gives a new existence result for a general game. The result is then applied to the symmetric arbitration games FOA and DOA. The conclusions of this paper generalize the main result of Zeng, Nakamura and Ibaraki (1996), that DOA leads to a convergence of offers but FOA does not. International Federation of Operational Research Societies 2001.

KW - Convergence

KW - Double-offer arbitration (DOA)

KW - Final-offer arbitration (FOA)

KW - Mixed-strategy Nash equilibrium

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Convergence Analysis for Symmetric Arbitration Games FOA and DOA

Abstract

Keywords

ASJC Scopus subject areas

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